Lectures on the Mathematics of Quantum Mechanics I:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Paris]
Atlantis Press
2015
|
| Series: | Atlantis Studies in Mathematical Physics
1 |
| Subjects: | |
| Online Access: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XXI, 459 p) |
| ISBN: | 9789462391185 |
| DOI: | 10.2991/978-94-6239-118-5 |
Staff View
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Record in the Search Index
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| adam_text | LECTURES ON THE MATHEMATICS OF QUANTUM MECHANICS I
/ DELL ANTONIO, GIANFAUSTO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
ELEMENTS OF THE HISTORY OF QUANTUM MECHANICS I
ELEMENTS OF THE HISTORY OF QUANTUM MECHANICS II
AXIOMS, STATES, OBSERVABLES, MEASUREMENT, DIffiCULTIES
ENTANGLEMENT, DECOHERENCE, BELL’S INEQUALITIES, ALTERNATIVE THEORIES
AUTOMORPHISMS; QUANTUM DYNAMICS; THEOREMS OF WIGNER, KADISON, SEGAL;
CONTINUITY AND GENERATORS
OPERATORS ON HILBERT SPACES I; BASIC ELEMENTS
QUADRATIC FORMS
PROPERTIES OF FREE MOTION, ANHOLONOMY, GEOMETRIC PHASE
ELEMENTS OF C ∗-ALGEBRAS, GNS REPRESENTATION, AUTOMORPHISMS AND
DYNAMICAL SYSTEMS
DERIVATIONS AND GENERATORS. K.M.S. CONDITION. ELEMENTS OF MODULAR
STRUCTURE. STANDARD FORM
SEMIGROUPS AND DISSIPATIONS. MARKOV APPROXIMATION
QUANTUM DYNAMICAL SEMIGROUPS I
POSITIVITY PRESERVING CONTRACTION SEMIGROUPS ON C ∗-ALGEBRAS
CONDITIONAL EXPECTATIONS
COMPLETE DISSIPATIONS
WEYL SYSTEM, WEYL ALGEBRA, LIFTING SYMPLECTIC MAPS
MAGNETIC WEYL ALGEBRA
A THEOREM OF SEGAL
REPRESENTATIONS OF BARGMANN, SEGAL, FOCK
SECOND QUANTIZATION
OTHER QUANTIZATIONS (DEFORMATION, GEOMETRIC)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LECTURES ON THE MATHEMATICS OF QUANTUM MECHANICS I
/ DELL ANTONIO, GIANFAUSTO
: 2015
ABSTRACT / INHALTSTEXT
THE FIRST VOLUME (GENERAL THEORY) DIFFERS FROM MOST TEXTBOOKS AS IT
EMPHASIZES THE MATHEMATICAL STRUCTURE AND MATHEMATICAL RIGOR, WHILE
BEING ADAPTED TO THE TEACHING THE FIRST SEMESTER OF AN ADVANCED COURSE
IN QUANTUM MECHANICS (THE CONTENT OF THE BOOK ARE THE LECTURES OF
COURSES ACTUALLY DELIVERED.). IT DIFFERS ALSO FROM THE VERY FEW TEXTS IN
QUANTUM MECHANICS THAT GIVE EMPHASIS TO THE MATHEMATICAL ASPECTS BECAUSE
THIS BOOK, BEING WRITTEN AS LECTURE NOTES, HAS THE STRUCTURE OF LECTURES
DELIVERED IN A COURSE, NAMELY INTRODUCTION OF THE PROBLEM, OUTLINE OF
THE RELEVANT POINTS, MATHEMATICAL TOOLS NEEDED, THEOREMS, PROOFS. THIS
MAKES THIS BOOK PARTICULARLY USEFUL FOR SELF-STUDY AND FOR INSTRUCTORS
IN THE PREPARATION OF A SECOND COURSE IN QUANTUM MECHANICS (AFTER A
FIRST BASIC COURSE). WITH SOME MINOR ADDITIONS IT CAN BE USED ALSO AS A
BASIS OF A FIRST COURSE IN QUANTUM MECHANICS FOR STUDENTS IN MATHEMATICS
CURRICULA. THE SECOND PART (SELECTED TOPICS) ARE LECTURE NOTES OF A MORE
ADVANCED COURSE AIMED AT GIVING THE BASIC NOTIONS NECESSARY TO DO
RESEARCH IN SEVERAL AREAS OF MATHEMATICAL PHYSICS CONNECTED WITH QUANTUM
MECHANICS, FROM SOLID STATE TO SINGULAR INTERACTIONS, MANY BODY THEORY,
SEMI-CLASSICAL ANALYSIS, QUANTUM STATISTICAL MECHANICS. THE STRUCTURE OF
THIS BOOK IS SUITABLE FOR A SECOND-SEMESTER COURSE, IN WHICH THE
LECTURES ARE MEANT TO PROVIDE, IN ADDITION TO THEOREMS AND PROOFS, AN
OVERVIEW OF A MORE SPECIFIC SUBJECT AND HINTS TO THE DIRECTION OF
RESEARCH. IN THIS RESPECT AND FOR THE WIDTH OF SUBJECTS THIS SECOND
VOLUME DIFFERS FROM OTHER MONOGRAPHS ON QUANTUM MECHANICS. THE SECOND
VOLUME CAN BE USEFUL FOR STUDENTS WHO WANT TO HAVE A BASIC PREPARATION
FOR DOING RESEARCH AND FOR INSTRUCTORS WHO MAY WANT TO USE IT AS A BASIS
FOR THE PRESENTATION OF SELECTED TOPICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dell'Antonio, Gianfausto 1933- |
| author_GND | (DE-588)109012445 |
| author_facet | Dell'Antonio, Gianfausto 1933- |
| author_role | aut |
| author_sort | Dell'Antonio, Gianfausto 1933- |
| author_variant | g d gd |
| building | Verbundindex |
| bvnumber | BV042592616 |
| classification_rvk | UK 1020 UK 1200 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA |
| ctrlnum | (OCoLC)910754770 (DE-599)BVBBV042592616 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.2991/978-94-6239-118-5 |
| format | Electronic eBook |
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| language | English |
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| publisher | Atlantis Press |
| record_format | marc |
| series | Atlantis Studies in Mathematical Physics |
| series2 | Atlantis Studies in Mathematical Physics |
| spelling | Dell'Antonio, Gianfausto 1933- Verfasser (DE-588)109012445 aut Lectures on the Mathematics of Quantum Mechanics I Gianfausto Dell'Antonio [Paris] Atlantis Press 2015 [Berlin ; Heidelberg] [Springer] 1 Online-Ressource (XXI, 459 p) txt rdacontent c rdamedia cr rdacarrier Atlantis Studies in Mathematical Physics 1 Physics Quantum theory Mechanics Quantum Physics Mathematical Physics Quantentheorie Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantenphysik (DE-588)4266670-3 s DE-604 Erscheint auch als Druckausgabe 978-94-6239-117-8 Atlantis Studies in Mathematical Physics 1 (DE-604)BV042601066 1 https://doi.org/10.2991/978-94-6239-118-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025828&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=028025828&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Dell'Antonio, Gianfausto 1933- Lectures on the Mathematics of Quantum Mechanics I Atlantis Studies in Mathematical Physics Physics Quantum theory Mechanics Quantum Physics Mathematical Physics Quantentheorie Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4266670-3 |
| title | Lectures on the Mathematics of Quantum Mechanics I |
| title_auth | Lectures on the Mathematics of Quantum Mechanics I |
| title_exact_search | Lectures on the Mathematics of Quantum Mechanics I |
| title_full | Lectures on the Mathematics of Quantum Mechanics I Gianfausto Dell'Antonio |
| title_fullStr | Lectures on the Mathematics of Quantum Mechanics I Gianfausto Dell'Antonio |
| title_full_unstemmed | Lectures on the Mathematics of Quantum Mechanics I Gianfausto Dell'Antonio |
| title_short | Lectures on the Mathematics of Quantum Mechanics I |
| title_sort | lectures on the mathematics of quantum mechanics i |
| topic | Physics Quantum theory Mechanics Quantum Physics Mathematical Physics Quantentheorie Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Physics Quantum theory Mechanics Quantum Physics Mathematical Physics Quantentheorie Quantenphysik |
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