Principle of superposition and interference of diffusion processes

Masao Nagasawa

Séminaire de probabilités de Strasbourg (1993)

  • Volume: 27, page 1-14

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Nagasawa, Masao. "Principle of superposition and interference of diffusion processes." Séminaire de probabilités de Strasbourg 27 (1993): 1-14. <http://eudml.org/doc/113808>.

@article{Nagasawa1993,
author = {Nagasawa, Masao},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {superposition principle in quantum theory; Schrödinger equation; diffusion processes},
language = {fre},
pages = {1-14},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Principle of superposition and interference of diffusion processes},
url = {http://eudml.org/doc/113808},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Nagasawa, Masao
TI - Principle of superposition and interference of diffusion processes
JO - Séminaire de probabilités de Strasbourg
PY - 1993
PB - Springer - Lecture Notes in Mathematics
VL - 27
SP - 1
EP - 14
LA - fre
KW - superposition principle in quantum theory; Schrödinger equation; diffusion processes
UR - http://eudml.org/doc/113808
ER -

References

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  1. Aebi, R., Nagasawa, M. (1992): Large deviations and the propagation of chaos for Schrödinger processes. Probab. Th. Rel. Fields, 94, 53-68. Zbl0767.60056MR1189085
  2. Nagasawa, M. (1961): The adjoint process of a diffusion process with reflecting barrier, Kodai Math. Sem. Rep.13, 235-248. Zbl0102.14101MR169291
  3. Nagasawa, M. (1964): Time reversal of Markov processes, Nagoya Math. Jour.24, 177-204. Zbl0133.10702MR169290
  4. Nagasawa, M. (1980): Segregation of a population in an environment, J. Math. Biology9, 213-235. Zbl0447.92017MR661428
  5. Nagasawa, M. (1989): Transformations of diffusion and Schrödinger processes. Probab. Th. Rel. Fields, 82, 109-136. Zbl0666.60073MR997433
  6. Nagasawa, M. (1990): Can the Schrödinger equation be a Boltzmann equation? Evanston 1989, In "Diffusion processes and Related problems in Analysis". Ed. by M. Pinsky, Birkhäuser Verlag. Zbl0723.60119MR1110163
  7. Nagasawa, M. (1991): The equivalence of diffusion and Schrödinger equations: A solution to Schrödinger's conjecture. Locarno Conference June, 1991. Ed. by S. Albeverio, World Scientific, Singapore. Zbl0836.60088
  8. Nagasawa, M. (Monograph): Schrödinger Equations and Diffusion Theory. Birkhäuser Verlag, Basel-Boston-Berlin, 1993. Zbl0780.60003MR1227100
  9. Schrödinger, E. (1931): Über die Umkehrung der Naturgesetze. Sitzungsberichte der preussischen Akad. der Wissenschaften Physicalisch Mathematische Klasse, 144-153. Zbl0001.37503
  10. Schrödinger, E. (1932): Sur la théorie relativiste de l'électron et l'interprétation de la mécanique quantique. Ann. Inst. H. Poincaré2, 269-310. Zbl0004.42505JFM58.0933.03

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