Geometric Methods in Physics XLI

Dr. Piotr Kielanowski is a professor of theoretical and mathematical physics at the University of Białystok,Poland and during the period 1995-2023 he was a professor at the Center for Research and Advanced Studies ofthe Polytechnic University of Mexico in Mexico City (Centro de Investigación y de Estudios Avanzados). Hehas published more than 80 original papers in the field of particle phenomenology and has mentored severalPhD students. He is co-author of a book on quantum mechanics (Arno Bohm, Piotr Kielanowski, G. BruceMainland, Quantum Physics States, Observables and Their Time Evolution, Springer 2019, ISBN: 978-94-024-1760-9). He has been a member of the Organizing Committee of the Białowieża Workshop on GeometricMethods in Physics for about 20 years and has been the editor of successive volumes of the proceedings.Alina Dobrogowska is an associate professor of mathematics at the University of Białystok. Since2019, she has served as dean of the Faculty of Mathematics at the University of Białystok. Herscientific interests focus on topics such as: factorization method, orthogonal polynomials, integrablesystems, bi-Hamiltonian structures, Poisson geometry, Lie algebras and Lie algebroids. She haspublished around 40 original papers. She is also a coauthor of the book 40 Years of Workshop onGeometric Methods in Physics. She has been the member of the Organizing Committee of theWorkshop on Geometric Methods in Physics since 2001 and has been the editor of recent volumes ofthe proceedings. Dr. David Fernández is a professor of theoretical physics at the Center for Research and Advanced Studies ofthe National Polytechnic Institute in Mexico City. He has published more than 80 original papers in the field ofmathematical physics and has mentored 14 PhD students. He has made important contributions in thegeneration of exactly solvable Hamiltonians through the factorization method and supersymmetric quantummechanics. He has been a member of the Advisory Committee of the Białowieża Workshop on GeometricMethods in Physics since 2016.Dr. Tomasz Goliński is an assistant professor of mathematics at the University of Białystok,Poland. He has published around 20 original papers in the field of integrable systems and infinitedimensionalgeometry. He has been the scientific secretary of the Workshop on Geometric Methodsin Physics since 2003 and has been the editor of recent volumes of the proceedings. He is also acoauthor of the volume 40 Years of Workshop on Geometric Methods in Physics.

• Part I: Workshop Lectures.- Chapter 1 Scattering in phase space quantum mechanics – the Born approximation.- Chapter 2 The Schwarzschild’s solution and Mach’s principle.- Chapter 3 Geometric flows, entropy and nonlinear electrodynamics.- Chapter 4 Weird, Odd, Generalized.- Chapter 5 Restricted orbits of closed range operators.- Chapter 6 On certain Lie algebra structures.- Chapter 7 Darboux transformations applied to graphene in magnetic fields.- Chapter 8 Variants of asymptotics in the Belinski-Khalatnikov-Lifshitz scenario.- Chapter 9 Poisson structures in the Banach setting: comparison of different approaches -2.- Chapter 10 Q-manifolds and sigma models.- Chapter 11 Quasicrystal problem - on rigidity of non-periodic structures from statistical mechanics point of view.- Chapter 12 Qusicrystals in Vernam cipher.- Chapter 13 Explicit Formulae for Deformation Quantization with Separation of Variables of G2,4(C) .- Chapter 14 On the conformal Lie superalgebras K(1; N = 1; 2; 3) and related semi-supersymmetric integrable systems.- Chapter 15 Notes on equivalent formulations of Hamiltonian dynamics on multicotangent bundles.- Chapter 16 Star Product and Star Zeta Function.- Chapter 17 Partitions of unity and barycentric algebras.- Part II: Abstracts of Lectures at “XIII School on Geometry and Physics”.- Chapter 18 Nijenhuis Geometry and its Applications.- Chapter 19 Generalized geometry in relation to physics and mechanics -3 .- Chapter 20 Barycentric algebras — convexity and order.