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Geometric Methods in Physics XXXIX

Workshop, Białystok, Poland, 2022

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Piotr Kielanowski

    1. Departamento de Física, CINVESTAV, Ciudad de México, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  2. Alina Dobrogowska

    1. Faculty of Mathematics, University of Białystok, Białystok, Poland

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    You can also search for this editor in PubMed   Google Scholar

  3. Gerald A. Goldin

    1. Departments of Mathematics, Physics, Learning & Teaching, Rutgers University, New Brunswick, USA

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    You can also search for this editor in PubMed   Google Scholar

  4. Tomasz Goliński

    1. Faculty of Mathematics, University of Białystok, Białystok, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Provides an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas
  • Offers insight into recent developments at the intersection of mathematics and physics
  • Collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics in June 2022

Part of the book series: Trends in Mathematics (TM)

Included in the following conference series:

Conference proceedings info: WGMP 2022.

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Table of contents (28 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. In Memoriam: Anatol Odzijewicz 1947–2022

    • Piotr Kielanowski, Alina Dobrogowska, Gerald A. Goldin, Tomasz Goliński
    Pages 1-4

  3. In Memoriam: Emma Previato 1952–2022

    • Piotr Kielanowski, Alina Dobrogowska, Gerald A. Goldin, Tomasz Goliński
    Pages 5-6

  4. Session in Memory of Bogdan Mielnik

    1. Front Matter

      Pages 7-7
      Download chapter PDF

    2. Incomplete Visions…

      • Bogdan MielnikIf anyone is interested, the origins of my family were very diverse. My mother was born in the Caucasus. Her father, Manvelian, was an Armenian railway employee. The Czar’s bureaucracy changed its employees’ surnames to make them seem Russian. My mother was then born, already as Bolesława Manwelow. Her mother was Lithuanian, and her name was Gieysztor. Gieysztor’s sister was called Romana: she traveled a lot and finished her university studies in Saint Petersburg. She was then able to study at the Sorbonne, in Paris. When she was a teenager, my mother was sent to Poland. Her parents’ trace disappeared in Russia. After the First World War, Bolesława finished her studies and was one of the few women graduated at the Chemistry Department at the Warsaw Polytechnic (PW).
      Pages 9-18

    3. Memories About Bogdan Mielnik

      • Andrzej Krasiński
      Pages 19-29

    4. Scattering States of the Inverted Oscillator and Its Supersymmetric Partners

      • David Bermudez
      Pages 31-39

    5. The Klein Paradox in the Phase Space Quantum Mechanics

      • Luca Campobasso, Jaromir Tosiek
      Pages 41-45

    6. An Asymmetric Harmonic Oscillator

      • Goce Chadzitaskos
      Pages 47-55

    7. On the Construction of Position-Dependent Mass Models with Quadratic Spectra

      • Sara CruzyCruz, Miguel A. Medina-Armendariz
      Pages 57-74

    8. Bogdan Mielnik’s Contributions to the Factorization Method

      • David J. FernándezC.
      Pages 75-84

    9. The 1-D Dirac Equation in the Phase Space Quantum Mechanics

      • Jaromir Tosiek, Luca Campobasso
      Pages 85-94

    10. Canonical Photon Position Operator with Commuting Components

      • Michał Dobrski, Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates
      Pages 95-104

    11. Quantum Version of Euler’s Problem: A Geometric Perspective

      • Karol Życzkowski
      Pages 105-133

  5. Contributions to the XXXIX Workshop

    1. Front Matter

      Pages 135-135
      Download chapter PDF

    2. Solvable Lie Groups with Factor Regular Representations

      • Ingrid Beltiţă, Daniel Beltiţă
      Pages 137-145

    3. Pedal Coordinates and Orbits Inside Magnetic Dipole Field

      • Petr Blaschke
      Pages 147-158

    4. Hidden Symmetries of the Type D Metrics

      • Nora Breton, Alfonso S. Acevedo
      Pages 159-167

    5. On Some Structures of Lie Algebroids on the Cotangent Bundles

      • Alina Dobrogowska, Grzegorz Jakimowicz, Marzena Szajewska
      Pages 169-176

    6. Predicting “Anyons”: Implications of History for Science

      • Gerald A. Goldin
      Pages 177-186
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Other volumes

  1. Geometric Methods in Physics XXXIX

Keywords

About this book

This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas. Specific topics include:
  • Classical and quantum field theories
  • Infinite-dimensional groups
  • Integrable systems
  • Lie groupoids and Lie algebroids
  • Representation theory

Geometric Methods in Physics XXXIX will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.

Editors and Affiliations

  • Departamento de Física, CINVESTAV, Ciudad de México, Mexico

    Piotr Kielanowski

  • Faculty of Mathematics, University of Białystok, Białystok, Poland

    Alina Dobrogowska, Tomasz Goliński

  • Departments of Mathematics, Physics, Learning & Teaching, Rutgers University, New Brunswick, USA

    Gerald A. Goldin

About the editors

Dr. Piotr Kielanowski is a professor of theoretical and mathematical physics at the Center for Research and Advanced Studies of the Polytechnic University of Mexico in Mexico City. He has published more than 80 original papers in the field of particle phenomenology and has mentored several PhD students. He is the co-author of a book on quantum mechanics (Quantum Physics: States, Observables and Their Time Evolution, Springer, 2019). He has been a member of the Organizing Committee of the Białowieża Workshop on Geometric Methods in Physics for about 20 years, and has been the editor of successive volumes of the proceedings.

Dr. Alina Dobrogowska is a professor in the Faculty of Mathematics of the University of Białystok, Poland. She has published numerous papers on integrable systems, particularly in relation to factorization methods, bihamiltonian systems, q-difference equations and Lie algebroids. She has been a member of the Organizing Committee of the Workshopsince 2001, and since last year she is the chairman of the Organizing Committee.

Dr. Gerald A. Goldin is a distinguished professor of mathematics, physics, and mathematics education at Rutgers University in New Brunswick, New Jersey. His work in mathematical physics focuses on local current algebras and their representations, measures on infinite-dimensional configuration spaces, quantum vortex configurations, nonlinear electrodynamics, and nonlinear variations of quantum mechanics. With colleagues at Los Alamos National Laboratory, he was an early co-discoverer of the possibility of “anyon” and “nonabelian anyon” statistics. He is a recipient of the Alexander von Humboldt Research Prize in physics, and has been a Workshop participant for over 30 years.

Dr. Tomasz Goliński is an assistant professor in the Faculty of Mathematics of the University of Białystok, Poland. His research interests address various aspects of mathematical physics, with emphasis on topics related to problems of functional analysis and operator algebras. These include infinite dimensional geometry with emphasis on Poisson geometry on Banach manifolds, Banach Lie groupoids and algebroids, integrable systems, and factorization methods in their discrete version. He has been Secretary of the Workshop since 2003. 



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