Skip to main content
Log in

On an analyticity property in (complex) phase space

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Some consequences of one-valuedness on the real phase space for certain analytic functions over the complex phase space of a Hamiltonian system are demonstrated. The Bohr-Sommerfeld quantisation conditions are reformulated as one-valuedness conditions for these functions on the complex phase space.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Born, M. and Jordan, P. (1925).Zeitschrift für Physik 34 858.

    Google Scholar 

  • Born, M. and Wiener, N. (1925–26).Journal of Mathematics and Physics, (M.I.T.) 5 84.

    Google Scholar 

  • Jammer, M. (1966).The Conceptual Development of Quantum Mechanics Chapter 3. McGraw-Hill, New York.

    Google Scholar 

  • Levi-Civita (1904).Mathematische Annalen 59 383.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On leave of absence from Department of Physics, University of Khartoum, Sudan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khan, I. On an analyticity property in (complex) phase space. Int J Theor Phys 10, 73–89 (1974). https://doi.org/10.1007/BF01810394

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01810394

Keywords

Navigation