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Representation of the inverse momentum operator in curved space

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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.

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References

  1. B E Baaquie, The theoretical foundations of quantum mechanics (Springer, Berlin, 2013)

    Book  Google Scholar 

  2. P A M Dirac, The principle of quantum mechanics (Oxford University Press, Oxford, 1958)

    Book  Google Scholar 

  3. B S DeWitt and T Stanev, Phys. Rev. 85, 653 (1952)

    Article  ADS  Google Scholar 

  4. M Carreau, Phys. Rev. D 40, 6 (1989)

    Article  MathSciNet  Google Scholar 

  5. G R Gruber, Am. J. Phys. 40, 1702 (1972)

    Article  ADS  Google Scholar 

  6. C S Wang, Am. J. Phys. 57, 1 (1989)

    Article  Google Scholar 

  7. P Villaseñor-Gonzalez and J Cisneros-Parra, Am. J. Phys. 49, 8 (1981)

    Article  Google Scholar 

  8. Y Zhan, Phys. Lett. A 128, 9 (1988)

    Article  MathSciNet  Google Scholar 

  9. B Leaf, Am. J. Phys. 47, 9 (1979)

    Article  Google Scholar 

  10. 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)

  11. H Fan and L Fu, J. Phys. A 36, 4987 (2003)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgements

The author would like to thank Prof. Mohammad Reza Sarkardei for critical reading and Prof. Mohammad Khorrami for precious comments.

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Correspondence to Jafari Matehkolaee Mehdi.

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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

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  • DOI: https://doi.org/10.1007/s12043-019-1863-7

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