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Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions hav...
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Lenguaje: | eng |
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World Scientific
2009
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Acceso en línea: | http://cds.cern.ch/record/1172612 |
_version_ | 1780916173234241536 |
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author | Kleinert, Hagen |
author_facet | Kleinert, Hagen |
author_sort | Kleinert, Hagen |
collection | CERN |
description | This is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have been made possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's time-sliced formula to include singular attractive 1/r- and 1/r2-potentials. The second is a new nonholonomic mapping principle carrying p |
id | cern-1172612 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2009 |
publisher | World Scientific |
record_format | invenio |
spelling | cern-11726122021-04-22T01:36:54Zhttp://cds.cern.ch/record/1172612engKleinert, HagenPath integrals in quantum mechanics, statistics, polymer physics, and financial marketsMathematical Physics and MathematicsThis is the fifth, expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have been made possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's time-sliced formula to include singular attractive 1/r- and 1/r2-potentials. The second is a new nonholonomic mapping principle carrying pWorld Scientificoai:cds.cern.ch:11726122009 |
spellingShingle | Mathematical Physics and Mathematics Kleinert, Hagen Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title | Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title_full | Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title_fullStr | Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title_full_unstemmed | Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title_short | Path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
title_sort | path integrals in quantum mechanics, statistics, polymer physics, and financial markets |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/1172612 |
work_keys_str_mv | AT kleinerthagen pathintegralsinquantummechanicsstatisticspolymerphysicsandfinancialmarkets |