03592nam 2200733Ia 450 991082886710332120200520144314.01-107-21939-61-282-99437-997866129943710-511-99212-20-511-99315-30-511-98933-40-511-98755-20-511-97618-60-511-99114-2(CKB)2670000000069802(EBL)647432(OCoLC)701704316(SSID)ssj0000471728(PQKBManifestationID)11331975(PQKBTitleCode)TC0000471728(PQKBWorkID)10428258(PQKB)10861085(UkCbUP)CR9780511976186(MiAaPQ)EBC647432(Au-PeEL)EBL647432(CaPaEBR)ebr10447585(CaONFJC)MIL299437(PPN)261277995(EXLCZ)99267000000006980220100920d2011 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierNon-Hermitian quantum mechanics /Nimrod Moiseyev1st ed.Cambridge ;New York Cambridge University Press20111 online resource (xiii, 394 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-88972-3 Includes bibliographical references and index.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.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.Quantum theoryMathematicsHermitian structuresResonanceHermitian symmetric spacesQuantum theoryMathematics.Hermitian structures.Resonance.Hermitian symmetric spaces.530.12SCI057000bisacshMoiseyev Nimrod1947-1660538MiAaPQMiAaPQMiAaPQBOOK9910828867103321Non-Hermitian quantum mechanics4015839UNINA