Stochastic quantum mechanics (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Stochastic quantum mechanics" in English language version.

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21doi.org

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13harvard.edu

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8semanticscholar.org

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7worldcat.org

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7springer.com

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6arxiv.org

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2aps.org

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aps.org (Global: 1,503^rd place; English: 1,378^th place)

journals.aps.org

Nelson 1966. Nelson, E. (1966). "Derivation of the Schrödinger equation from Newtonian Mechanics". Physical Review. 150 (4): 1079–1085. Bibcode:1966PhRv..150.1079N. doi:10.1103/PhysRev.150.1079.
Wallstrom 1994. Wallstrom, T.C. (1994). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. Bibcode:1994PhRvA..49.1613W. doi:10.1103/PhysRevA.49.1613. PMID 9910408.

arxiv.org (Global: 69^th place; English: 59^th place)

Davidson 1979, p. 1. Davidson, M. P. (1979). "The Origin of the Algebra of Quantum Operators in the Stochastic Formulation of Quantum Mechanics". Letters in Mathematical Physics. 3 (5): 367–376. arXiv:quant-ph/0112099. Bibcode:1979LMaPh...3..367D. doi:10.1007/BF00397209. ISSN 0377-9017. S2CID 6416365.
Kuipers 2023, p. 61. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 9. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 23. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 34. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Huang & Zambrini 2023. Huang, Q.; Zambrini, J.C. (2023). "From Second-Order Differential Geometry to Stochastic Geometric Mechanics". Journal of Nonlinear Science. 33 (67): 1–127. arXiv:2201.03706. Bibcode:2023JNS....33...67H. doi:10.1007/s00332-023-09917-x.

doi.org (Global: 2^nd place; English: 2^nd place)

Nelson 1966. Nelson, E. (1966). "Derivation of the Schrödinger equation from Newtonian Mechanics". Physical Review. 150 (4): 1079–1085. Bibcode:1966PhRv..150.1079N. doi:10.1103/PhysRev.150.1079.
Nelson 2014. Nelson, E. (2014). "Stochastic mechanics of relativistic fields". Journal of Physics: Conference Series. 504 (1) 012013. Bibcode:2014JPhCS.504a2013N. doi:10.1088/1742-6596/504/1/012013. S2CID 123706792.
Davidson 1979, p. 1. Davidson, M. P. (1979). "The Origin of the Algebra of Quantum Operators in the Stochastic Formulation of Quantum Mechanics". Letters in Mathematical Physics. 3 (5): 367–376. arXiv:quant-ph/0112099. Bibcode:1979LMaPh...3..367D. doi:10.1007/BF00397209. ISSN 0377-9017. S2CID 6416365.
Guerra 1981. Guerra, F. (1981). "Structural aspects of stochastic mechanics and stochastic field theory". Physics Reports. 77 (3): 263–312. Bibcode:1981PhR....77..263G. doi:10.1016/0370-1573(81)90078-8.
Wiener 1923. Wiener, Norbert (1923). "Differential-Space". Journal of Mathematics and Physics. 2 (1–4): 131–174. doi:10.1002/sapm192321131. ISSN 0097-1421.
Kac 1949. Kac, M. (1949). "On Distributions of Certain Wiener Functionals". Transactions of the American Mathematical Society. 65 (1): 1–13. doi:10.2307/1990512. JSTOR 1990512.
Cameron 1960, pp. 126–140. Cameron, R. H. (1960). "A Family of Integrals Serving to Connect the Wiener and Feynman Integrals". Journal of Mathematics and Physics. 39 (1–4): 126–140. doi:10.1002/sapm1960391126. ISSN 0097-1421.
Daletskii 1962, pp. 1–107. Daletskii, Yu L (1962-10-31). "Functional Integrals Connected with Operator Evolution Equations". Russian Mathematical Surveys. 17 (5): 1–107. Bibcode:1962RuMaS..17....1D. doi:10.1070/RM1962v017n05ABEH004121. ISSN 0036-0279.
Einstein 1905. Einstein, A. (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen". Annalen der Physik. 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. ISSN 0003-3804.
Perrin 1911. Perrin, J. (1911). "Brownian Movement and Molecular Reality". Nature. 86 (2160): 105. Bibcode:1911Natur..86..105R. doi:10.1038/086105a0. hdl:2027/mdp.39015010952425. ISSN 0028-0836.
Doob 1942. Doob, J. L. (1942). "The Brownian Movement and Stochastic Equations". The Annals of Mathematics. 43 (2): 351–369. doi:10.2307/1968873. JSTOR 1968873.
Kuipers 2023, p. 61. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 9. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 23. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Yasue 1979. Yasue, K. (1979). "Stochastic quantization: a review". International Journal of Theoretical Physics. 18 (12): 861–913. Bibcode:1979IJTP...18..861Y. doi:10.1007/BF00669566. S2CID 120858652.
Zambrini 1985. Zambrini, J.C. (1985). "Stochastic dynamics: a review of stochastic calculus of variations". International Journal of Theoretical Physics. 24 (3): 277–327. Bibcode:1985IJTP...24..277Z. doi:10.1007/BF00669792. S2CID 122076991.
Kuipers 2023, p. 34. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Wallstrom 1989. Wallstrom, T.C. (1989). "On the derivation of the Schrödinger equation from Stochastic Mechanics". Foundations of Physics Letters. 2 (2): 113–126. Bibcode:1989FoPhL...2..113W. doi:10.1007/BF00696108.
Wallstrom 1994. Wallstrom, T.C. (1994). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. Bibcode:1994PhRvA..49.1613W. doi:10.1103/PhysRevA.49.1613. PMID 9910408.
Pavon 1995. Pavon, M. (1995). "A new formulation of stochastic mechanics". Physics Letters A. 209 (3–4): 143–149. Bibcode:1995PhLA..209..143P. doi:10.1016/0375-9601(95)00847-4. hdl:11577/100424.
Huang & Zambrini 2023. Huang, Q.; Zambrini, J.C. (2023). "From Second-Order Differential Geometry to Stochastic Geometric Mechanics". Journal of Nonlinear Science. 33 (67): 1–127. arXiv:2201.03706. Bibcode:2023JNS....33...67H. doi:10.1007/s00332-023-09917-x.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

Perrin 1911. Perrin, J. (1911). "Brownian Movement and Molecular Reality". Nature. 86 (2160): 105. Bibcode:1911Natur..86..105R. doi:10.1038/086105a0. hdl:2027/mdp.39015010952425. ISSN 0028-0836.
Pavon 1995. Pavon, M. (1995). "A new formulation of stochastic mechanics". Physics Letters A. 209 (3–4): 143–149. Bibcode:1995PhLA..209..143P. doi:10.1016/0375-9601(95)00847-4. hdl:11577/100424.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Nelson 1966. Nelson, E. (1966). "Derivation of the Schrödinger equation from Newtonian Mechanics". Physical Review. 150 (4): 1079–1085. Bibcode:1966PhRv..150.1079N. doi:10.1103/PhysRev.150.1079.
Nelson 2014. Nelson, E. (2014). "Stochastic mechanics of relativistic fields". Journal of Physics: Conference Series. 504 (1) 012013. Bibcode:2014JPhCS.504a2013N. doi:10.1088/1742-6596/504/1/012013. S2CID 123706792.
Davidson 1979, p. 1. Davidson, M. P. (1979). "The Origin of the Algebra of Quantum Operators in the Stochastic Formulation of Quantum Mechanics". Letters in Mathematical Physics. 3 (5): 367–376. arXiv:quant-ph/0112099. Bibcode:1979LMaPh...3..367D. doi:10.1007/BF00397209. ISSN 0377-9017. S2CID 6416365.
Guerra 1981. Guerra, F. (1981). "Structural aspects of stochastic mechanics and stochastic field theory". Physics Reports. 77 (3): 263–312. Bibcode:1981PhR....77..263G. doi:10.1016/0370-1573(81)90078-8.
Daletskii 1962, pp. 1–107. Daletskii, Yu L (1962-10-31). "Functional Integrals Connected with Operator Evolution Equations". Russian Mathematical Surveys. 17 (5): 1–107. Bibcode:1962RuMaS..17....1D. doi:10.1070/RM1962v017n05ABEH004121. ISSN 0036-0279.
Einstein 1905. Einstein, A. (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen". Annalen der Physik. 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. ISSN 0003-3804.
Perrin 1911. Perrin, J. (1911). "Brownian Movement and Molecular Reality". Nature. 86 (2160): 105. Bibcode:1911Natur..86..105R. doi:10.1038/086105a0. hdl:2027/mdp.39015010952425. ISSN 0028-0836.
Yasue 1979. Yasue, K. (1979). "Stochastic quantization: a review". International Journal of Theoretical Physics. 18 (12): 861–913. Bibcode:1979IJTP...18..861Y. doi:10.1007/BF00669566. S2CID 120858652.
Zambrini 1985. Zambrini, J.C. (1985). "Stochastic dynamics: a review of stochastic calculus of variations". International Journal of Theoretical Physics. 24 (3): 277–327. Bibcode:1985IJTP...24..277Z. doi:10.1007/BF00669792. S2CID 122076991.
Wallstrom 1989. Wallstrom, T.C. (1989). "On the derivation of the Schrödinger equation from Stochastic Mechanics". Foundations of Physics Letters. 2 (2): 113–126. Bibcode:1989FoPhL...2..113W. doi:10.1007/BF00696108.
Wallstrom 1994. Wallstrom, T.C. (1994). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. Bibcode:1994PhRvA..49.1613W. doi:10.1103/PhysRevA.49.1613. PMID 9910408.
Pavon 1995. Pavon, M. (1995). "A new formulation of stochastic mechanics". Physics Letters A. 209 (3–4): 143–149. Bibcode:1995PhLA..209..143P. doi:10.1016/0375-9601(95)00847-4. hdl:11577/100424.
Huang & Zambrini 2023. Huang, Q.; Zambrini, J.C. (2023). "From Second-Order Differential Geometry to Stochastic Geometric Mechanics". Journal of Nonlinear Science. 33 (67): 1–127. arXiv:2201.03706. Bibcode:2023JNS....33...67H. doi:10.1007/s00332-023-09917-x.

jstor.org (Global: 26^th place; English: 20^th place)

Kac 1949. Kac, M. (1949). "On Distributions of Certain Wiener Functionals". Transactions of the American Mathematical Society. 65 (1): 1–13. doi:10.2307/1990512. JSTOR 1990512.
Doob 1942. Doob, J. L. (1942). "The Brownian Movement and Stochastic Equations". The Annals of Mathematics. 43 (2): 351–369. doi:10.2307/1968873. JSTOR 1968873.

loc.gov (Global: 70^th place; English: 63^rd place)

lccn.loc.gov

Nelson 1985. Nelson, E. (1985). Quantum Fluctuations. Princeton: Princeton University Press. ISBN 0-691-08378-9. LCCN 84026449. OCLC 11549759.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Wallstrom 1994. Wallstrom, T.C. (1994). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. Bibcode:1994PhRvA..49.1613W. doi:10.1103/PhysRevA.49.1613. PMID 9910408.

princeton.edu (Global: 741^st place; English: 577^th place)

press.princeton.edu

Nelson 1985. Nelson, E. (1985). Quantum Fluctuations. Princeton: Princeton University Press. ISBN 0-691-08378-9. LCCN 84026449. OCLC 11549759.

sciencedirect.com (Global: 149^th place; English: 178^th place)

Guerra 1981. Guerra, F. (1981). "Structural aspects of stochastic mechanics and stochastic field theory". Physics Reports. 77 (3): 263–312. Bibcode:1981PhR....77..263G. doi:10.1016/0370-1573(81)90078-8.
Pavon 1995. Pavon, M. (1995). "A new formulation of stochastic mechanics". Physics Letters A. 209 (3–4): 143–149. Bibcode:1995PhLA..209..143P. doi:10.1016/0375-9601(95)00847-4. hdl:11577/100424.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Nelson 2014. Nelson, E. (2014). "Stochastic mechanics of relativistic fields". Journal of Physics: Conference Series. 504 (1) 012013. Bibcode:2014JPhCS.504a2013N. doi:10.1088/1742-6596/504/1/012013. S2CID 123706792.
Davidson 1979, p. 1. Davidson, M. P. (1979). "The Origin of the Algebra of Quantum Operators in the Stochastic Formulation of Quantum Mechanics". Letters in Mathematical Physics. 3 (5): 367–376. arXiv:quant-ph/0112099. Bibcode:1979LMaPh...3..367D. doi:10.1007/BF00397209. ISSN 0377-9017. S2CID 6416365.
Kuipers 2023, p. 61. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 9. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 23. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Yasue 1979. Yasue, K. (1979). "Stochastic quantization: a review". International Journal of Theoretical Physics. 18 (12): 861–913. Bibcode:1979IJTP...18..861Y. doi:10.1007/BF00669566. S2CID 120858652.
Zambrini 1985. Zambrini, J.C. (1985). "Stochastic dynamics: a review of stochastic calculus of variations". International Journal of Theoretical Physics. 24 (3): 277–327. Bibcode:1985IJTP...24..277Z. doi:10.1007/BF00669792. S2CID 122076991.
Kuipers 2023, p. 34. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Kuipers 2023, p. 61. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 9. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Kuipers 2023, p. 23. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Yasue 1979. Yasue, K. (1979). "Stochastic quantization: a review". International Journal of Theoretical Physics. 18 (12): 861–913. Bibcode:1979IJTP...18..861Y. doi:10.1007/BF00669566. S2CID 120858652.
Zambrini 1985. Zambrini, J.C. (1985). "Stochastic dynamics: a review of stochastic calculus of variations". International Journal of Theoretical Physics. 24 (3): 277–327. Bibcode:1985IJTP...24..277Z. doi:10.1007/BF00669792. S2CID 122076991.
Kuipers 2023, p. 34. Kuipers, F. (2023). Stochastic Mechanics: the unification of quantum mechanics with Brownian motion. SpringerBriefs in Physics. Cham: SpringerBriefs in Physics. arXiv:2301.05467. doi:10.1007/978-3-031-31448-3. ISBN 978-3-031-31447-6. S2CID 255825676.
Wallstrom 1989. Wallstrom, T.C. (1989). "On the derivation of the Schrödinger equation from Stochastic Mechanics". Foundations of Physics Letters. 2 (2): 113–126. Bibcode:1989FoPhL...2..113W. doi:10.1007/BF00696108.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Nelson 1985. Nelson, E. (1985). Quantum Fluctuations. Princeton: Princeton University Press. ISBN 0-691-08378-9. LCCN 84026449. OCLC 11549759.
Davidson 1979, p. 1. Davidson, M. P. (1979). "The Origin of the Algebra of Quantum Operators in the Stochastic Formulation of Quantum Mechanics". Letters in Mathematical Physics. 3 (5): 367–376. arXiv:quant-ph/0112099. Bibcode:1979LMaPh...3..367D. doi:10.1007/BF00397209. ISSN 0377-9017. S2CID 6416365.
Wiener 1923. Wiener, Norbert (1923). "Differential-Space". Journal of Mathematics and Physics. 2 (1–4): 131–174. doi:10.1002/sapm192321131. ISSN 0097-1421.
Cameron 1960, pp. 126–140. Cameron, R. H. (1960). "A Family of Integrals Serving to Connect the Wiener and Feynman Integrals". Journal of Mathematics and Physics. 39 (1–4): 126–140. doi:10.1002/sapm1960391126. ISSN 0097-1421.
Daletskii 1962, pp. 1–107. Daletskii, Yu L (1962-10-31). "Functional Integrals Connected with Operator Evolution Equations". Russian Mathematical Surveys. 17 (5): 1–107. Bibcode:1962RuMaS..17....1D. doi:10.1070/RM1962v017n05ABEH004121. ISSN 0036-0279.
Einstein 1905. Einstein, A. (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen". Annalen der Physik. 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. ISSN 0003-3804.
Perrin 1911. Perrin, J. (1911). "Brownian Movement and Molecular Reality". Nature. 86 (2160): 105. Bibcode:1911Natur..86..105R. doi:10.1038/086105a0. hdl:2027/mdp.39015010952425. ISSN 0028-0836.

Stochastic quantum mechanics (English Wikipedia)

aps.org (Global: 1,503rd place; English: 1,378th place)

journals.aps.org

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

handle.net (Global: 102nd place; English: 76th place)