03250nam 2200673 450 991013149340332120200520144314.01-118-85527-21-118-85530-21-118-85526-4(CKB)3710000000451359(EBL)1895664(SSID)ssj0001517618(PQKBManifestationID)12566808(PQKBTitleCode)TC0001517618(PQKBWorkID)11505763(PQKB)11484409(PQKBManifestationID)16043566(PQKB)23265501(MiAaPQ)EBC1895664(DLC) 2015005037(Au-PeEL)EBL1895664(CaPaEBR)ebr11081236(CaONFJC)MIL816307(OCoLC)902937157(PPN)191454966(EXLCZ)99371000000045135920150804h20152015 uy 0engur|n|---|||||txtccrNon-selfadjoint operators in quantum physics mathematical aspects /editors Fabio Bagarello [and three others]Hoboken, New Jersey :John Wiley & Sons,2015.©20151 online resource (434 p.)Includes index.1-118-85528-0 Includes bibliographical references and index.Ideas and trends / Miloslav Znojil -- Operators of the quantum harmonic oscillator and its relatives / Franciszek Hugon Szafraniec -- Deformed canonical (anti) commutation relations and non selfadjoint Hamiltonians / Fabio Bagarello -- Reality of the spectrum and existence of PT-symmetric phase transitions / Emanuela Caliceti and Sandro Graffi -- Elements of spectral theory without the spectral theorem / David Krejčiřík and Petr Siegl -- PT-symmetric operators in quantum mechanics: Krein spaces methods / Sergio Albeverio and Sergii Kuzhel -- Metric operators, generalized hermiticity and lattices of Hilbert spaces / Jean-Pierre Antoine and Camillo Trapani. Preface xvii Acronyms xix Glossary xxi Symbols xxiii Introduction 1F. Bagarello, J.P. Gazeau, F. Szafraniec, and M. ZnojilReferences, 5 1 Non-Self-Adjoint Operators in Quantum Physics: Ideas, People, and Trends 7Miloslav Znojil 1.1 The Challenge of Non-Hermiticity in Quantum Physics 7 1.1.1 A Few Quantum Physics' Anniversaries, for Introduction 7 1.1.2 Dozen Years of Conferences Dedicated to Pseudo-Hermiticity 10 1.2 A Periodization of the Recent History of Study of Non-Self-Adjoint Operators in Quantum Physics 11 1.2.1 The Years of Crises 11 1.2.2 The Periods of Growth Nonselfadjoint operatorsSpectral theory (Mathematics)Quantum theoryMathematicsHilbert spaceNonselfadjoint operators.Spectral theory (Mathematics)Quantum theoryMathematics.Hilbert space.530.1201/515724Bagarello FabioMiAaPQMiAaPQMiAaPQBOOK9910131493403321Non-selfadjoint operators in quantum physics2214625UNINA