000 | 03397nam a22004935i 4500 | ||
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001 | 978-3-540-38250-8 | ||
003 | DE-He213 | ||
005 | 20190213151147.0 | ||
007 | cr nn 008mamaa | ||
008 | 100730s1976 gw | s |||| 0|eng d | ||
020 |
_a9783540382508 _9978-3-540-38250-8 |
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024 | 7 |
_a10.1007/BFb0079827 _2doi |
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_aPBKF _2thema |
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_a515.7 _223 |
100 | 1 |
_aAlbeverio, Sergio A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aMathematical Theory of Feynman Path Integrals _h[electronic resource] / _cby Sergio A. Albeverio, Raphael J. Høegh-Krohn. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1976. |
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300 |
_aX, 186 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v523 |
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505 | 0 | _aThe fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field. | |
520 | _aFeynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information. | ||
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
700 | 1 |
_aHøegh-Krohn, Raphael J. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662177631 |
776 | 0 | 8 |
_iPrinted edition: _z9783540077855 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v523 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0079827 |
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