فرمولبندی انتگرال مسیر: تفاوت میان نسخهها
محتوای حذفشده محتوای افزودهشده
ویرایش، میانویکی، افزودن منبع، رده |
بدون خلاصۀ ویرایش |
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خط ۱۳۷:
==منابع==
{{چپچین}}
* Feynman, R. P., and Hibbs, A. R., ''Quantum Mechanics and Path Integrals'', New York: McGraw-Hill, 1965 [ISBN 0-07-020650-3]. The historical reference, written by the inventor of the path integral formulation himself and one of his students.
* [[Hagen Kleinert]], ''Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets'', 4th edition, World Scientific (Singapore, 2004); Paperback ISBN 981-238-107-4 '' (also available online: [http://www.physik.fu-berlin.de/~kleinert/b5 PDF-files])''
* Zinn Justin, Jean ; ''Path Integrals in Quantum Mechanics'', Oxford University Press (2004), [ISBN 0-19-856674-3]. A highly readable introduction to the subject.
* Schulman, Larry S. ; ''Techniques & Applications of Path Integration'', John Wiley & Sons (New York-1981) [ISBN]. A modern reference on the subject.
* [[Ishfaq Ahmad|Ahmad, Ishfaq]], ; ''Mathematical Integrals in Quantum Nature'', The Nucleus (1971), pp 189–209, [ISBN]
* Grosche, Christian & Steiner, Frank ; ''Handbook of Feynman Path Integrals'', Springer Tracts in Modern Physics 145, Springer-Verlag (1998) [ISBN 3-540-57135-3]
* Ryder, Lewis H. ; ''Quantum Field Theory '' (Cambridge University Press, 1985), [ISBN 0-521-33859-X] Highly readable textbook; introduction to relativistic Q.F.T. for particle physics.
* Rivers, R.J. ; ''Path Integrals Methods in Quantum Field Theory'', Cambridge University Press (1987) [ISBN 0-521-25979-7]
* Albeverio, S. & Hoegh-Krohn. R. ; ''Mathematical Theory of Feynman Path Integral'', Lecture Notes in Mathematics 523, Springer-Verlag (1976) [ISBN].
* Glimm, James, and Jaffe, Arthur, ''Quantum Physics: A Functional Integral Point of View'', New York: Springer-Verlag, 1981. [ISBN 0-387-90562-6].
* Gerald W. Johnson and Michel L. Lapidus ; ''The Feynman Integral and Feynman's Operational Calculus'', Oxford Mathematical Monographs, Oxford University Press (2002) [ISBN 0-19-851572-3].
* Etingof, Pavel ; [http://ocw.mit.edu/courses/mathematics/18-238-geometry-and-quantum-field-theory-fall-2002/index.htm ''Geometry and Quantum Field Theory''], M.I.T. OpenCourseWare (2002). This course, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.
*{{Cite book |last=Zee |first=Anthony |authorlink=Anthony Zee |title=Quantum Field Theory in a Nutshell |edition=Second |date= |publisher=Princeton University Press |location= |isbn=978-0-691-14034-6 }} A great introduction to Path Integrals (Chapter 1) and QFT in general.
*{{cite arxiv|last=Grosche |first=Christian |title=An Introduction into the Feynman Path Integral |work=Lecture given at the graduate college {{lang|de|‘Quantenfeldtheorie und deren Anwendung in der Elementarteilchen- und Festkörperphysik’}}, Universität Leipzig, 16–26 November 1992 |year=1992 |eprint=hep-th/9302097 }}
*{{cite arxiv|last=MacKenzie |first=Richard |year=2000 |title=Path Integral Methods and Applications |work=Lectures given at Rencontres du Vietnam: VIth Vietnam School of Physics, Vung Tau, Vietnam, 27 December 1999 – 8 January 2000 |eprint=quant-ph/0004090 }}
*{{cite journal |authorlink=Cécile DeWitt-Morette |last=DeWitt-Morette |first=Cécile |title=Feynman's path integral: Definition without limiting procedure |journal=Communication in Mathematical Physics |volume=28 |issue=1 |year=1972 |pages=47–67 |mr=0309456 |doi=10.1007/BF02099371 |bibcode = 1972CMaPh..28...47D }}
*{{cite journal |first=Sukanya |last=Sinha |first2=Rafael D. |last2=Sorkin |title=A Sum-over-histories Account of an EPR(B) Experiment |journal=Found. Of Phys. Lett. |volume=4 |issue=4 |pages=303–335 |year=1991 |doi=10.1007/BF00665892 |url=http://physics.syr.edu/~sorkin/some.papers/63.eprb.ps |bibcode = 1991FoPhL...4..303S }}
*{{cite journal |authorlink=Pierre Cartier (mathematician) |last=Cartier |first=Pierre |last2=DeWitt-Morette |first2=Cécile |title=A new perspective on Functional Integration |journal=Journal of Mathematical Physics |volume=36 |year=1995 |issue=5 |pages=2137–2340 |doi=10.1063/1.531039 |arxiv=funct-an/9602005 |bibcode = 1995JMP....36.2237C }}
{{پایان چپچین}}
==پیوند به بیرون==
* [http://www.scholarpedia.org/article/Path_integral Path integral on Scholarpedia]
*[http://www.quantumfieldtheory.info/Path_Integrals_in_Quantum_Theories.htm Path Integrals in Quantum Theories: A Pedagogic 1st Step] [http://www.quantumfieldtheory.info/Path_Integrals_in_Quantum_Theories.pdf pdf vers]
[[رده:مفاهیم بنیادین فیزیک]]
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