Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

W. -H. Steeb

ISBN 10: 9401062412 / ISBN 13: 9789401062411

Published by Springer Netherlands, Springer Netherlands, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - This book provides an introduction to Hilbert space theory, Fourier transform and wavelets, linear operators, generalized functions and quantum mechanics. Although quantum mechanics has been developed between 1925 and 1930 in the last twenty years a large number of new aspect and techniques have been introduced. The book also covers these new fields in quantum mechanics. In quantum mechanics the basic mathematical tools are the theory of Hilbert spaces, the theory of linear operators, the theory of generalized functions and Lebesgue inte gration theory. Many excellent textbooks have been written on Hilbert space theory and linear operators in Hilbert spaces. Comprehensive surveys of this subject are given by Weidmann [68], Prugovecki [47], Yosida [69], Kato [31], Richtmyer [49], Sewell [54] and others. The theory of generalized functions is also well covered in good textbooks (Gelfand and Shilov [25], Vladimirov [67]. Furthermore numerous textbooks on quantum mechanics exist (Dirac [17], Landau and Lifshitz [36], Mes siah [41], Gasiorowicz [24], Schiff [51], Eder [18] and others). Besides these books there are several problem books on quantum mechanics (Fliigge [22], Constantinescu and Magyari [15], ter Haar [64], Mavromatis [39], Steeb [59], Steeb [60], Steeb [61]) and others). Computer algebra implementations of quantum mechanical problems are described by Steeb [59]. Unfortunately, many standard textbooks on quantum mechanics neglect the math ematical background. The basic mathematical tools to understand quantum me chanics should be fully integrated into an education in quantum mechanics.

Seller Inventory # 9789401062411

Bibliographic Details

• Title: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
• Publisher: Springer Netherlands, Springer Netherlands
• Publication Date: 2012
• Language: English
• ISBN 10: 9401062412
• ISBN 13: 9789401062411
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics.
Audience: The book is suitable for graduate students in physics and mathematics.