The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A
standard axiom of quantum mechanics requires that H be Hermitian because Hermiticity …

A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define
a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We …

" This is the first book devoted to the theory of p-adic wavelets and pseudo-differential
equations in the framework of distribution theory. This relatively recent theory has become …

This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

The complex-symmetric nonlinear wave models have drawn much attention in recent years
since the complex-symmetric extensions of the Korteweg–de Vries (KdV) equation were …

We study a non-Hermitian symmetric generalization of an N-particle, two-mode Bose–
Hubbard system, modeling for example a Bose–Einstein condensate in a double well …

Recent decades have seen enormous progress in the experimental investigation of
fundamental processes that are relevant to geophysical and astrophysical fluid dynamics …

For many quantum models an apparent non-Hermiticity of observables just corresponds to
their hidden Hermiticity in another, physical Hilbert space. For these models we show that …

Abstract In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv: 0809.2874] the
two-Hilbert-space (2HS, aka cryptohermitian) formulation of Quantum Mechanics has been …

We discuss fluctuations near the second-order phase transition where the free energy has
an additional non-Hermitian term. The spectrum of the fluctuations changes when the odd …