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Semi-classical quantization of the magnetic top

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Il Nuovo Cimento B (1971-1996)

Summary

The magnetic top (A. O. Barut, M. Bozić and Z. Marić:Ann. Phys. (N.Y.),214, (1992) 53) is quantized using the Bohr-Sommerfeld-Einstein (BSE) and the Einstein-Brillouin-Keller (EBK) quantization methods. It has been previously quantized by canonical, Schrödinger (A. O. Barut, M. Bozić and Z. Marić:Ann. Phys. (N.Y.),214, (1992) 53) and path-integral methods (A. O. Barut and I. Duru:Phys. Lett. A,158, (1991) 441). By comparing the exact wave functions with the semi-classical ones, it is concluded that the usual conditions of quantization should be modified in order to allow for half-integer values of canonical angular momentum (spin). This modification requires to abandon the condition of single-valuedness of wave functions. We justify this using Pauli’s and the Reiss argumentation that single-valuedness of wave functions does not follow from basic quantum-mechanical postulates and that a certain kind of multi-valued (i.e. path-dependent) wave functions cannot be excludeda priori.

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Authors and Affiliations

  1. Institute of Physics, P.O. Box 57, Beograd, Yugoslavia

    D. Arsenović, Z. Marić & M. Bozić

  2. Physics Department, University of Colorado, 80309, Boulder, CO, USA

    A. O. Barut

Authors
  1. D. Arsenović
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  2. A. O. Barut
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  3. Z. Marić
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  4. M. Bozić
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Deceased.

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Arsenović, D., Barut, A.O., Marić, Z. et al. Semi-classical quantization of the magnetic top. Nuov Cim B 110, 163–175 (1995). https://doi.org/10.1007/BF02741499

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  • DOI: https://doi.org/10.1007/BF02741499

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