Geometric analysis on the Heisenberg group and its generalizations

The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior o...

Descripción completa

Detalles Bibliográficos
Autores principales: Calin, Ovidiu, Chang, Der-Chen, Greiner, Peter
Lenguaje:eng
Publicado: A.M.S. 2007
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1212953
_version_ 1780918047747342336
author Calin, Ovidiu
Chang, Der-Chen
Greiner, Peter
author_facet Calin, Ovidiu
Chang, Der-Chen
Greiner, Peter
author_sort Calin, Ovidiu
collection CERN
description The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.
id cern-1212953
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher A.M.S.
record_format invenio
spelling cern-12129532021-04-22T01:32:18Zhttp://cds.cern.ch/record/1212953engCalin, OvidiuChang, Der-ChenGreiner, PeterGeometric analysis on the Heisenberg group and its generalizationsMathematical Physics and MathematicsThe theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.A.M.S.oai:cds.cern.ch:12129532007
spellingShingle Mathematical Physics and Mathematics
Calin, Ovidiu
Chang, Der-Chen
Greiner, Peter
Geometric analysis on the Heisenberg group and its generalizations
title Geometric analysis on the Heisenberg group and its generalizations
title_full Geometric analysis on the Heisenberg group and its generalizations
title_fullStr Geometric analysis on the Heisenberg group and its generalizations
title_full_unstemmed Geometric analysis on the Heisenberg group and its generalizations
title_short Geometric analysis on the Heisenberg group and its generalizations
title_sort geometric analysis on the heisenberg group and its generalizations
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1212953
work_keys_str_mv AT calinovidiu geometricanalysisontheheisenberggroupanditsgeneralizations
AT changderchen geometricanalysisontheheisenberggroupanditsgeneralizations
AT greinerpeter geometricanalysisontheheisenberggroupanditsgeneralizations

Ejemplares similares