TY  - BOOK
AU  - Moiseyev,Nimrod
TI  - Non-Hermitian quantum mechanics
SN  - 9780511976186 (ebook)
AV  - QC174.17.M35 M65 2011
U1  - 530.12 22
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Quantum theory
KW  - Mathematics
KW  - Hermitian structures
KW  - Resonance
KW  - Hermitian symmetric spaces
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511976186
ER  -