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Instantons, double wells and large deviations
Author(s):
Barry
Simon
Journal:
Bull. Amer. Math. Soc.
8
(1983),
323-326.
MSC (1980):
Primary 35P15, 81H99;
Secondary 60J65
MathSciNet review:
684899
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Additional information
References:
- 1.
- S. Agmon, On exponential decay of solutions of second order elliptic equations in unbounded domains, Proc. A. Pleijel Conf.
- 2.
- S. Agmon, Lectures on exponential decay of solutions of second order elliptic equations. Bounds on eigenfunctions of N-body of Schrödinger operators, Math, notes, Princeton Univ. Press, Princeton, N. J., 1980. MR 745286
- 3.
- R. Carmona and B. Simon, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V. Lower bounds and path integrals, Comm. Math. Phys. 80 (1981), 59-98. MR 623152
- 4.
- S. Coleman, The uses of instantons, Proc. Internat. School of Physics, Erice, 1977.
- 5.
- S. Combes, P. Duclos and R. Seiler, Krein's formula and one dimensional multiple-well, J. Functional Analysis (to appear).
- 6.
- E. Gildener and A. Patrascioiu, Pseudoparticle contributions to the energy spectrum of a one dimensional system, Phys. Rev. D16 (1977), 425-443.
- 7.
- E. Harrell, On the rate of asymptotic eigenvalue degeneracy, Comm. Math. Phys. 60 (1978), 73. MR 486764
- 8.
- E. Harrell, Double wells, Comm. Math. Phys. 75 (1980), 239. MR 581948
- 9.
- M. Pincus, Gaussian processes and Hammerstein integral equations, Trans. Amer. Math. Soc. 134 (1968), 193-216. MR 231439
- 10.
- M. Schilder, Some asymptotic formulas for Wiener integrals, Trans. Amer. Math. Soc. 125 (1965), 63-85. MR 201892
- 11.
- B. Simon, Functional integration and quantum physics, Academic Press, New York, 1979. MR 544188
- 12.
- B. Simon, Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima: Asymptotic expansions, Ann. Inst. H. Poincaré (to appear).
- 13.
- B. Simon, Semiclassical analysis of low lying eigenvalues.II. Tunneling (in preparation).
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15104-2
PII:
S 0273-0979(1983)15104-2
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