Path integral formulation: Difference between revisions

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* {{cite journal |author-link=Cécile DeWitt-Morette |last=DeWitt-Morette |first=C. |title=Feynman's path integral: Definition without limiting procedure |journal=Communications in Mathematical Physics |volume=28 |issue=1 |year=1972 |pages=47–67 |mr=0309456 |doi=10.1007/BF02099371 |bibcode=1972CMaPh..28...47D |s2cid=119669964}}
* {{cite journal |last=Dirac |first=Paul A. M. |author-link=Paul Dirac |year=1933 |title=The Lagrangian in Quantum Mechanics |journal=Physikalische Zeitschrift der Sowjetunion |volume=3 |pages=64–72 |url=http://www.hep.anl.gov/czachos/soysoy/Dirac33.pdf}}
* {{cite journal |first1=İ. H. |last1=Duru |author-link1=İsmail Hakkı Duru |first2=Hagen |last2=Kleinert |author-link2=Hagen Kleinert |title=Solution of the path integral for the H-atom |year=1979 |journal=Physics Letters |volume=84B |issue=2 |pages=185–188 |url=http://www.physik.fu-berlin.de/~kleinert/kleiner_re65/65.pdf |access-date=2007-11-25 |bibcode=1979PhLB...84..185D |doi=10.1016/0370-2693(79)90280-6 |archive-date=2008-03-09 |archive-url=https://web.archive.org/web/20080309160840/http://www.physik.fu-berlin.de/~kleinert/kleiner_re65/65.pdf |url-status=dead }}
* {{cite web |last=Etingof |first=P. |author-link=Pavel Etingof |title=Geometry and Quantum Field Theory |publisher=MIT OpenCourseWare |year=2002 |url=http://ocw.mit.edu/courses/mathematics/18-238-geometry-and-quantum-field-theory-fall-2002/index.htm}} <small>This course, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.</small>
* {{cite book |last=Feynman |first=R. P. |author-link=Richard Feynman |editor-last=Brown |editor-first=L. M. |title=Feynman's Thesis — A New Approach to Quantum Theory |year=2005 |orig-year=1942/1948 |publisher=World Scientific |doi=10.1142/5852 |bibcode=2005ftna.book.....B |url=https://cds.cern.ch/record/910611 |isbn=978-981-256-366-8}} <small>The 1942 thesis. Also includes Dirac's 1933 paper and Feynman's 1948 publication.</small>
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* {{cite book |first1=Gerald W. |last1=Johnson |first2=Michel L. |last2= Lapidus |title=The Feynman Integral and Feynman's Operational Calculus |series=Oxford Mathematical Monographs |publisher=Oxford University Press |year=2002 |isbn=978-0-19-851572-2}}
* {{cite book |author-link=John R. Klauder |last=Klauder |first=John R. |title=A Modern Approach to Functional Integration |place=New York |publisher=Birkhäuser |year=2010 |isbn=978-0-8176-4790-2}}
* {{cite book |author-link=Hagen Kleinert |last=Kleinert |first=Hagen |year=2004 |title=Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets |edition=4th |place=Singapore |publisher=World Scientific |isbn=978-981-238-107-1 |url=http://www.physik.fu-berlin.de/~kleinert/b5 |archive-date=2008-06-15 |access-date=2005-02-16 |archive-url=https://web.archive.org/web/20080615134934/http://www.physik.fu-berlin.de/~kleinert/b5 |url-status=dead }}
* {{cite arXiv |last=MacKenzie |first=Richard |year=2000 |title=Path Integral Methods and Applications |eprint=quant-ph/0004090}}
* {{cite book |last= Mazzucchi |first= S. |title=Mathematical Feynman path integrals and their applications |publisher=World Scientific |year=2009 |isbn=978-981-283-690-8}}