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Supersymmetry. --- Quantum theory. --- Statistical physics. --- Supersymétrie --- Théorie quantique --- Physique statistique --- Supersymétrie --- Théorie quantique

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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.

Research & information: general --- Technology: general issues --- non-Hermitian quantum dynamics --- unitary vicinity of exceptional points --- degenerate perturbation theory --- Hilbert-space geometry near EPs --- relativistic wave equation --- Klein–Gordon equation --- Dirac equation --- Proca equation --- supersymmetry --- quantum mechanics --- shape invariance --- curved space --- position-dependent mass --- supersymmetric quantum mechanics --- self-adjoint extensions --- infinite square well --- contact potentials --- power-law duality --- classical and quantum mechanics --- semiclassical quantization --- quark confinement --- spreading wave function --- scattering --- localization --- Klein–Gordon oscillator --- Green’s function --- semiclassical theories and applications --- classical general relativity --- n/a --- Klein-Gordon equation --- Klein-Gordon oscillator --- Green's function

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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.

Research & information: general --- Technology: general issues --- non-Hermitian quantum dynamics --- unitary vicinity of exceptional points --- degenerate perturbation theory --- Hilbert-space geometry near EPs --- relativistic wave equation --- Klein-Gordon equation --- Dirac equation --- Proca equation --- supersymmetry --- quantum mechanics --- shape invariance --- curved space --- position-dependent mass --- supersymmetric quantum mechanics --- self-adjoint extensions --- infinite square well --- contact potentials --- power-law duality --- classical and quantum mechanics --- semiclassical quantization --- quark confinement --- spreading wave function --- scattering --- localization --- Klein-Gordon oscillator --- Green's function --- semiclassical theories and applications --- classical general relativity --- non-Hermitian quantum dynamics --- unitary vicinity of exceptional points --- degenerate perturbation theory --- Hilbert-space geometry near EPs --- relativistic wave equation --- Klein-Gordon equation --- Dirac equation --- Proca equation --- supersymmetry --- quantum mechanics --- shape invariance --- curved space --- position-dependent mass --- supersymmetric quantum mechanics --- self-adjoint extensions --- infinite square well --- contact potentials --- power-law duality --- classical and quantum mechanics --- semiclassical quantization --- quark confinement --- spreading wave function --- scattering --- localization --- Klein-Gordon oscillator --- Green's function --- semiclassical theories and applications --- classical general relativity

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As with the earlier edition, this book provides an accessible introduction to supersymmetric quantum mechanics and its applications in quantum, statistical and solid state physics. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the Pauli and Dirac Equation, coherent states and non-linear algebras. Aimed at graduate students and scientists this book provides a thorough review on supersymmetric quantum mechanics and now includes problems and solutions.

Supersymmetry. --- Quantum theory. --- Statistical physics. --- Quantum physics (quantum mechanics & quantum field theory). --- SCIENCE / Physics / Quantum Theory.

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