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

Format:

Book

Contributor:

Bagarello, Fabio, editor.

Language:

English

Subjects (All):

Nonselfadjoint operators.

Spectral theory (Mathematics).

Quantum theory--Mathematics.

Quantum theory.

Hilbert space.

Physical Description:

1 online resource (434 p.)

Edition:

1st ed.

Place of Publication:

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

Language Note:

English

Summary:

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

Contents:

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.

Notes:

Includes index.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9781118855270

1118855272

9781118855300

1118855302

9781118855263

1118855264

OCLC:

902937157