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Teoria działania symetrii w mechanice kwantowej : z zastosowaniem do ...

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Theory of Symmetry Actions in Quantum Mechanics : With an Application to the ...
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Parametry przedmiotu

Stan
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Book Title
Theory of Symmetry Actions in Quantum Mechanics : With an Applica
ISBN
9783540228028
Publication Year
2004
Series
Lecture Notes in Physics Ser.
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group
Author
Alberto Levrero, Pekka J. Lahti, Gianni Cassinelli, Ernesto De Vito
Item Length
9.3in
Publisher
Springer Berlin / Heidelberg
Item Width
6.1in
Item Weight
12.8 Oz
Number of Pages
Xii, 111 Pages

O tym produkcie

Product Information

This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540228020
ISBN-13
9783540228028
eBay Product ID (ePID)
43541089

Product Key Features

Author
Alberto Levrero, Pekka J. Lahti, Gianni Cassinelli, Ernesto De Vito
Publication Name
Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group
Format
Hardcover
Language
English
Publication Year
2004
Series
Lecture Notes in Physics Ser.
Type
Textbook
Number of Pages
Xii, 111 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
12.8 Oz

Additional Product Features

Series Volume Number
654
Number of Volumes
1 Vol.
Lc Classification Number
Qc19.2-20.85
Reviews
From the reviews: "This slim and carefully written book is devoted to projective representations of continuous groups targeted to the fundamental symmetry group of nonrelativistic quantum mechanics 'e" the Galilei group. 'e¦ The presentation is self-contained and is supplied with necessary background material 'e¦ and the list of relevant references." (Alexandr S. Holevo, Zentralblatt MATH, Vol. 1077, 2006) "The book is devoted to the study of symmetries in quantum mechanics. 'e¦ The book ends with an appendix which collects the necessary mathematical definitions, facts, and theorems needed in the book. In my opinion, the presentation of the material is of the highest quality. Clarity and mathematical rigor make the understanding easy and they make the reading joyful. The book is very much recommended for graduate students and/or researchers of either physics or mathematics interested in the theory of quantum mechanics." (L. Molnár, Publicationes Mathematicae Debrecen, Vol. 68 (1-2), 2006), From the reviews: "This slim and carefully written book is devoted to projective representations of continuous groups targeted to the fundamental symmetry group of nonrelativistic quantum mechanics the Galilei group. … The presentation is self-contained and is supplied with necessary background material … and the list of relevant references." (Alexandr S. Holevo, Zentralblatt MATH, Vol. 1077, 2006) "The book is devoted to the study of symmetries in quantum mechanics. … The book ends with an appendix which collects the necessary mathematical definitions, facts, and theorems needed in the book. In my opinion, the presentation of the material is of the highest quality. Clarity and mathematical rigor make the understanding easy and they make the reading joyful. The book is very much recommended for graduate students and/or researchers of either physics or mathematics interested in the theory of quantum mechanics." (L. Molnár, Publicationes Mathematicae Debrecen, Vol. 68 (1-2), 2006), From the reviews: "This slim and carefully written book is devoted to projective representations of continuous groups targeted to the fundamental symmetry group of nonrelativistic quantum mechanics - the Galilei group. ... The presentation is self-contained and is supplied with necessary background material ... and the list of relevant references." (Alexandr S. Holevo, Zentralblatt MATH, Vol. 1077, 2006) "The book is devoted to the study of symmetries in quantum mechanics. ... The book ends with an appendix which collects the necessary mathematical definitions, facts, and theorems needed in the book. In my opinion, the presentation of the material is of the highest quality. Clarity and mathematical rigor make the understanding easy and they make the reading joyful. The book is very much recommended for graduate students and/or researchers of either physics or mathematics interested in the theory of quantum mechanics." (L. Molnár, Publicationes Mathematicae Debrecen, Vol. 68 (1-2), 2006), From the reviews: "This slim and carefully written book is devoted to projective representations of continuous groups targeted to the fundamental symmetry group of nonrelativistic quantum mechanics - the Galilei group. ... The presentation is self-contained and is supplied with necessary background material ... and the list of relevant references." (Alexandr S. Holevo, Zentralblatt MATH, Vol. 1077, 2006) "The book is devoted to the study of symmetries in quantum mechanics. ... The book ends with an appendix which collects the necessary mathematical definitions, facts, and theorems needed in the book. In my opinion, the presentation of the material is of the highest quality. Clarity and mathematical rigor make the understanding easy and they make the reading joyful. The book is very much recommended for graduate students and/or researchers of either physics or mathematics interested in the theory of quantum mechanics." (L. Molnr, Publicationes Mathematicae Debrecen, Vol. 68 (1-2), 2006), From the reviews:"This slim and carefully written book is devoted to projective representations of continuous groups targeted to the fundamental symmetry group of nonrelativistic quantum mechanics the Galilei group. … The presentation is self-contained and is supplied with necessary background material … and the list of relevant references." (Alexandr S. Holevo, Zentralblatt MATH, Vol. 1077, 2006)"The book is devoted to the study of symmetries in quantum mechanics. … The book ends with an appendix which collects the necessary mathematical definitions, facts, and theorems needed in the book. In my opinion, the presentation of the material is of the highest quality. Clarity and mathematical rigor make the understanding easy and they make the reading joyful. The book is very much recommended for graduate students and/or researchers of either physics or mathematics interested in the theory of quantum mechanics." (L. Molnár, Publicationes Mathematicae Debrecen, Vol. 68 (1-2), 2006)
Table of Content
A Synopsis of Quantum Mechanics.- The Automorphism Group of Quantum Mechanics.- The Symmetry Actions and Their Representations.- The Galilei Groups.- Galilei Invariant Elementary Particles.- Galilei Invariant Wave Equations.
Copyright Date
2004
Topic
Group Theory, Physics / Quantum Theory, Physics / Mathematical & Computational, Physics / General
Lccn
2004-110193
Dewey Decimal
530.12
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Science, Mathematics

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