Configuration space properties of the scattering operator and time delay for potentials decaying like | χ | - α , α > 1

A. Mohapatra; Kalyan B. Sinha; W. O. Amrein

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

  • Volume: 57, Issue: 1, page 89-113
  • ISSN: 0246-0211

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Mohapatra, A., Sinha, Kalyan B., and Amrein, W. O.. "Configuration space properties of the scattering operator and time delay for potentials decaying like $\vert \chi \vert ^{-\alpha }, \, \alpha &gt; 1$." Annales de l'I.H.P. Physique théorique 57.1 (1992): 89-113. <http://eudml.org/doc/76580>.

@article{Mohapatra1992,
author = {Mohapatra, A., Sinha, Kalyan B., Amrein, W. O.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {time-decay estimates; potential scattering; Eisenbud-Wigner relation},
language = {eng},
number = {1},
pages = {89-113},
publisher = {Gauthier-Villars},
title = {Configuration space properties of the scattering operator and time delay for potentials decaying like $\vert \chi \vert ^\{-\alpha \}, \, \alpha &gt; 1$},
url = {http://eudml.org/doc/76580},
volume = {57},
year = {1992},
}

TY - JOUR
AU - Mohapatra, A.
AU - Sinha, Kalyan B.
AU - Amrein, W. O.
TI - Configuration space properties of the scattering operator and time delay for potentials decaying like $\vert \chi \vert ^{-\alpha }, \, \alpha &gt; 1$
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 57
IS - 1
SP - 89
EP - 113
LA - eng
KW - time-decay estimates; potential scattering; Eisenbud-Wigner relation
UR - http://eudml.org/doc/76580
ER -

References

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  2. [2] W.O. Amrein, M.B. Cibils and K.B. Sinha, Ann. Inst. Henri Pincaré, T. 47, 1987, p. 367. Zbl0657.35101MR933683
  3. [3] X.P. Wang, Helv. Phys. Acta, T. 60, 1987, p. 501. MR904166
  4. [4] S. Nakamura, Comm. Math. Phys., 109, 1987, p. 397. Zbl0639.35021MR882807
  5. [5] A. Jensen, Math. Scand., 54, 1984, p. 253. Zbl0529.46006
  6. [6] Ph. Martin, Acta Phys. Austriaca, Suppl. 23, 1981, p. 157. 
  7. [7] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W. A. Benjamin, Reading, Mass., 1977. Zbl0376.47001MR495999
  8. [8] Ph. Martin, Comm. Math. Phys., 47, 1976, p. 221. MR408599
  9. [9] M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV. Analysis of Operators, Academic Press, New York, 1978. Zbl0401.47001MR493421
  10. [10] A. Jensen, Comm. Math. Phys., 82, 1981, p. 435. Zbl0483.47031MR641772
  11. [11] M. Reed and B. Simon, Methods of Modern Mathematical Physics II. Fourier Analysis, Self adjointness, Academic Press, New York, 1972. Zbl0308.47002MR751959
  12. [12] R. Lavine, J. Funct. Anal., 12, 1973, p. 30. Zbl0246.47017MR342880
  13. [13] P. Perry, Comm. Math. Phys., 81, 1981, p. 243. Zbl0471.47007MR632760
  14. [14] K.B. Sinha, M. Krishna and P.L. Muthuramalingam, Ann. Inst. Henri-Poincare, T. 41, 1984, p. 79. Zbl0558.47007
  15. [15] A. Mohapatra, Configuration Space Properties of the Scattering Operator, Time Delay and the Eisenbud-Wigner Formula, Ph. D. thesis, Department of Mathematics, Sambalpur University, Jyoti Vihar, Orissa 768019, India. 

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