Non-Hermitian quantum mechanics

by Moiseyev, Nimrod

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Title Statements

Full title :Non-Hermitian quantum mechanics / Nimrod Moiseyev.

Summary

"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 will be 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"--

Edition Statements

Publication Date:2011.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2011.

The Physical Object

Description:xiii, 394 p. : : il. ; : 26 cm

Edition Identifiers

ISBN:9780521889728, 0521889723
oclc:ocn892195801

Sumari: 1. Different formulations of quantum mechanics; 2. Resonance phenomena in nature; 3. Resonances from Hermitian quantum mechanics calculations; 4. Resonances from non-Hermitian quantum mechanics calculations; 5. Square integrable resonance wavefunctions; 6. Bi-orthogonal product (C-product); 7. The properties of the non-Hermitian Hamiltonian; 8. Non-Hermitian scattering theory; 9. The self-orthogonality phenomenon; 10. The point where quantum mechanics branches into two formalisms; Index.