Abstract
A quantum mechanical particle moving in one-dimensional half-space under the influence of a potential V is described by the Hamiltonian
acting on L 2 [0, ∞) with boundary conditions
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Carmona, R.; J. Funct. Anal. 51, 229–258 (1983)
Delyon, F.; Levy, Y.; Souillard, B.; J. Stat. Phys. 41 375–388 (1985)
Glazman, I. M.; Direct methods of qualitive spectral analysis, Israel Program of Scientific Translation, 1965
Hislop, P.; Nakamura, S.; Rev. Math. Phys. 2, 479–494 (1990)
Holden, H.; Martinelli, F.; Commun. Math. Phys. 93, 197–217 (1984)
Howland, J.; J. Funct. Anal. 74, 52–80 (1987)
Kirsch, W.; Molchanov, S.A.; Pastur, L.A.; Funct. Anal. Appl. 24, 176–186 (1990)
Kotani, S.; Contemp. Math 50, 277–286 (1986)
Levitan, Sargsjan; Introduction to Spectral Theory, Amer. Math. Soc.
Simon, B.; Spencer, T.; Commun. Math. Phys. 125, 113–125 (1989)
Stolz, G.; Bounded solutions and absolute continuity of Sturm-Liouville operators, Preprint
Simon, B.; Wolff, T.; Commun. Pure. Appl. Math. 39, 75–90 (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Basel AG
About this chapter
Cite this chapter
Kirsch, W., Molchanov, S.A., Pastur, L.A. (1992). One dimensional Schrödinger operators with high potential barriers. In: Demuth, M., Gramsch, B., Schulze, BW. (eds) Operator Calculus and Spectral Theory. Operator Theory: Advances and Applications, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8623-9_13
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8623-9_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9703-7
Online ISBN: 978-3-0348-8623-9
eBook Packages: Springer Book Archive