Skip to main content
Log in

Algebraic basis for the theory of the Dirac transformations and the Feynman formulation of quantum mechanics

  • Published:
Soviet Physics Journal Aims and scope

Abstract

The algebraic foundations of Dirac notation and path integrals are examined. It is shown that a formulation of quantum mechanics on the basis of the theory of C* algebras permits these questions to be analyzed from a common standpoint.

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

Literature cited

  1. F. A. Berezin, Usp. Fiz. Nauk,132, No. 3 (1980).

  2. G. S. Agarwal and E. Wolf, Phys. Rev.,B2, 2161 (1970).

    Google Scholar 

  3. N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov, Fundamentals of the Axiomatic Approach in Quantum Field Theory [in Russian], Fizmatgiz, Moscow (1969).

    Google Scholar 

  4. P. A. M. Dirac, Lectures on Quantum Field Theory [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  5. F. A. Berezin, Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 5 (1974).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 95–98, May, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mishnev, O.G. Algebraic basis for the theory of the Dirac transformations and the Feynman formulation of quantum mechanics. Soviet Physics Journal 25, 466–468 (1982). https://doi.org/10.1007/BF00891774

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00891774

Keywords

Navigation