Non-Hermitian Hamiltonians in Quantum Physics

Chapter 1 Real Discrete Spectrum of Complex PT-Symmetric Scattering Potentials

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

Chapter 3 PT Symmetric Classical and Quantum Cosmology

Chapter 4 Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that

Chapter 5 Generalized Jaynes-Cummings Model with a Pseudo-Hermitian: A Path Integral Approach

Chapter 6 Exceptional Points in a Non-Hermitian Extension of the Jaynes-Cummings Hamiltonian

Chapter 7 $$\mathscr {D}{-}$$ D - Deformed and SUSY-Deformed Graphene: First Results

Chapter 8 Localised Nonlinear Modes in the PT-Symmetric Double-Delta Well Gross-Pitaevskii Equation

Chapter 9 Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation

Chapter 10 The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space

Chapter 11 Bessel Sequences, Riesz-Like Bases and Operators in Triplets of Hilbert Spaces

Chapter 12 Geometric Aspects of Space-Time Reflection Symmetry in Quantum Mechanics

Chapter 13 Mathematical and Physical Meaning of the Crossings of Energy Levels in $${\mathscr {PT}}$$ PT -Symmetric Systems

Chapter 15 Non-Hermitian Hamiltonians in Quantum Physics

Chapter 16 Sublattice Signatures of Transitions in a $$\mathscr {PT}$$ PT -Symmetric Dimer Lattice

Chapter 17 Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas

Chapter 18 Some Features of Exceptional Points

Chapter 19 Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point

Chapter 20 Pseudo-Hermitian $$\beta $$ β -Ensembles with Complex Eigenvalues

Chapter 21 Green’s Function of a General PT-Symmetric Non-Hermitian Non-central Potential

Chapter 22 Non-Hermitian Quantum AnnealingNon-Hermitian quantum annealing and SuperradianceSuperradiance

Chapter 23 The Relationship Between Complex Quantum Hamiltonian Dynamics and Krein Space Quantization

Chapter 24 Non-Hermitian $$\mathcal{PT}$$ PT -Symmetric Relativistic Quantum Theory in an Intensive Magnetic Field

Chapter 25 Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions

Chapter 26 Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture