عنوان
پدید آورنده
موضوع
رده
QC174.12 .K34 1990
QC174
.
12
.
K34
1990
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0080872743
(Number (ISBN
1281782939
(Number (ISBN
6611782931
(Number (ISBN
9780080872742
(Number (ISBN
9781281782939
(Number (ISBN
9786611782931
NATIONAL BIBLIOGRAPHY NUMBER
Number
b727250
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Quantum Physics, Relativity, and Complex Spacetime
General Material Designation
[Book]
Other Title Information
towards a new synthesis.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Burlington :
Name of Publisher, Distributor, etc.
Elsevier Science,
Date of Publication, Distribution, etc.
1990.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (377 p.).
SERIES
Series Title
North-Holland mathematics studies ;
Volume Designation
v.163
GENERAL NOTES
Text of Note
Description based upon print version of record.
CONTENTS NOTE
Text of Note
Front Cover; Quantum Physics, Relativity, and Complex Spacetime: Towards a New Synthesis; Copyright Page; Contents; Preface; Suggestions to the Reader; Chapter 1. Coherent-State Representations; 1.1. Preliminaries; 1.2. Canonical Coherent States; 1.3. Generalized Frames and Resolutions of Unity; 1.4. Reproducing-Kernel Hilbert Spaces; 1.5. Windowed Fourier Transforms; 1.6. Wavelet Transforms; Chapter 2. Wavelet Algebras and Complex Structures; 2.1. Introduction; 2.2. Operational Calculus; 2.3. Complex Structure; 2.4. Complex Decomposition and Reconstruction; 2.5. Appendix
Text of Note
5.4. Free Klein-Gordon Fields5.5. Free Dirac Fields; 5.6. Interpolating Particle Coherent States; 5.7. Field Coherent States and Functional Integrals; Notes; Chapter 6. Further Developments; 6.1. Holomorphic Gauge Theory; 6.2. Windowed X-Ray Transforms: Wavelets Revisited; References; Index
Text of Note
Chapter 3. Frames and Lie Groups3.1. Introduction; 3.2. Klauder's Group-Frames; 3.3. Perelomov's Homogeneous G-Frames; 3.4. Onofri's Holomorphic G-Frames; 3.5. The Rotation Group; 3.6. The Harmonic Oscillator as a Contraction Limit; Chapter 4. Complex Spacetime; 4.1. Introduction; 4.2. Relativity, Phase Space and Quantization; 4.3. Galilean Frames; 4.4. Relativistic Frames; 4.5. Geometry and Probability; 4.6. The Non-Relativistic Limit; Notes; Chapter 5. Quantized Fields; 5.1. Introduction; 5.2. The Multivariate Analytic-Signal Transform; 5.3. Axiomatic Field Theory and Particle Phase Spaces
0
8
8
SUMMARY OR ABSTRACT
Text of Note
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
0-444-88465-3
PARALLEL TITLE PROPER
Parallel Title
North-Holland Mathematics Studies Vol. 163
ABBREVIATED TITLE
Abbreviated Title
NORTH-HOLLAND MATHEMATICS STUDIES, VOLUME 163
Abbreviated Title
QUANTUM PHYSICS, RELATIVITY, AND COMPLEX SPACETIME
TOPICAL NAME USED AS SUBJECT
Mathematical physics.
Quantum theory.
Relativity (Physics)
Space and time.
Mathematical physics.
Quantum theory.
Relativity (Physics).
Space and time.
Atomic Physics.
Mathematical physics.
Physical Sciences & Mathematics.
Physics.
Quantum theory.
Relativity (Physics)
Space and time.
DEWEY DECIMAL CLASSIFICATION
Number
530
.
12
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC174
.
12
.
K34
1990
Class number
QC174
.
12
.
K
PERSONAL NAME - PRIMARY RESPONSIBILITY
Kaiser, G.
ORIGINATING SOURCE
Date of Transaction
20201213234515.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
