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José Morales E. Assistant Professor, UTSA Mathematics/Physics & A. Depts.

José Morales E. Assistant Professor, UTSA Mathematics/Physics & A. Depts.

Research Group on Kinetic Methods for Quantum and Semi-classical Problems.

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Welcome

My work is related to the interdisciplinary connections between the mathematical models derived from Kinetic Theory, the non-equilibrium statistical mechanics of Quantum & (Semi-)Classical Physics phenomena, and their different computational modeling techniques. Current work encompasses, for example, Entropy-stable Discontinuous Galerkin schemes for Boltzmann-Poisson models of collisional electronic transport along energy bands, inverse problems in Electrochemistry solved via Bayesian Estimation and Multi-Objective Optimization techniques, Uncertainty Quantification in the Boltzmann-Poisson system for semiconductors, among others. Thus, this work has potential implications for pure research in Quantum Mechanics phenomena such as electron transport, for example, as well as for applied research in the context of nanotechnology and Li-ion batteries, with the aid of Computational Science.

Research Group

KINETIC METHODS FOR QUANTUM & SEMI-CLASSICAL PROBLEMS LAB. PI’s short bio: Ph.D. in Computational Science, Engineering, and Mathematics, ICES – UT Austin. B. Sc. in Physics (Físico), UNAM, Mexico. jose.morales4@utsa.edu 512-693-7574 PI: José A. Morales E., Assistant Professor, UTSA Math and Physics & A. Depts. I enjoy doing research on…Continue reading “Research Group”

1Jan 20168 Apr 2026

Publications

[1] I. M. Gamba, A. Majorana, J. Morales and C.W. Shu, A fast approach to discontinuous Galerkin solvers for Boltzmann-Poisson transport…

29Dec 201523 May 2024

Teaching Record

@ The University of Texas at San Antonio Spring 2023: Instructor for Quantum Mechanics II (PHY 4423). Department of Physics…

23Dec 201531 Aug 2022

CV/Resume

SHORT CV Assistant Professor, The University of Texas at San Antonio Mathematics and Physics & Astronomy Departments, 2020 Postdoctoral Fellow…

Anonymous Students’ Evaluations

“I especially enjoyed the background Professor Morales brings to this course. His experience in engineering, mathematics, physics, and other areas both in academia and outside have been very appreciated in this course. I have also really appreciated how he brings these experiences into his lectures and homeworks so that students gain at least some exposure and experience in a variety of fields; and how he has encouraged the use of technology to aid in learning the technology as well as learning the subject of our course itself. Professor Morales has also taken a very active role in the learning of students this semester and has encouraged students to take an active role in their own studies.”

UTSA student on MAT-3613 Fall 2024 course on Differential Equations 1

“Its absolutely amazing whenever a math teacher is able to give examples of real world problems and this is exactly what the teacher was able to do. Especially with calculus, this teacher is super nice and wants to make sure you know what you are
doing!”

UTSA Calculus 1 face-to-face course Student, Fall 2021

“The course and the material taught was excellent, I know this is your first year with UTSA, and I want to say that I truly appreciate your formal note taking for the class. It’s an amazingly neat summarization of what we need to learn, that I have never seen before.
The material was difficult at times, but the structure of the class was excellent. I greatly appreciate your effort put on this class, and I hope that you continue to do so for your future classes.
Thank you for educating me on a difficult course!”

UTSA Quantum Mechanics II Student, Spring 2021

“One of the most beneficial aspects of the class was that the instructor specified and clarified assumptions, limitations, and regimes of and in the different topics we were covering. This is what I was hoping to get out of the class: clear boundaries on when, for example, to treat a problem in research as microscopic or macroscopic, assume high or low temperatures, and how to identify what ensemble regimes a problem is in. This is the core of what I wanted to get out of the class since it is one of the most important parts of building physical models. The only change I would make would be to reduce the number of topics covered so that we could slow the class down. I would have preferred the syllabus to be cut in half, but I understand that it’s a core class for a wide variety of focuses for students (ex. space science, engineering, mathematics, etc.). So, if that can’t be helped, maybe a time at the start of the semester for each student to write or say they’re research focus. It might narrow down the list of topics covered.


Some notes about the instructor that stood out to me are that: They never missed a single day of class or wasted a single minute of class, and again, they clarified important nuances in when the topics we studied applied and to what situations.
The latter actually shed light on misconceptions I had carried with me and cleared up some of my background knowledge coming into the class. This was very important to me. Lastly, I’ll say there was a survey at the start of the semester for the instructor to understand the range of background knowledge for people. I think this helped guide the course quite a bit and resulted in no time being wasted on concepts all of the class had been exposed to before and any math or derivations that only some of the class had seen, it was a good chance to review for the rest of us.”

UTSA Graduate Statistical Mechanics Student, Spring 2022

“Dr. Morales is teaching a very challenging and experimental course and he is clearly up for the task. It was clear throughout the semester that Dr. Morales was constantly trying to improve his course and teaching style, including by seeking and incorporating advice from experts in the field of quantum education.”

UTSA student on Grad Quantum Information course, Fall 2024

Teaching…

Grad Statistical Mechanics – PHY 5303 – UTSA Spring ’26

26 Jan 20268 May 2026
Syllabus MODULE 1: Equilibrium statistical mechanics. Lecture 2 handwritten notes (GenAI HTML translation below) Statistical Mechanics – Lecture 2 body { font-family: "Georgia", "Times New Roman", serif; line-height: 1.6; margin:…
Teaching…

Applied Linear Algebra (MAT 2253) Section 06 – UTSA, Fall 2025

21 Aug 202523 Sep 2025
The Matrix Syllabus Lecture for week 1 Lecture for weeks 2-3 Lecture for week 4 Midterm 1 Study Guide Main Reference for the UTSA Applied Linear Algebra Coordinated Course: Mathematics…
Teaching…

Quantum 2 – PHY 4423 – UTSA Spring ’25

20 Jan 202520 Jan 2025
Syllabus and Schedule Main References: • Quantum Mechanics, by D. McIntyre (Pearson, 2012). • Introduction to Quantum Mechanics, 3rd Edition, by D.J. Griffiths and D. L. Schroeter (2018, Cambridge University…
Teaching…

Quantum Info – MAT5983 / PHY7973 UTSA Fall ’24

9 Aug 202416 Aug 2024
Peter Shor (MIT) “Green Family Lecture: The Development of Quantum Error Correction”, 11-28-2023, IPAM-UCLA. Syllabus Lesson 4 Solutions to the Heat eq. and free particle Schroedinger's equation by Fourier Transforms…
Teaching…

Mat3613 – DE-1 @UTSA Fall ’24

8 Aug 202411 Sep 2024
Figure: from David Earn's lecture on "A taste of epidemic modeling - A mathematical model of infectious disease transmission". Course website Syllabus https://youtu.be/C4OBBZZxEYg Slides on 'Predator-Prey & Competition Models' (Original…
Outreach & Seminars

Seminario IFUNAM de Sistemas Complejos

28 Jun 202428 Jun 2024
Métodos Computacionales en Ecuaciones Cinéticas Cuánticas y Semiclásicas 06-10-2024 Instituto de Física, UNAM | Ciudad Universitaria 04510 CDMX, México. https://www.youtube.com/watch?v=9uyx6HZNotI https://www.fisica.unam.mx/
News & Updates

McMaster’s Dept. of Math & Stats – 80th Anniversary

7 May 20247 May 2024
Page in Virtual Yearbook celebrating the Dept. 80th anniversary.  Jose Morales Escalante Class of 2020, Postdoctoral Studies in Applied Mathematics Assistant Professor at the University of Texas at San Antonio Right…
News & Updates

Hamza Patwa receives Goldwater Scholarship

10 Apr 202424 May 2024
Hamza Patwa, a UTSA Honors Undergrad working in our research group (Major in Physics, minors in Mathematics and Computer Science) has been named a Barry Goldwater Scholar. The Barry Goldwater Scholarship and Excellence in Education Foundation…
Publications

IPAM White Paper: Mathematical and Computational Challenges in Quantum Computing

19 Mar 202410 Apr 2024
This document serves as a summary of the research activities and outcomes of the Long Program, “Mathematical and Computational Challenges in Quantum Computing”. PDF in this link. Posted on 1/22/24…
Teaching…

Quantum 2 – PHY 4423 – UTSA Spring ’24

19 Jan 20241 Feb 2024
Syllabus and Schedule Lecture 1A: Quantum Harmonic Oscillator (Part 1) Lecture 1B: Quantum Harmonic Oscillator (Part 2) Main References: • Quantum Mechanics, by D. McIntyre (Pearson, 2012). • Introduction to…

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Older posts

Master equation under harmonic potential (density matrix, real part)

https://youtu.be/6LiCC2553TI

Master equation under harmonic potential (density matrix, imag part)

https://youtu.be/VWRqp2csmcM

Archives

Contact Info

University of Texas at San Antonio
1 UTSA Circle
San Antonio TX 78249
Mathematics Dept. Office: FLN 4.01.40
Physics & A. Dept. Office: AET 3.242
+1-512-693-7574
jose.morales4@utsa.edu
Office Hours for Summer 2026 Mathematics office: 9am-12pm & 3pm-6pm Physics & Astronomy office: 12-3pm.
Location:
Mathematics office: FLN 4.01.40.
Physics & A. office: AET 3.242.
  • 1 UTSA Cir, San Antonio, TX, United States

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