Abstract
After a detailed report on the representation of the momentum operator in curved space, we straightforwardly obtain the representation of the inverse momentum operator in a curved space.
Similar content being viewed by others
References
B E Baaquie, The theoretical foundations of quantum mechanics (Springer, Berlin, 2013)
P A M Dirac, The principle of quantum mechanics (Oxford University Press, Oxford, 1958)
B S DeWitt and T Stanev, Phys. Rev. 85, 653 (1952)
M Carreau, Phys. Rev. D 40, 6 (1989)
G R Gruber, Am. J. Phys. 40, 1702 (1972)
C S Wang, Am. J. Phys. 57, 1 (1989)
P Villaseñor-Gonzalez and J Cisneros-Parra, Am. J. Phys. 49, 8 (1981)
Y Zhan, Phys. Lett. A 128, 9 (1988)
B Leaf, Am. J. Phys. 47, 9 (1979)
V Galitski, B Karnakov, V Kogan and V Galitski, Jr, Exploring quantum mechanics: A collection of 700\(+\) solved problems for students, Lectures and Researchers (readable at Google books, Oxford, 2013)
H Fan and L Fu, J. Phys. A 36, 4987 (2003)
Acknowledgements
The author would like to thank Prof. Mohammad Reza Sarkardei for critical reading and Prof. Mohammad Khorrami for precious comments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Matehkolaee Mehdi, J. Representation of the inverse momentum operator in curved space. Pramana - J Phys 93, 84 (2019). https://doi.org/10.1007/s12043-019-1863-7
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-019-1863-7