Physical Sciences and Mathematics Commons^™

Evaluation Of Edison's Data Science Competency Framework Through A Comparative Literature Analysis, Karl R. B. Schmitt, Linda Clark, Katherine M. Kinnaird, Ruth E. H. Wertz, Björn Sandstede

Statistical and Data Sciences: Faculty Publications

During the emergence of Data Science as a distinct discipline, discussions of what exactly constitutes Data Science have been a source of contention, with no clear resolution. These disagreements have been exacerbated by the lack of a clear single disciplinary 'parent.' Many early efforts at defining curricula and courses exist, with the EDISON Project's Data Science Framework (EDISON-DSF) from the European Union being the most complete. The EDISON-DSF includes both a Data Science Body of Knowledge (DS-BoK) and Competency Framework (CF-DS). This paper takes a critical look at how EDISON's CF-DS compares to recent work and other published curricular or …

Advances And Applications Of Dsmt For Information Fusion. Collected Works, Volume 5, Florentin Smarandache, Jean Dezert, Albena Tchamova

Branch Mathematics and Statistics Faculty and Staff Publications

This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered.

First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of …

Using Qm/Mm Methods To Explore Sortase Enzyme Intermediates, Kinetics, And Stability, Kyle Whitham

WWU Graduate School Collection

Biochemistry has seen advancements in methods and understanding of the inner workings of proteins, yet biochemists struggle to see real time reaction pathways of protein intermediates. This is where computational chemistry comes in and fills in the holes in knowledge through the use of Quantum Mechanical (QM) models. QM chemistry alone does not give results in a reasonable timescale to predict protein chemistry in a reasonable amount of time. Computational chemistry methods such as Quantum mechanical (QM)/ Molecular Mechanical (MM) (QM/MM), allow us to split the in-silico system into two regions that utilize a fast MM force field region and …

Perceptual Anthropomorphic Walking Robot Platform For Navigation In Unstructured And Undifferentiated Environments, Luige Vladareanu, Mihai Rădulescu, Marius Pandelea, Hongbo Wang, Florentin Smarandache, Yongfei Feng, Ionel-Alexandru Gal, Alexandra C. Ciocîrlan

Branch Mathematics and Statistics Faculty and Staff Publications

This scientific presentation studies the VIPRO Platform for control of Anthropomorphic Walking Robots (AWR), the architecture control system of the SiMeLA MP robot motion, and shows several experimental results.

Lagrange Multipliers And Neutrosophic Nonlinear Programming Problems Constrained By Equality Constraints, Maissam Jdid, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Operations research science is defined as the science that is concerned with applying scientific methods to complex problems in managing and directing large systems of people, including resources and tools in various fields, private and governmental work, peace and war, politics, administration, economics, planning and implementation in various domains. It uses scientific methods that take the language of mathematics as a basis for it and uses computer, without which it would not have been possible to achieve numerical solutions to the raised problems, those that need correct solutions, when the solutions abound and the options are multiple, so we need …

New Types Of Soft Sets: Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set - An Improved Version, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.

Complex Fermatean Neutrosophic Graph And Application To Decision Making, Said Broumi, Swaminathan Mohanaselvi, Tomasz Witczak, Mohamed Talea, Assia Bakali, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Original scientific paper Abstract: A new growing area of the neutrosophic set theory called complex neutrosophic sets (CNS) provides useful tools for dealing with uncertainty in complex valued physical variables that are observed in the actual world. A CNS takes values for the truth, indeterminacy and falsity membership functions in the complex plane's unit circle. In this research, a novel concept of complex fermatean neutrosophic graph (CFNG) is established and various basic graphical ideas such as the order, size, degree and total degree of a vertex of it are introduced. Also, set theoretical operations such as complement, union, join, ring-sum …

A New Type Of Neutrosophic Set In Pythagorean Fuzzy Environment And Applications To Multi-Criteria Decision Making, Mahmut Can Bozyıgıt, Murat Olgun, Florentin Smarandache, Mehmet Unver

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we introduce the concepts of Pythagorean fuzzy valued neutrosophic set (PFVNS) and Pythagorean fuzzy valued neutrosophic (PFVNV) constructed by considering Pythagorean fuzzy values (PFVs) instead of numbers for the degrees of the truth, the indeterminacy and the falsity, which is a new extension of intuitionistic fuzzy valued neutrosophic set (IFVNS). By means of PFVNSs, the degrees of the truth, the indeterminacy and the falsity can be given in Pythagorean fuzzy environment and more sensitive evaluations are made by a decision maker in decision making problems compared to IFVNSs. In other words, such sets enable a decision maker …

[Research Note] The Random Somatic Mutation Is Not Quite Random, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This research note challenges the idea that Random Somatic Mutations are entirely random, highlighting their non-equiprobable nature and their influence on evolution, involution, or indeterminacy. It recalls the Neutrosophic Theory of Evolution, extending Darwin’s theory, and emphasizes the importance of distinguishing between different senses of “random mutation” in evolutionary theory.

Medical Diagnosis Via Refined Neutrosophic Fuzzy Logic: Detection Of Illness Using Neutrosophic Sets, K. Hemabala, B. Srinivasa Kumar, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The objective of the paper is to implement and validate diagnosis in the medical field via refined neutrosophic fuzzy logic (RNFL). As such, we have proposed a Max-Min composition (MMC) method in RNFL. This method deals with the diagnosis under certain constraints like uncertainty and indeterminacy. Further, we have considered the diagnosis problems to validate the sensitivity analysis of the novel multi attribute decision-making technique. Finally, we gave the graphical representations and compared the obtained results with other existing measures in refined neutrosophic fuzzy sets.

150+1 Probleme (Și Soluțiile Lor) 150+1 / Problems (And Their Solutions) - Bilingual Romanian-English, Carina Maria Viespescu, Lucian Tutescu, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Cartea se adresează elevilor de gimnaziu și liceu, profesorilor și celor pasionați de matematică, conținând 150+1 probleme, urmate de soluții, pentru a fi mai ușor savurate de cititor. Ultima problemă (150+1) foarte interesantă lasă loc de comentarii și generalizări.

This book is written for middle and high school students, for teachers and for those with a passion for math, containing 150+1 problems (which are followed by solutions) to make it more accessible to the reader. The last problem (150+1), a very interesting one, leaves some space for comments and generalizations.

Linguistic Multidimensional Spaces, W. B. Vasantha Kandasamy, Ilanthenral K., Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book extends the concept of linguistic coordinate geometry using linguistic planes or semi-linguistic planes. In the case of coordinate planes, we are always guaranteed of the distance between any two points in that plane. However, in the case of linguistic and semi-linguistic planes, we can not always determine the linguistic distance between any two points. This is the first limitation of linguistic planes and semi-linguistic planes.

Generalized Plithogenic Whole Hypersoft Set, Pfhss-Matrix, Operators And Applications As Covid-19 Data Structures, Shazia Rana, Muhammad Saeed, Madiha Qayyum, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This article is a preliminary draft for initiating and commencing a new pioneer dimension of expression. To deal with higher-dimensional data or information flowing in this modern era of information technology and artificial intelligence, some innovative super algebraic structures are essential to be formulated. In this paper, we have introduced such matrices that have multiple layers and clusters of layers to portray multi-dimensional data or massively dispersed information of the plithogenic universe made up of numerous subjects their attributes, and sub-attributes. For grasping that field of parallel information, events, and realities flowing from the micro to the macro level of …

Graphical Method For Solving Neutrosophical Nonlinear Programming Models, Florentin Smarandache, Maissam Ahmad Jdid

Branch Mathematics and Statistics Faculty and Staff Publications

An important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. The models that contain only two variables are among the most models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references and research that are concerned with the science of operations research, when the data of the issue under study is classical data. In this research, we will present a study through, which we present the graphical method …

Beyond Negation And Excluded Middle: An Exploration To Embrace The Otherness Beyond Classical Logic System And Into Neutrosophic Logic, Florentin Smarandache, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

As part of our small contribution in dialogue toward better peace development and reconciliation studies, and following Toffler & Toffler’s War and Antiwar (1993), the present article delves into a realm of logic beyond the traditional confines of negation and the excluded middle principle, exploring the nuances of "Otherness" that transcend classical and Nagatomo logics. Departing from the foundational premises of classical Aristotelian logic systems, this exploration ventures into alternative realms of reasoning, specifically examining Neutrosophic Logic and Klein bottle logic (cf. Smarandache, 2005). The study challenges conventional boundaries and explores the implications of embracing paradoxes and self-reference in logic …

Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.

Assessing The Effectiveness Of A Chatbot Workshop As Experiential Teaching And Learning Tool To Engage Undergraduate Students, Kyong Jin Shim, Thomas Menkhoff, Ying Qian Teo, Clement Shi Qi Ong

Research Collection School Of Computing and Information Systems

In this paper, we empirically examine and assess the effectiveness of a chatbot workshop as experiential teaching and learning tool to engage undergraduate students enrolled in an elective course “Doing Business with A.I.” in the Lee Kong Chian School of Business (LKCSB) at Singapore Management University. The chatbot workshop provides non-STEM students with an opportunity to acquire basic skills to build a chatbot prototype using the ‘Dialogflow’ program. The workshop and the experiential learning activity are designed to impart conversation and user-centric design know how and know why to students. A key didactical aspect which informs the design and flow …

Comments On U.S. Funding For Ghg Corporate Reporting Standardization, Columbia Center On Sustainable Investment, Sabin Center For Climate Change Law

Columbia Center on Sustainable Investment

The Columbia Center on Sustainable Investment (“CCSI”) and the Sabin Center for Climate Change Law (“Sabin Center”) are pleased to submit our joint comments on how appropriations made to the Environmental Protection Agency (“EPA”) under the Inflation Reduction Act of 2022 (“IRA”) can best be used to enhance the agency’s efforts to standardize corporate climate commitments, improve transparency around greenhouse gas reductions, and accelerate progress towards decarbonization in the corporate sphere. This Comment focuses on the funding provided to the EPA under Section 60111, on Greenhouse Gas (“GHG”) Reporting.

Molecular Understanding Of Zwitterions And Quantum Computing For Sustainability, Manh Tien Nguyen

Theses and Dissertations--Chemical and Materials Engineering

The sustainable development of society needs sustainable energy solutions and the mitigation of greenhouse gas emissions. One key subject in this area is the development of safe and efficient ion-based batteries. Moreover, CO₂ capture is a crucial pathway in mitigating emissions from the combustion of fossil fuels. Ongoing efforts are to improve both technologies' safety and efficiency. This thesis presents our efforts to conduct computational research on understanding advanced zwitterionic electrolytes and CO₂ capture. Chapters 2-4 illustrate the computational research to understand ionic solvation in zwitterionic electrolytes. Solid-state electrolytes are essential for safer batteries. While solid polymer electrolytes …

A Psychometric Study Of Thai Farmer's Risk Perception On Agricultural Risks, Cato Lacroix

Chulalongkorn University Theses and Dissertations (Chula ETD)

Agricultural risks, such as pests and disease, crop price, debt, and floods and/or droughts, pose a threat to farmers as their livelihood relies on their crop yields. The purpose of this research is to evaluate cash crop and high-value crop farmers’ risk perception towards agricultural risks, as well as their ability to cope and deal with these risks in Ayutthaya and Chanthaburi Province, Thailand. To determine the perceptions on agricultural risk, the psychometric paradigm was used which is among the first study in Thailand to do so. This study hypothesized that different crop types, farming regions, and socio-economic factors, may …

การใช้การคิดเชิงออกแบบเพื่อพัฒนาโมไบล์แอปพลิเคชันของธุรกิจให้บริการรับฝากสัตว์เลี้ยง, แพรวกมล ฤกษ์พินธุวัฒน์

Chulalongkorn University Theses and Dissertations (Chula ETD)

ในปัจจุบันคนส่วนใหญ่นิยมเลี้ยงสัตว์เลี้ยงเพิ่มมากขึ้นโดยเฉพาะสุนัขและแมว ส่งผลให้ธุรกิจการรับฝากสัตว์เลี้ยงเป็นที่ต้องการของตลาดมากขึ้น แต่เนื่องด้วยปัจจัยด้านความสะดวก ค่าใช้จ่าย ทำให้เจ้าของสัตว์เลี้ยงบางกลุ่มเลือกฝากสัตว์เลี้ยงของตนไว้กับคนกลุ่มอื่น เช่น ญาติ พี่น้อง โดยคนกลุ่มนี้อาจเป็นบุคคลที่มีความพร้อมความสามารถในการดูแลสัตว์เลี้ยง และสามารถหารายได้เพิ่มจากการรับฝาก จากพฤติกรรมของคนที่ต้องการฝากสัตว์เลี้ยงและคนรับฝากสัตว์เลี้ยงทั้งสองกลุ่มจึงนำมาสู่โอกาสทางธุรกิจในรูปแบบการแบ่งปันทรัพยากร (ที่พักสัตว์เลี้ยง) ผ่านช่องทางโมไบล์แอปพลิเคชันของธุรกิจให้บริการรับฝากสัตว์เลี้ยง ในการพัฒนาโมไบล์แอปพลิเคชันเพื่อตอบสนองความต้องการการดำเนินการรับฝากสัตว์เลี้ยง จำเป็นต้องนำหลักการคิดเชิงออกแบบมาช่วยในกระบวนการคิดและออกแบบให้สามารถตอบสนองความต้องการที่แท้จริงของผู้ใช้ ตั้งแต่การค้นหาผู้รับฝากและการยืนยันการรับฝาก โดยผู้ใช้งานทั้งสองกลุ่มจำเป็นต้องทราบรายละเอียดและข้อมูลการรีวิวเพื่อสามารถตัดสินใจฝากหรือรับฝากสัตว์เลี้ยงที่ต้องการได้ รวมถึงการติดตามสัตว์เลี้ยงในระหว่างการรับฝากเพื่อให้ผู้ฝากคลายความกังวลระหว่างการรับฝาก และการรายงานประวัติการรับฝากสัตว์เลี้ยงเพื่อให้ผู้รับฝากสามารถทราบผลการดำเนินการย้อนหลังได้ ระบบต้นแบบของโครงการการใช้การคิดเชิงออกแบบเพื่อพัฒนาโมไบล์แอปพลิเคชันของธุรกิจให้บริการรับฝากสัตว์เลี้ยงถูกสร้างจากเครื่องมือ Figma สามารถเป็นระบบต้นแบบโมไบล์แอปพลิเคชันของธุรกิจให้บริการรับฝากสัตว์เลี้ยงที่สามารถใช้งานได้จริง โดยสามารถตอบสนองความต้องการของผู้ใช้งานทุกกลุ่มอย่างแท้จริง

ระบบสารสนเทศของธุรกิจให้บริการดำเนินการยื่นเอกสารขออนุญาตทำงานในประเทศลาว, รักชนก จันทน์แดง

Chulalongkorn University Theses and Dissertations (Chula ETD)

ในปัจจุบัน สาธารณรัฐประชาธิปไตยประชาชนลาวได้มีการเปิดเขตเศรษฐกิจพิเศษจำนวน 12 เขต และมีการเปิดใช้งานรถไฟความเร็วสูง ทำให้มีอัตราการจ้างงานในประเทศมากขึ้น แต่ทักษะแรงงานภายในประเทศไม่เพียงพอ ทางภาคธุรกิจจึงต้องการแรงงานต่างชาติที่มีทักษะเพื่อช่วยพัฒนาเศรษฐกิจให้เติบโต ดังนั้น ธุรกิจการเป็นตัวแทนให้บริการยื่นเอกสารที่สำคัญสำหรับแรงงานต่างชาติที่ทำงานและอาศัยอยู่ในประเทศลาวจึงต้องการรองรับการเพิ่มขึ้นของแรงงานต่างชาติ โครงการพัฒนา “ระบบสารสนเทศของธุรกิจให้บริการดำเนินการยื่นเอกสารขออนุญาตทำงานในประเทศลาว” ประกอบไปด้วย 7 ระบบย่อย มีการทำงานและใช้ข้อมูลร่วมกัน ดังนี้ (1) ระบบจัดการสิทธิ์พนักงาน (2) ระบบการลงทะเบียนลูกค้า (3) ระบบการจัดการการให้บริการ (4) ระบบการเบิกค่าใช้จ่ายสำหรับการยื่นเอกสาร (5) รับบการแจ้งหนี้และรับชำระเงิน (6) ระบบการออกรายงาน (7) ระบบวิเคราะห์ข้อมูลธุรกิจการให้บริการยื่นเอกสาร โดยใช้เครื่องมือหลักในการพัฒนาคือ Google AppSheet Application ที่เป็นแอปพลิเคชันที่สามารถใช้ในการสร้าง Web Application โดยทำงานร่วมกับ AppSheet Database และ Looker Studio Application สำหรับการวิเคราะห์ข้อมูลธุรกิจการให้บริการยื่นเอกสารเพื่อให้ได้ข้อมูลเชิงลึกไปใช้ในการพัฒนาธุรกิจ ระบบที่พัฒนาขึ้นในโครงการนี้จึงมีจุดประสงค์เพื่อช่วยให้สร้างฐานข้อมูลที่รวบรวมข้อมูลที่จำเป็นต่อการให้บริการและการดำเนินธุรกิจการขออนุมัติเอกสารสำคัญในการทำงานในประเทศลาวของแรงงานต่างชาติและสามารถสร้างรายงานที่สามารถใช้พัฒนาคุณภาพการให้บริการขออนุมัติเอกสารสำคัญในการทำงานในประเทศลาวของแรงงานต่างชาติ

Development Of Spreadsheet-Based Simulation To Reduce Number Of Experimental Trials In Separation With Comprehensive Two-Dimensional Gas Chromatography, Chisanupong Kunmas

Chulalongkorn University Theses and Dissertations (Chula ETD)

Method development and optimization in comprehensive two- dimensional gas chromatography (GC´GC) is a process with the requirement to perform a large number of experiments maximizing the number of separated components in each sample. These are the skills which cannot be developed by students in a general lecture class; while, they can be achieved in a laboratory although with consumption of large amount of budget, energy and time. This thesis developed a spreadsheet in Microsoft Excel format to simulate a GC´GC retention time plot and a number of separated peaks for a given sample within a few milliseconds. Application of this …

Dynamic Nearest Neighbor Classifier Using Mass-Ratio-Variance Outlier Factors For Class Imbalance Problem, Patcharasiri Fuangfoo

Chulalongkorn University Theses and Dissertations (Chula ETD)

The objective of classifcation is to assign a class to a given data instance. One well-recognized classifer is the k-NN model, where the class of an instance is determined by considering the majority class among its k nearest neighbors. However, k-NN’s performance weakens in imbalanced datasets. To address this, adjusting k for each instance based on factors like its position relative to clusters or isolation, and integrating density-based scores from a parameterfree Mass-ratio-variance Outlier Factor (MOF) into the k-NN process, helps determine suitable nearest neighbors. Our research focuses on the development of a dynamic nearest neighbor classifer tailored specifcally to …

Usability Evaluation Of Iot Based Hvac Dashboard, Rubina Shrestha

Chulalongkorn University Theses and Dissertations (Chula ETD)

This thesis presents a usability evaluation of a smart Heating, Ventilation, and Air Conditioning (HVAC) dashboard interface through a cross-cultural study. The objective is to assess the usability problems and evaluate the user experience of the interface through quantitative and qualitative analysis. The study recruited 20 participants from three different countries, considering their familiarity and unfamiliarity with smart HVAC systems. The participants performed a set of tasks using the dashboard while providing think-aloud feedback. The quantitative evaluation measured effectiveness, efficiency, and user satisfaction based on the ISO:9241-11:2018, while the qualitative evaluation focused on identifying usability issues based on participant feedback …

Impact Of External Factors On Air Passenger Demand Prediction Using Machine Learning, Sutthiya Lertyongphati

Chulalongkorn University Theses and Dissertations (Chula ETD)

Do external factors impact the volume of air passengers? Can they be employed to analyze the dependency of hidden parameters in demand forecast strategies? In this research, a framework is proposed to investigate the impact of external factors on demand for air travel by combining the features extracted from various platforms with the historical volume of inbound passenger data from January 2011 to December 2021 and comparing the information symmetry to uncover relations between the data, proving whether they contributed to the shift in demand. A selection of machine learning regression models, namely, gradient boosting, random forest, and support vector …

Meta-Analysis Of Mesenchymal Stem Cell Gene Expression Data From Obese And Non-Obese Patients, Dakota William Shields

Masters Theses

"The prevalence of gene expression microarray datasets in public repositories gives opportunity to analyze biologically interesting datasets without running the laboratory aspect in house. Such experimentation is expensive in terms of finances, time, and expertise, which often results in low numbers of replicates. Meta-analysis techniques attempt to overcome issues due to few biological or technical replicates by combining separate experiments together to increase statistical power. Proper statistical considerations help to offset issues like simultaneous testing of thousands of genes, unintended hybridization, and other noises.

Microarrays contain light intensities from tens of thousands of hybridized probes giving a measure of gene …

Powerful Yet Lonely: Is 3c 297 A High-Redshift Fossil Group?, Valentina Missaglia, Juan P. Madrid, Mischa Schirmer, Francesco Massaro, Alberto Rodríguez-Ardila, Carlos J. Donzelli, Martell Valencia, Alessandro Paggi, Ralph P. Kraft, Chiara Stuardi, Belinda J. Wilkes

Physics and Astronomy Faculty Publications and Presentations

The environment of the high-redshift (z = 1.408), powerful radio-loud galaxy 3C 297 has several distinctive features of a galaxy cluster. Among them, a characteristic halo of hot gas revealed by Chandra X-ray observations. In addition, a radio map obtained with the Very Large Array shows a bright hotspot in the northwestern direction, created by the interaction of the active galactic nucleus (AGN) jet arising from 3C 297 with its environment. In the X-ray images, emission cospatial with the northwestern radio lobe is detected, and peaks at the position of the radio hotspot. The extended, complex X-ray emission observed …

The Importance Of The Pressure Anisotropy Induced By Strong Magnetic Fields On Neutron Star Physics, Efrain J. Ferrer, Aric Hackebill

Physics and Astronomy Faculty Publications and Presentations

In this paper we discuss in some detail how the pressures determined from semi-classical statistical averaging of the energy momentum tensor in the presence of a uniform background magnetic field are anisotropic with different pressures arising along and perpendicular to the magnetic field direction. Hence, we analyze how this result can affect two important characteristics of dense magnetized systems: (i) The hadron-quark phase transition in the presence of a magnetic field, (ii) The behavior of the speed of sound in dense magnetized systems. Taking into account that large magnetic fields are expected to be present in the interior of neutron …

Non-Hermitian Skin Effect In Two Dimensional Continuous Systems, Cem Yuce, Hamidreza Ramezani

Physics and Astronomy Faculty Publications and Presentations

An extensive number of the eigenstates can become exponentially localized at one boundary of nonreciprocal non-Hermitian systems. This effect is known as the non-Hermitian skin effect and has been studied mostly in tight-binding lattices. To extend the skin effect to continues systems beyond 1D, we introduce a quadratic imaginary vector potential in the continuous two dimensional Schr¨odinger equation. We find that inseparable eigenfunctions for separable nonreciprocal Hamiltonians appear under infinite boundary conditions. Introducing boundaries destroy them and hence they can only be used as quasistationary states in practice. We show that all eigenstates can be clustered at the point where …