Hilbert Spaces Wavelets Generalised Functions And Modern Quantum Mechanics
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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
Author: W.-H. Steeb
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-07
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.
Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
Author: W.-H. Steeb
language: en
Publisher: Springer Science & Business Media
Release Date: 1998-09-30
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. The book is suitable for graduate students in physics and mathematics.
Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Author: Elemer E. Rosinger
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions. The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings. Thus, they cannot be subsemigroups of Lie groups. Audience: This volume is addressed to graduate students and researchers involved in solving linear and nonlinear partial differential equations, and in particular, in dealing with the Lie group symmetries of their classical or generalised solutions.