Hamiltonians with zero-range interactions supported by a brownian path

S. E. Cheremshantsev

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 56, Issue: 1, page 1-25
  • ISSN: 0246-0211

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Cheremshantsev, S. E.. "Hamiltonians with zero-range interactions supported by a brownian path." Annales de l'I.H.P. Physique théorique 56.1 (1992): 1-25. <http://eudml.org/doc/76558>.

@article{Cheremshantsev1992,
author = {Cheremshantsev, S. E.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {measurable map; selfadjoint Hamiltonians; ultraviolet cut-off in Fourier- representation; Trotter-Kato theorem},
language = {eng},
number = {1},
pages = {1-25},
publisher = {Gauthier-Villars},
title = {Hamiltonians with zero-range interactions supported by a brownian path},
url = {http://eudml.org/doc/76558},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Cheremshantsev, S. E.
TI - Hamiltonians with zero-range interactions supported by a brownian path
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 56
IS - 1
SP - 1
EP - 25
LA - eng
KW - measurable map; selfadjoint Hamiltonians; ultraviolet cut-off in Fourier- representation; Trotter-Kato theorem
UR - http://eudml.org/doc/76558
ER -

References

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  3. [3] A.S. Blagovestchenski and K.K. Lavrentiev, The Three-Dimensional Laplace Operator with the Boundary Condition on a line, Vestnik L.G.U. (in russian), No. 1, 1977, pp. 9-15. Zbl0346.35033
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  5. [5] J.-P. Antoine, F. Gesztesy and J. Shabani, Exactly Solvable Models of Sphere Interactions in Quantum Mechanics, J. Phys., Vol. A 20, 1987, pp. 3687-3712. MR913638
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  7. [7] A. Grossmann, R. Hoegh-Krohn and M. Mebkhout, A Class of Explicitly Soluble, Many-Center Hamiltonians for One-Particle Quantum Mechanics in Two and Three Dimensions I., J. Math. Phys., Vol. 21, 1980, pp. 2376-2385. MR585589
  8. [8] S. Albeverio, S. Fenstad, R. Hoegh-Krohn and T. Lindstrom, Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Academic Press, New York-San Francisco-London, 1986. Zbl0605.60005MR859372
  9. [9] F.A. Berezin and L.D. Faddeev, A Remark on Schroedinger's Equation with a Singular Potential, Soviet. Math. Dokl., Vol. 2, 1961, pp. 372-375. Zbl0117.06601
  10. [10] N.I. Akhiezer and I.M. Glazman, Theory of Linear Operators in Hilbert Space, Vol. 2. Pitman, Boston-London-Melbourne, 1981. Zbl0467.47001
  11. [11] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York-London, 1972. Zbl0242.46001MR493419

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