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  • Séminaire de théorie spectrale et géométrie
  • Volume 11 (1992-1993)
  • p. 147-155
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Semiclassical eigenstates in a multidimensional well
T. F. Pankratova
Séminaire de théorie spectrale et géométrie, Volume 11 (1992-1993), pp. 147-155.
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MR   Zbl
DOI: 10.5802/tsg.137
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@article{TSG_1992-1993__11__147_0,
     author = {T. F. Pankratova},
     title = {Semiclassical eigenstates in a multidimensional well},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {147--155},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {11},
     year = {1992-1993},
     doi = {10.5802/tsg.137},
     zbl = {0937.35511},
     mrnumber = {1715949},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.137/}
}
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VL  - 11
PB  - Institut Fourier
PP  - Grenoble
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DO  - 10.5802/tsg.137
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T. F. Pankratova. Semiclassical eigenstates in a multidimensional well. Séminaire de théorie spectrale et géométrie, Volume 11 (1992-1993), pp. 147-155. doi : 10.5802/tsg.137. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.137/
  • References
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1. M.V. Fedoryuk, Mat.Sb. 68(110) ( 1965), 81-110. (Russian)

2. A.G. Alenitsyn, Differentsial'nye Uravneniya 18 ( 1982), 1971-1975, English transl. in Differential Equations vol.18 ( 1982). (Russian) | MR | Zbl

3. B. Simon, Semiclassical analysis of low lying eigenvalues, II-Tunneling, Ann. Math. 120 ( 1984), 89-118. | MR | Zbl

4. G. Jona-Lasinio, F. Montinelli, E. Scoppola, New approach to the semiclassical limit of quantum mechanics, Comm. Math. Phys. 80 ( 1981), 223-254. | MR | Zbl

5. E.M. Harrel, Double wells, Comm. Math. Phys. 75 ( 1980), 337-408. | MR | Zbl

6. B. Helffer, J. Sjöstrand, Multiple welIs in the semiclassical limit, Math. Nachr. 124 ( 1985), 263-313. | MR | Zbl

7. E. Delabaere and H. Dillinger, Contribution a la resurgence quantique, These de doctorat de math., L'Université de Nice Sophia-Antipolis.

8. T. F. Pankratova, Quasimodes and splitting of eigenvalues, Soviet Math. Dokl. 29 ( 1984), 597-601. | MR | Zbl

9. Nguyên Hu'U Du'C and F. Pham, Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées, Annales de l'institut Fourier, Grenoble 41 ( 1991), 905-936. | Numdam | MR | Zbl

10. T. F. Pankratova, Olver's form asymptotics for the localised solution of the Schrödinger equation, Intenational Conference on DIFFERENTIAL EQUATIONS (Equa∂i/∂tff 91) Vol.2, Barcelona, Spain, World Scientific (26-31 August 1991), 810-813. | MR | Zbl

11. T. F. Pankratova, The eigenstates of the Schrödinger equation in a multidimensional well. Analytic phases for an analytic potential, Prépublication n°337 Mars 1993, L'Université de Nice Sophia-Antipolis.

12. T. F. Pankratova, Semiclassical eigenstates for a multidimensional well, Preprint DYSCO-023 May 1993, University of Milan. International institute for the Interdisciplinary Study of Dynamical Systems, Como, Italy .

13. T. F. Pankratova, Semiclassical eigenstates for a 2-dimensional well. Second approximation for small quantum numbers., Matematics Preprint Series No. 136 June 1993, University of Barcelona.

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