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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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Autor principal: Kleinert, Hagen
Lenguaje:eng
Publicado: World Scientific 2009
Materias:
Acceso en línea:http://cds.cern.ch/record/1172612
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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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2009
publisher World Scientific
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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