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Euclidean quantum mechanics and stochastic integrals

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Part of the Lecture Notes in Mathematics book series (LNM,volume 851)

Keywords

  • Quantum Mechanic
  • Quantum Theory
  • Classical Statistical Mechanic
  • Relativistic Field Theory
  • Wightman Function

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References

  1. R.F. Streater and A.S. Wightman, PCT, Spin and Statistics and All That. Benjamin/Cummings 2nd Ed. N.Y. 1978.

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  2. G.G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory. Wiley-Interscience, 1972.

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  3. K. Osterwalder and R. Schrader, Axioms for Euclidean Greens functions. Commun. Math. Phys. 31, 83 (1973); and 42, 281 (1975).

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  4. B. Simon, Functional Integration and Quantum Physics. (Academic Press, 1979).

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  5. J. Fröhlich, The reconstruction of quantum fields from Euclidean Green's functions at arbitrary temperatures; Helv. Phys. Acta 48, 355–363 (1975).

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  6. A. Klein and L.J. Landau, Stochastic Processes associated with KMS states. Preprint, University of California, Irvine.

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  7. S. Albeverio and R. Hoegh-Krohn, Uniqueness of the Physical Vacuum and the Wightman Functions in the Infinite Volume Limit for Some non Polynomial Interactions. Commun. Math. Phys. 30, 171–200 (1973).

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  8. J. Dollard and C. Friedman, On strong product integration. Jour. Funct. Anal. 28, 309 (1978).

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  9. K. Parthasarathy and B. Sinha, a Random Kato-Trotter product formula. Preprint, India Statistical Institute, New Delhi.

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© 1981 Springer-Verlag

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Streater, R.F. (1981). Euclidean quantum mechanics and stochastic integrals. In: Williams, D. (eds) Stochastic Integrals. Lecture Notes in Mathematics, vol 851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088733

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  • DOI: https://doi.org/10.1007/BFb0088733

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10690-6

  • Online ISBN: 978-3-540-38613-1

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