A remark on eigenvalue splittings for one-dimensional double-well Hamiltonians

DOI10.1007/BF00574159zbMath0608.34026OpenAlexW2084333035MaRDI QIDQ1086406

Shu Nakamura

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00574159

zbMATH Keywords

eigenvalueWKB-methodone-dimensional double-well Hamiltonians

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items (5)

Passage through a potential barrier and multiple wells ⋮ Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid ⋮ Dirac Operators and Domain Walls ⋮ Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II ⋮ On the semiclassical approximation to the eigenvalue gap of Schrödinger operators

Cites Work

• Unnamed Item
• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators
• Convergent expansions for tunneling
• Double wells
• Multiple wells in the semi-classical limit I

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