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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | Additional information

References:

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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
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V. P. Maslov, Perturbation theory and asymptotic methods, M. G. U., Moscow, 1965. (Russian)
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H. Poincaré, Sur les intégrales irrégulières des équations linéaires, Acta Math. 8 (1886), 295-344. MR 1554701
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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
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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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