Rate of convergence for large coupling limits by brownian motion

M. Demuth; F. Jeske; W. Kirsch

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 59, Issue: 3, page 327-355
  • ISSN: 0246-0211

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Demuth, M., Jeske, F., and Kirsch, W.. "Rate of convergence for large coupling limits by brownian motion." Annales de l'I.H.P. Physique théorique 59.3 (1993): 327-355. <http://eudml.org/doc/76625>.

@article{Demuth1993,
author = {Demuth, M., Jeske, F., Kirsch, W.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Schrödinger operators; strong resolvent; Dirichlet operator},
language = {eng},
number = {3},
pages = {327-355},
publisher = {Gauthier-Villars},
title = {Rate of convergence for large coupling limits by brownian motion},
url = {http://eudml.org/doc/76625},
volume = {59},
year = {1993},
}

TY - JOUR
AU - Demuth, M.
AU - Jeske, F.
AU - Kirsch, W.
TI - Rate of convergence for large coupling limits by brownian motion
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 59
IS - 3
SP - 327
EP - 355
LA - eng
KW - Schrödinger operators; strong resolvent; Dirichlet operator
UR - http://eudml.org/doc/76625
ER -

References

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  2. [Dei/Sim] P. Deift and B. Simon, On the Decoupling of Finite Singularities from the Question of Asymptotic Completeness in two Body Quantum Systems, J. Funct. Anal., Vol. 23, 1976, pp. 218-238. Zbl0344.47007MR432051
  3. [Dem] M. Demuth, On Large Coupling Operator Norm Convergence of Resolvent Differences, J. Math. Phys., Vol. 32, 1991, pp. 1522-1530. Zbl0732.47014MR1109203
  4. [Dem/vCal] M. Demuth and J. van Casteren, On Spectral Theory for Selfadjoint Feller Generators, Rev. Math. Phys., Vol. 1, 1989, pp. 325-414. Zbl0715.60093MR1061118
  5. [Dem/vCa2] M. Demuth and J. van Casteren, On Spectral Theory for Selfadjoint Feller Generators II, Preprint Univ. Antwerp, 1992, to be published. MR1061118
  6. [His/Sig] P. Hislop and I.M. Sigal, Semiclassical Theory of Shape Resonances in Quantum Mechanics, Memoirs Amer. Math. Soc., Vol. 78, 1989, No. 399. Zbl0704.35115MR989524
  7. [Kar/Shr] I. Karatzas and S.E. Shreve, Brownian Motion and Stochastic Calculus, New York, Springer, 1988. Zbl0638.60065MR917065
  8. [Kat] T. Kato, Perturbation Theory for Linear Operators, Berlin, Springer, 1966. Zbl0148.12601
  9. [LeG] J.-F. Le Gall, Sur une conjecture de M. Kac, Probab. Th. Rel. Fields, Vol. 78, 1988, pp. 389-402. Zbl0655.60067MR949180
  10. [Mey] T. Meyre, Étude asymptotique du temps passé par le mouvement brownien dans un cône, Ann. Inst. Henri Poincaré, Vol. 27, 1991, pp. 107-124. Zbl0727.60092MR1098566
  11. [Por/Sto] S. Port and C. Stone, Brownian Motion and Classical Potential Theory, New York, Academic Press, 1978. Zbl0413.60067MR492329
  12. [Sim] B. Simon, Functional Integration and Quantum Physics, New York, Academic Press, 1979. Zbl0434.28013MR544188
  13. [vdB] M. Van Den Berg, On the Asymptotics of the Heat Equation and Bounds on Traces Associated with the Dirichlet Laplacian, J. Funct. Anal., Vol. 71, 1987, pp. 279-293. Zbl0632.35016MR880981
  14. [Wlo] J. Wloka, Partielle Differentialgleichungen, Stuttgart, Teubner, 1982. MR652934

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