Skip to main content

The Spectrum of the Spin-Boson Model

  • Chapter
On Three Levels

Part of the book series: NATO ASI Series ((NSSB,volume 324))

  • 559 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.J. Leggett et al., Rev. Mod. Phys. ,59, 1 (1987).

    Article  ADS  Google Scholar 

  2. H. Spohn and R. Dümcke, J. Stat. Phys. ,41, 389 (1985).

    Article  ADS  Google Scholar 

  3. H. Spohn, Comm. Math. Phys. ,123, 277 (1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M. Fannes, B. Nachtergaele and A. Verbeure, J. Phys. A ,21, 1759 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. M. Fannes, B. Nachtergaele and A. Verbeure, Comm. Math. Phys. ,114, 537 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, “Schrödinger Operators”, Springer, Berlin (1987).

    MATH  Google Scholar 

  7. E. Mourre, Comm. Math. Phys. ,78, 391 (1981).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. R. Froese and I. Herbst, Duke Math. J. ,49, 1075 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Hübner and H. Spohn, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics