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Moiseyev N. Non-Hermitian Quantum Mechanics

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Moiseyev N. Non-Hermitian Quantum Mechanics
Cambridge University Press, 2011. — 410 p. — ISBN 9780521889728.
Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena – perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.
The first book to present NHQM as an important alternative to the standard formalism of quantum mechanics.
Explores the use of NHQM in the study of resonance phenomena - perhaps one of the most striking events in nature.
Has applications in a variety of fields, including optics, quantum field theory, and atomic and molecular physics as well as electrical engineering.
Table of Contents
Different formulations of quantum mechanics
Resonance phenomena in nature
Resonances from Hermitian quantum mechanics calculations
Resonances from non-Hermitian quantum mechanics calculations
Square integrable resonance wavefunctions
Bi-orthogonal product (C-product)
The properties of the non-Hermitian Hamiltonian
Non-Hermitian scattering theory
The self-orthogonality phenomenon
The point where quantum mechanics branches into two formalisms
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