Verfügbarkeit: Mathematical theory of Feynman path integrals

Mathematical theory of Feynman path integrals: an introduction

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Bibliographische Detailangaben
Beteiligte Personen:	Albeverio, Sergio 1939- (VerfasserIn), Høegh-Krohn, Raphael 1938-1988 (VerfasserIn), Mazzucchi, Sonia (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 2008
Ausgabe:	2. corr. and enl. ed.
Schriftenreihe:	Lecture notes in mathematics 523
Schlagwörter:	Intégrales de Feynman Feynman integrals Mathematik Pfadintegral Theorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016534969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	X, 175 S.
ISBN:	9783540769545 9783540769569

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 001z 2001 B 999-523(2)
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adam_text	Contents Preface to the Second Edition ................................. V Preface to the First Edition ................................... VII 1 Introduction ............................................... 1 2 The Fresnel Integral of Functions on a Separable Real Hubert Space .............................................. 9 3 The Feynman Path Integral in Potential Scattering ........ 19 4 The Fresnel Integral Relative to a Non-singular Quadratic Form ...................................................... 37 5 Feynman Path Integrals for the Anharmonic Oscillator .... 51 6 Expectations with Respect to the Ground State of the Harmonic Oscillator ................................. 63 7 Expectations with Respect to the Gibbs State of the Harmonic Oscillator ................................. 09 8 The Invariant Quasi-free States ............................ 73 9 The Feynman History Integral for the Relativistic Quantum Boson Field .................. 85 10 Some Recent Developments ................................ 93 10.1 The Infinite Dimensional Oscillatory Integral ................ 93 10.2 Feynman Path Integrals for Polynomially Growing Potentials ......................................101 10.3 The Stationary Phase Method and the Sranic lassfral Expansion ..............................................108 X Contents 10.4 Alternative Approaches to Rigorous Feynman Path Integrals ...........................................115 10.4.1 Analytic Continuation .............................115 10.4.2 White Noise Calculus Approach .....................116 10.4.3 The Sequential Approach ...........................120 10.4.4 The Approach via Poisson Processes .................123 10.5 Recent Applications .....................................124 10.5.1 The Schrödinger Equation with Magnetic Fields .......124 10.5.2 The Schrödinger Equation with Time Dependent Potentials ........................................125 10.5.3 Phase Space Feynman Path Integrals ................130 10.5.4 The Stochastic Schrödinger Equation ................133 10.5.5 The Chern-Simons Functional Integral ...............136 References of the First Edition ................................141 References Added for the Second Edition ......................149 Analytic Index ................................................173 List of Notations ..............................................177
any_adam_object	1
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isbn	9783540769545 9783540769569
language	English
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series	Lecture notes in mathematics
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spellingShingle	Albeverio, Sergio 1939- Høegh-Krohn, Raphael 1938-1988 Mazzucchi, Sonia Mathematical theory of Feynman path integrals an introduction Lecture notes in mathematics Intégrales de Feynman Feynman integrals Mathematik (DE-588)4037944-9 gnd Pfadintegral (DE-588)4173973-5 gnd Theorie (DE-588)4059787-8 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4173973-5 (DE-588)4059787-8
title	Mathematical theory of Feynman path integrals an introduction
title_auth	Mathematical theory of Feynman path integrals an introduction
title_exact_search	Mathematical theory of Feynman path integrals an introduction
title_full	Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi
title_fullStr	Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi
title_full_unstemmed	Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi
title_short	Mathematical theory of Feynman path integrals
title_sort	mathematical theory of feynman path integrals an introduction
title_sub	an introduction
topic	Intégrales de Feynman Feynman integrals Mathematik (DE-588)4037944-9 gnd Pfadintegral (DE-588)4173973-5 gnd Theorie (DE-588)4059787-8 gnd
topic_facet	Intégrales de Feynman Feynman integrals Mathematik Pfadintegral Theorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016534969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT albeveriosergio mathematicaltheoryoffeynmanpathintegralsanintroduction AT høeghkrohnraphael mathematicaltheoryoffeynmanpathintegralsanintroduction AT mazzucchisonia mathematicaltheoryoffeynmanpathintegralsanintroduction

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