Supermathematics and its Applications in Statistical Physics: Grassmann Variables and the Method of Supersymmetry
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2016
2016 |
| Ausgabe: | 1st ed. 2016 |
| Schriftenreihe: | Lecture Notes in Physics
920 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVII, 374 p. 15 illus., 12 illus. in color) |
| ISBN: | 9783662491706 9783662491683 |
| ISSN: | 0075-8450 |
| DOI: | 10.1007/978-3-662-49170-6 |
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Datensatz im Suchindex
| _version_ | 1804176140134252544 |
|---|---|
| adam_text | SUPERMATHEMATICS AND ITS APPLICATIONS IN STATISTICAL PHYSICS
/ WEGNER, FRANZ
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I GRASSMANN VARIABLES AND APPLICATIONS
PART II SUPERMATHEMATICS
PART III SUPERSYMMETRY IN STATISTICAL PHYSICS
SUMMARY AND ADDITIONAL REMARKS
REFERENCES
SOLUTIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SUPERMATHEMATICS AND ITS APPLICATIONS IN STATISTICAL PHYSICS
/ WEGNER, FRANZ
: 2016
ABSTRACT / INHALTSTEXT
THIS TEXT PRESENTS THE MATHEMATICAL CONCEPTS OF GRASSMANN VARIABLES AND
THE METHOD OF SUPERSYMMETRY TO A BROAD AUDIENCE OF PHYSICISTS INTERESTED
IN APPLYING THESE TOOLS TO DISORDERED AND CRITICAL SYSTEMS, AS WELL AS
RELATED TOPICS IN STATISTICAL PHYSICS. BASED ON MANY COURSES AND
SEMINARS HELD BY THE AUTHOR, ONE OF THE PIONEERS IN THIS FIELD, THE
READER IS GIVEN A SYSTEMATIC AND TUTORIAL INTRODUCTION TO THE SUBJECT
MATTER. THE ALGEBRA AND ANALYSIS OF GRASSMANN VARIABLES IS PRESENTED IN
PART I. THE MATHEMATICS OF THESE VARIABLES IS APPLIED TO A RANDOM MATRIX
MODEL, PATH INTEGRALS FOR FERMIONS, DIMER MODELS AND THE ISING MODEL IN
TWO DIMENSIONS. SUPERMATHEMATICS - THE USE OF COMMUTING AND
ANTICOMMUTING VARIABLES ON AN EQUAL FOOTING - IS THE SUBJECT OF PART II.
THE PROPERTIES OF SUPERVECTORS AND SUPERMATRICES, WHICH CONTAIN BOTH
COMMUTING AND GRASSMANN COMPONENTS, ARE TREATED IN GREAT DETAIL,
INCLUDING THE DERIVATION OF INTEGRAL THEOREMS. IN PART III,
SUPERSYMMETRIC PHYSICAL MODELS ARE CONSIDERED. WHILE SUPERSYMMETRY WAS
FIRST INTRODUCED IN ELEMENTARY PARTICLE PHYSICS AS EXACT SYMMETRY
BETWEEN BOSONS AND FERMIONS, THE FORMAL INTRODUCTION OF ANTICOMMUTING
SPACETIME COMPONENTS, CAN BE EXTENDED TO PROBLEMS OF STATISTICAL
PHYSICS, AND, SINCE IT CONNECTS STATES WITH EQUAL ENERGIES, HAS ALSO
FOUND ITS WAY INTO QUANTUM MECHANICS. SEVERAL MODELS ARE CONSIDERED IN
THE APPLICATIONS, AFTER WHICH THE REPRESENTATION OF THE RANDOM MATRIX
MODEL BY THE NONLINEAR SIGMA-MODEL, THE DETERMINATION OF THE DENSITY OF
STATES AND THE LEVEL CORRELATION ARE DERIVED. EVENTUALLY, THE MOBILITY
EDGE BEHAVIOR IS DISCUSSED AND A SHORT ACCOUNT OF THE TEN SYMMETRY
CLASSES OF DISORDER, TWO-DIMENSIONAL DISORDERED MODELS, AND
SUPERBOSONIZATION IS GIVEN
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Wegner, Franz 1940- Verfasser (DE-588)128397381 aut Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry by Franz Wegner 1st ed. 2016 Berlin, Heidelberg Springer Berlin Heidelberg 2016 2016 1 Online-Ressource (XVII, 374 p. 15 illus., 12 illus. in color) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Physics 920 0075-8450 Physics Mathematical physics Statistical physics Dynamical systems Mathematical Methods in Physics Mathematical Physics Statistical Physics, Dynamical Systems and Complexity Mathematical Applications in the Physical Sciences Mathematische Physik Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Grassmann-Variable (DE-588)1103338048 gnd rswk-swf Statistische Physik (DE-588)4057000-9 s Grassmann-Variable (DE-588)1103338048 s Supersymmetrie (DE-588)4128574-8 s 1\p DE-604 Lecture Notes in Physics 920 (DE-604)BV013615055 920 https://doi.org/10.1007/978-3-662-49170-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919899&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919899&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wegner, Franz 1940- Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry Lecture Notes in Physics Physics Mathematical physics Statistical physics Dynamical systems Mathematical Methods in Physics Mathematical Physics Statistical Physics, Dynamical Systems and Complexity Mathematical Applications in the Physical Sciences Mathematische Physik Supersymmetrie (DE-588)4128574-8 gnd Statistische Physik (DE-588)4057000-9 gnd Grassmann-Variable (DE-588)1103338048 gnd |
| subject_GND | (DE-588)4128574-8 (DE-588)4057000-9 (DE-588)1103338048 |
| title | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry |
| title_auth | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry |
| title_exact_search | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry |
| title_full | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry by Franz Wegner |
| title_fullStr | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry by Franz Wegner |
| title_full_unstemmed | Supermathematics and its Applications in Statistical Physics Grassmann Variables and the Method of Supersymmetry by Franz Wegner |
| title_short | Supermathematics and its Applications in Statistical Physics |
| title_sort | supermathematics and its applications in statistical physics grassmann variables and the method of supersymmetry |
| title_sub | Grassmann Variables and the Method of Supersymmetry |
| topic | Physics Mathematical physics Statistical physics Dynamical systems Mathematical Methods in Physics Mathematical Physics Statistical Physics, Dynamical Systems and Complexity Mathematical Applications in the Physical Sciences Mathematische Physik Supersymmetrie (DE-588)4128574-8 gnd Statistische Physik (DE-588)4057000-9 gnd Grassmann-Variable (DE-588)1103338048 gnd |
| topic_facet | Physics Mathematical physics Statistical physics Dynamical systems Mathematical Methods in Physics Mathematical Physics Statistical Physics, Dynamical Systems and Complexity Mathematical Applications in the Physical Sciences Mathematische Physik Supersymmetrie Statistische Physik Grassmann-Variable |
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