The principle of variation for relativistic quantum particles

Masao Nagasawa; Hiroshi Tanaka

Séminaire de probabilités de Strasbourg (2001)

  • Volume: 35, page 1-27

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Nagasawa, Masao, and Tanaka, Hiroshi. "The principle of variation for relativistic quantum particles." Séminaire de probabilités de Strasbourg 35 (2001): 1-27. <http://eudml.org/doc/114061>.

@article{Nagasawa2001,
author = {Nagasawa, Masao, Tanaka, Hiroshi},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {jump Markov processes; multiplicative functional; variational principle; Schrödinger processes},
language = {eng},
pages = {1-27},
publisher = {Springer - Lecture Notes in Mathematics},
title = {The principle of variation for relativistic quantum particles},
url = {http://eudml.org/doc/114061},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Nagasawa, Masao
AU - Tanaka, Hiroshi
TI - The principle of variation for relativistic quantum particles
JO - Séminaire de probabilités de Strasbourg
PY - 2001
PB - Springer - Lecture Notes in Mathematics
VL - 35
SP - 1
EP - 27
LA - eng
KW - jump Markov processes; multiplicative functional; variational principle; Schrödinger processes
UR - http://eudml.org/doc/114061
ER -

References

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  3. Ikeda, N. & Watanabe, S. (1962): On some relations between the harmonic measure and Lévy measure for a certain class of Markov processes. J. Math. Kyoto Univ.2, 79-95. Zbl0118.13401
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  5. Kunita, H. (1969): Absolute continuity of Markov processes and generators. Nagoya Math. J.36, 1-26. Zbl0186.51203MR250387
  6. Nagasawa, M. (1993): Schrödinger equations and Diffusion Theory. Birkhäuser Verlag, Basel Boston Berlin. Zbl0780.60003MR1227100
  7. Nagasawa, M. (1996): Quantum theory, theory of Brownian motions, and relativity theory. Chaos, Solitons and Fractals, 7, 631-643. Zbl1080.81539MR1405642
  8. Nagasawa, M. (1997): Time reversal of Markov processes and relativistic quantum theory. Chaos, Solitons and Fractals, 8, 1711-1772. Zbl0935.81040MR1477258
  9. Nagasawa, M., and Tanaka, H. (1998): Stochastic differential equations of pure-jumps in relativistic quantum theory. Chaos, Solitons and Fractals, 10, No 8,1265-1280. Zbl0963.81009MR1697664
  10. Nagasawa, M., and Tanaka, H. (1999): Time dependent subordination and Markov processes with jumps. Sém. de Probabilités, Springer (to appear). Zbl0963.60062MR1768068
  11. Sato, K., (1990): Subordination depending on a parameter. Probability Theory and Mathematical Statistics, Proc. Fifth Vilnius Conf. Vol. 2, 372-382. Zbl0732.60016MR1153891
  12. Skorokhod, A.V. (1965): Studies in the theory of random processes. Addison-Wesley Pub. Co. INC, Reading, Mass. Zbl0146.37701MR185620
  13. Vershik, A., Yor, M., (1995): Multiplicativité du processus gamma et étude asymptotique des lois stables d'indice α, lorsque α tend vers 0. Prepublications du Lab. de probab. de l'université Paris VI, 284 (1995). 
  14. Watanabe, S. (1964): On discontinuous additive functionals and Lévy measures of a Markov process. Japanese J. Math.36, 429-469. Zbl0141.15703MR185675

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