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Quantum mechanics on topologically nontrivial spaces

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Abstract

The formulation of quantum mechanics on topologically nontrivial spaces is discussed. It is pointed out that the “obstacles” are represented by cohomology groups and not only byπ 1(m) as usually stated. Some widespread errors and misunderstandings are cleared up.

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References

  • Aharonov, Y., and Bohm, D. (1959).Physical Review,115, 484.

    Google Scholar 

  • Carlen, E. A., and Loffredo, M. I. (1989).Physics Letters A,141, 9.

    Google Scholar 

  • Dubrovin, B. A., Krichenev, I. M., and Novikov, S. P. (1982). InSoviet Scientific Review, Physics Reviews, Vol. 3 (S. P. Novikov, ed.), Harwood Academic Publishers, New York.

    Google Scholar 

  • Green, M., Schwarz, J. H., and Witten, E. (1986).Superstring Theory, Cambridge University Press, Cambridge.

    Google Scholar 

  • Greenberg, M. J. (1967).Lectures on Algebraic Topology, Benjamin, Reading, Massachusetts.

    Google Scholar 

  • Hosotani, Y. (1989).Annals of Physics,190, 233.

    Google Scholar 

  • Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry, Vol. 1, Interscience Publishers, New York.

    Google Scholar 

  • Mańka, R., Sładkowski, J., and Vitiello, G. (1989).Physics Letters B,222, 31.

    Google Scholar 

  • Novikov, S. P. (1982).Uspekhi Matematicheskikh Nauk,37(5), 3.

    Google Scholar 

  • Polonyi, J. (1988). InQuark Gluon Plasma (R. C. Hwa, ed.), World Scientific, Singapore [MIT preprint CPT #1744].

    Google Scholar 

  • Ryder, L. H. (1985).Quantum Field Theory, Cambridge University Press, Cambridge.

    Google Scholar 

  • Schulman, L. S. (1981).Techniques and Applications of Path Integration, Wiley, New York.

    Google Scholar 

  • Sładkowski, J. (1990a).Physical Review Letters, submitted.

  • Sładkowski, J. (1990b).Fortschritte der Physik,38, 477.

    Google Scholar 

  • Spanier, E. H. (1966).Algebraic Topology, McGraw-Hill, New York.

    Google Scholar 

  • Trautman, A. (1981).Acta Physica Austriaca, Supllementa XXIII, 401.

    Google Scholar 

  • Whitehead, G. W. (1978).Elements of Homotopy Theory, Springer, New York.

    Google Scholar 

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Sładkowski, J. Quantum mechanics on topologically nontrivial spaces. Int J Theor Phys 30, 53–57 (1991). https://doi.org/10.1007/BF00670757

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  • DOI: https://doi.org/10.1007/BF00670757

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