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Non-Hermitian Hamiltonians in Quantum Physics

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Cover of 'Non-Hermitian Hamiltonians in Quantum Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Real Discrete Spectrum of Complex PT-Symmetric Scattering Potentials
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    Chapter 2 Geometrical and Asymptotical Properties of Non-Selfadjoint Induction Equation with the Jump of the Velocity Field. Time Evolution and Spatial Structure of the Magnetic Field
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    Chapter 3 PT Symmetric Classical and Quantum Cosmology
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    Chapter 4 Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that
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    Chapter 5 Generalized Jaynes-Cummings Model with a Pseudo-Hermitian: A Path Integral Approach
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    Chapter 6 Exceptional Points in a Non-Hermitian Extension of the Jaynes-Cummings Hamiltonian
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    Chapter 7 $$\mathscr {D}{-}$$ D - Deformed and SUSY-Deformed Graphene: First Results
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    Chapter 8 Localised Nonlinear Modes in the PT-Symmetric Double-Delta Well Gross-Pitaevskii Equation
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    Chapter 9 Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation
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    Chapter 10 The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space
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    Chapter 11 Bessel Sequences, Riesz-Like Bases and Operators in Triplets of Hilbert Spaces
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    Chapter 12 Geometric Aspects of Space-Time Reflection Symmetry in Quantum Mechanics
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    Chapter 13 Mathematical and Physical Meaning of the Crossings of Energy Levels in $${\mathscr {PT}}$$ PT -Symmetric Systems
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    Chapter 14 Non-unitary Evolution of Quantum Logics
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    Chapter 15 Non-Hermitian Hamiltonians in Quantum Physics
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    Chapter 16 Sublattice Signatures of Transitions in a $$\mathscr {PT}$$ PT -Symmetric Dimer Lattice
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    Chapter 17 Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas
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    Chapter 18 Some Features of Exceptional Points
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    Chapter 19 Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point
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    Chapter 20 Pseudo-Hermitian $$\beta $$ β -Ensembles with Complex Eigenvalues
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    Chapter 21 Green’s Function of a General PT-Symmetric Non-Hermitian Non-central Potential
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    Chapter 22 Non-Hermitian Quantum AnnealingNon-Hermitian quantum annealing and SuperradianceSuperradiance
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    Chapter 23 The Relationship Between Complex Quantum Hamiltonian Dynamics and Krein Space Quantization
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    Chapter 24 Non-Hermitian $$\mathcal{PT}$$ PT -Symmetric Relativistic Quantum Theory in an Intensive Magnetic Field
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    Chapter 25 Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions
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    Chapter 26 Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture
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