Skip to main content
SpringerLink
Log in

On the Virial Theorem in Quantum Mechanics

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

We review the various assumptions under which abstract versions of the quantum mechanical virial theorem have been proved. We point out a relationship between the virial theorem for a pair of operators H, A and the regularity properties of the map . We give an example showing that the statement of the virial theorem in [CFKS] is incorrect.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. CNRS, Département de Mathématiques, Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin,¶95302 Cergy-Pontoise Cedex, France, , , , , , FR

    V. Georgescu

  2. Centre de Mathématiques, UMR 7640 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France, , , , , , FR

    C. Gérard

Authors
  1. V. Georgescu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Gérard
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 7 January 1999 / Accepted: 2 June 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Georgescu, V., Gérard, C. On the Virial Theorem in Quantum Mechanics. Comm Math Phys 208, 275–281 (1999). https://doi.org/10.1007/s002200050758

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050758

Keywords

Search

Navigation