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Davies, E. B.

The twisting trick for double well Hamiltonians. (English) Zbl 0524.47019

Commun. Math. Phys. 85, 471-479 (1982).
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Cited in 15 Documents

MSC:

47B25 Linear symmetric and selfadjoint operators (unbounded)
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81V55 Molecular physics

Keywords:

double well Hamiltonian; twisting trick; quantum chemistry; spectral properties; anharmonic oscillator

Citations:

Zbl 0445.35036; Zbl 0393.34015
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\textit{E. B. Davies}, Commun. Math. Phys. 85, 471--479 (1982; Zbl 0524.47019)
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References:

[1] Aventini, P., Seiler, R.: On the electronic spectrum of the diatomic molecular ion. Commun. Math. Phys.41, 119-134 (1975)
[2] Combes, J.M., Seiler, R.: Regularity and asymptotic properties of the discrete spectrum of electronic Hamiltonians. Int. J. Quantum Chem.14, 213-229 (1978)
[3] Davies, E.B.: One-parameter semigroups. New York: Academic Press 1980 · Zbl 0457.47030
[4] Davies, E.B., Simon, B.: Scattering theory for systems with different spatial asymptotics on the left and right. Commun. Math. Phys.63, 277-301 (1978) · Zbl 0393.34015
[5] Harrell, E.M.: On the rate of asymptotic eigenvalue degeneracy. Commun. Math. Phys.60, 73-95 (1978) · Zbl 0395.34023
[6] Harrell, E.M.: Double wells. Commun. Math. Phys.75, 239-261 (1980) · Zbl 0445.35036
[7] Harrell, E.M., Klaus, M.: On the double well problem for Dirac operators. Preprint 1981 · Zbl 0529.35062
[8] Morgan, J.D. III, Simon, B.: Behaviour of molecular potential energy curves for large nuclear separations. Int. J. Quantum Chem.17, 1143-1166 (1980)
[9] Reed, M., Simon, B.: Methods of modern mathematical physics, Vol. 1. New York: Academic Press 1972 · Zbl 0242.46001
[10] Reed, M., Simon, B.: Methods of modern mathematical physics, Vol. 3. New York: Academic Press 1979 · Zbl 0405.47007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.