Abstract
Many physical problems can be described as a single (or a few) degrees of freedom interacting with a free field, regarded as a bath or reservoir. It is commonly assumed that a nontrivial coupling to the field serves as a mechanism for the small system to dissipate its energy. This somewhat vague formulation should be made precise by mathematical physics and we take here the point of view that it is reflected in the spectrum of the coupled Hamiltonian.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.J. Leggett et al., Rev. Mod. Phys. ,59, 1 (1987).
H. Spohn and R. Dümcke, J. Stat. Phys. ,41, 389 (1985).
H. Spohn, Comm. Math. Phys. ,123, 277 (1989).
M. Fannes, B. Nachtergaele and A. Verbeure, J. Phys. A ,21, 1759 (1988).
M. Fannes, B. Nachtergaele and A. Verbeure, Comm. Math. Phys. ,114, 537 (1988).
H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, “Schrödinger Operators”, Springer, Berlin (1987).
E. Mourre, Comm. Math. Phys. ,78, 391 (1981).
R. Froese and I. Herbst, Duke Math. J. ,49, 1075 (1982).
M. Hübner and H. Spohn, to be published.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hübner, M., Spohn, H. (1994). The Spectrum of the Spin-Boson Model. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_44
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2460-1_44
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6047-6
Online ISBN: 978-1-4615-2460-1
eBook Packages: Springer Book Archive