Non-Hermitian quantum mechanics / / Nimrod Moiseyev [[electronic resource]]

• Record Nr.: UNINA9910459986103321
• Autore: Moiseyev Nimrod <1947->
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2011
• ISBN: 1-107-21939-6; 1-282-99437-9; 9786612994371; 0-511-99212-2; 0-511-99315-3; 0-511-98933-4; 0-511-98755-2; 0-511-97618-6; 0-511-99114-2
• Descrizione fisica: 1 online resource (xiii, 394 pages) : digital, PDF file(s)
• Disciplina: 530.12
• Soggetti: Quantum theory - Mathematics; Hermitian structures; Resonance; Hermitian symmetric spaces
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 QM branches into two formalisms.
• Sommario/riassunto: 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.