Symmetries in Quantum Mechanics and Statistical Physics

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: classical and quantum mechanics; classical general relativity; contact potentials; curved space; degenerate perturbation theory; Dirac equation; Green’s function; Hilbert-space geometry near EPs; infinite square well; Klein–Gordon equation; Klein–Gordon oscillator; localization; n/a; non-Hermitian quantum dynamics; position-dependent mass; power-law duality; Proca equation; quantum mechanics; quark confinement; Reference, Information and Interdisciplinary subjects; relativistic wave equation; Research and information: general; scattering; self-adjoint extensions; semiclassical quantization; semiclassical theories and applications; shape invariance; spreading wave function; supersymmetric quantum mechanics; supersymmetry; Technology, Engineering, Agriculture, Industrial processes; Technology: general issues; unitary vicinity of exceptional points
• ISBN: 9783036524788; 3036524797; 9783036524795; 3036524789
• DOI: 10.3390/books978-3-0365-2478-8

This book collects contributions to the Special Issue entitled "Symmetries in Quantum Mechanics and Statistical Physics" of the journal Symmetry. These contributions focus on recent advancements in the study of PT–invariance of non-Hermitian Hamiltonians, the supersymmetric quantum mechanics of relativistic and non-relativisitc systems, duality transformations for power–law potentials and conformal transformations. New aspects on the spreading of wave packets are also discussed.