1.

Record Nr.

UNINA9910827736503321

Titolo

Non-selfadjoint operators in quantum physics : mathematical aspects / / editors Fabio Bagarello [and three others]

Pubbl/distr/stampa

Hoboken, New Jersey : , : John Wiley & Sons, , 2015

©2015

ISBN

1-118-85527-2

1-118-85530-2

1-118-85526-4

Descrizione fisica

1 online resource (434 p.)

Disciplina

530.1201/515724

Soggetti

Nonselfadjoint operators

Spectral theory (Mathematics)

Quantum theory - Mathematics

Hilbert space

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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