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The meaning of Maslov's asymptotic method: The need of Planck's constant in mathematics
Author(s):
Jean
Leray
Journal:
Bull. Amer. Math. Soc.
5
(1981),
15-27.
MSC (1980):
Primary 47B99, 81C99;
Secondary 35S99, 42B99
MathSciNet review:
614311
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Additional information
References:
- 1.
- V. I. Arnold, On a characteristic class intervening in quantum conditions, Functional Anal. Appl. 1 (1967), 1-14. (Russian with English transl.) MR 211415
- 2.
- V. C. Buslaev, Quantization and the W. K. B. method, Trudy Mat. Inst. Steklov 110 (1970), 5-28. (Russian) MR 297258
- 3.
- V. P. Maslov, Perturbation theory and asymptotic methods, M. G. U., Moscow, 1965. (Russian)
- 4.
- H. Poincaré, Sur les intégrales irrégulières des équations linéaires, Acta Math. 8 (1886), 295-344. MR 1554701
- 5.
- I. E. Segal, Foundations of the theory of dynamical systems of infinitely many degrees of freedom. I, Mat-Fys. Medd. Danske Vid. Selsk. 31 (1959), 1-39. MR 112626
- 6.
- J. Leray, Analyse lagrangienne et mécanique quantique, Séminaire du Collège de France 1976-1977; R. C. P. 25, Strasbourg, 1978. MR 501198
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Additional Information:
DOI:
10.1090/S0273-0979-1981-14914-4
PII:
S 0273-0979(1981)14914-4
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