Summary
A self-consistent definition of quantum free particle on a generic curved manifold naturally emerges by restricting the dynamics to submanifolds of co-dimension one.
Similar content being viewed by others
References
E. Schrödinger:Ann. Phys. (Leipzig),79, 734 (1926).
B. S. DeWitt:Phys. Rev.,85, 653 (1952).
J. S. Dowker: inFunctional Integration and its Application, edited by A. M. Arthurs (Clarendon, Oxford, 1975).
H. Jensen andH. Koppe:Ann. Phys. (N.Y.),63, 586 (1971).
R. C. T. da Costa:Phys. Rev. A,23, 1982 (1981).
T. Homma, T. Inamoto andT. Miyazaki:Phys. Rev. D,42, 2049 (1990).
N. Ogawa, K. Fujii andA. Kobushurin:Progr. Theor. Phys.,83, 894 (1990).
S. Takagi andT. Tanzawa:Progr. Theor. Phys.,87, 561 (1992).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Destri, C., Maraner, P. & Onofri, E. On the definition of quantum free particle on curved manifolds. Nuov Cim A 107, 237–241 (1994). https://doi.org/10.1007/BF02781555
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02781555