Complexified quantum rules

V. F. Lazutkin; D. Ya. Terman

Séminaire de théorie spectrale et géométrie (1992-1993)

  • Volume: 11, page 133-145
  • ISSN: 1624-5458

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Lazutkin, V. F., and Terman, D. Ya.. "Complexified quantum rules." Séminaire de théorie spectrale et géométrie 11 (1992-1993): 133-145. <http://eudml.org/doc/114355>.

@article{Lazutkin1992-1993,
author = {Lazutkin, V. F., Terman, D. Ya.},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {semiclassical approximation; eigenstates; Schrödinger equation; quantization; tunneling of energy},
language = {eng},
pages = {133-145},
publisher = {Institut Fourier},
title = {Complexified quantum rules},
url = {http://eudml.org/doc/114355},
volume = {11},
year = {1992-1993},
}

TY - JOUR
AU - Lazutkin, V. F.
AU - Terman, D. Ya.
TI - Complexified quantum rules
JO - Séminaire de théorie spectrale et géométrie
PY - 1992-1993
PB - Institut Fourier
VL - 11
SP - 133
EP - 145
LA - eng
KW - semiclassical approximation; eigenstates; Schrödinger equation; quantization; tunneling of energy
UR - http://eudml.org/doc/114355
ER -

References

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  1. [A] V. I. ARNOLD, Modes and quasimodes, Funktional.anal.i Prilozen. 6 ( 1972), 12-20 (Russian); English transl., Functional Anal. Appl. 6 ( 1972). Zbl0251.70012MR297274
  2. [E] A. EINSTEIN, Zum Quantensatz von Sommerfeld und Epstein, Verhandl. Dtsch. Phys. Ges. 19 ( 1917), 82-92. 
  3. [KR] J. B. KELLER, S. RUBINOV, Asymptotic solution of eigenvalue problems, Annal.Phys. 9 ( 1960), 27-75. Zbl0087.43002
  4. [L1] V. F. LAZUTKIN , KAM Theory and Semiclassical Approximations to Eigenfunctions, Springer-Verlag, Heildelberg, 1993. Zbl0814.58001MR1239173
  5. [L2] V. F. LAZUTKIN , Diffraction looses on open resonators. Geometric approach, Soviet Doklady 258, No.5 ( 1981), 1089-1092. MR627659
  6. [L3] V. F. LAZUTKIN, Complex Billiards, Problemy matematicheskoi fisiki, vol.11, Leningrad State University, Leningrad, 1986, pp. 243-269. (Russian) Zbl0606.35018MR857112
  7. [LT1] V. F. LAZUTKINM, M. B. TABANOV, Asymptotic formulae for the radiation losses from an open resonator formed by cylindrical weakly curved mirrors , Preprint, VINITI No.3228 Dep. ot 11.07. 1983. (Russian) 
  8. [LT2] V. F. LAZUTKIN, M. B. TABANOV, Radiation from an open resonator formed by cylindrical weakly eurved mirrors, X Vsesoyuznaya akusticheskaya konferenciya, sekciya A, Moskow, 1983, pp. 13-16. (Russian) 
  9. [M] V. P. MASLOV, Théorie des perturbations et méthodes asymptotiques, Russian original: Moskow 1965, Dunod, Paris, 1972. Zbl0247.47010
  10. [Ta] M. B. TABANOV, Asymptotic expansions for solutions of the equations of Schrödinger type with two turning points with presence if radiation, Preprint, VINITI No.241 Dep. ot 13.01. 1983. (Russian) 
  11. [Tl] D. Ya. TERMAN, V.F. Lazutkin"Complex Billiards", Problemy matematicheskoi fisiki, vol.11, Leningrad State University, Leningrad, 1986, pp. 268-272. (Russian) Zbl0606.35019
  12. [T2] D. Ya. TERMAN, Splitting of eigenvalues of the Laplace operator in the ellipce with cuts, Zapiski Nauchnykh Seminarov LOMI, vol.179, Teoriya rasprostraneniya voln, Nauka, Leningrad, 1989. (Russian) 

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