Skip to main content

Gevrey Frequency Set and Semi—Classical Behaviour of Wave Packets

  • Conference paper
Schrödinger Operators The Quantum Mechanical Many-Body Problem

Part of the book series: Lecture Notes in Physics ((LNP,volume 403))

Abstract

We begin with a brief review of the method of WKB-approximation for the Cauchy problem for time dependent Schrödinger equations

(1.1)

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Asada, K. and Fujiwara, D., On some oscillatory integral transformatiions in L2(ℝn), Japan. J. Math. 4 (1978), 299–361.

    MATH  MathSciNet  Google Scholar 

  2. Hörmander, L., The analysis of linear partial differential operators I, Springer, Berlin-HeidelbergNew York-Tokyo, 1983.

    Book  MATH  Google Scholar 

  3. Martinez, A., Estimations de l’effect tunnel pour le double puits II, États hautement excites, Bull. Soc. math. France 116 (1988), 199–229.

    MATH  MathSciNet  Google Scholar 

  4. Maslov, V. P., Theory of perturbations and asymptotic methods, in Russian, Moskov. Gos. Univ., Moskow, 1965.

    Google Scholar 

  5. Robert, D., Autour asymptotique semi-classique, Birkheuser, Basel, 1988.

    Google Scholar 

  6. Sjöstrand, J., Singularités analytiques microlocales, Asterisque 95 (1982).

    Google Scholar 

  7. Yajima, K., The quasi-classical limit of quantum scattering theory, Commun. math. Phys. 69 (1979), 101–129.

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yajima, K. (1992). Gevrey Frequency Set and Semi—Classical Behaviour of Wave Packets. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-55490-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-13888-5

  • Online ISBN: 978-3-540-47107-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics