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Springer-Verlag, Berlin; see Chap. 5
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See, e.g., D.C. Mattis, The Theory of Magnetism (Springer-Verlag, Berlin 1981), Vol. I; see Chap. 5.
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14
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1242291145
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note
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We regard a BS rule as proper only if it includes these corrections. For a single particle, e.g., the action for an orbit must be equated to (n + 1/2)(2πℏ), and the rule would be improper if the 1/2 were left out. The necessity and rationale for including these corrections is well known. In the spin case, we similarly require the 1/j corrections relative to leading order.
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16
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0034367834
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M. Stone, K.-S. Park, and A. Garg, J. Math. Phys. (N.Y.) 41, 8025 (2000). See also H. G. Solari, ibid. 28, 1097 (1987); E. A. Kochetov, ibid. 36, 4667 (1995); V. R. Vieira and P. D. Sacramento, Nucl. Phys. B448, 331 (1995).
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Stone, M.1
Park, K.-S.2
Garg, A.3
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17
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0010689918
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M. Stone, K.-S. Park, and A. Garg, J. Math. Phys. (N.Y.) 41, 8025 (2000). See also H. G. Solari, ibid. 28, 1097 (1987); E. A. Kochetov, ibid. 36, 4667 (1995); V. R. Vieira and P. D. Sacramento, Nucl. Phys. B448, 331 (1995).
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Solari, H.G.1
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18
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21844523361
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M. Stone, K.-S. Park, and A. Garg, J. Math. Phys. (N.Y.) 41, 8025 (2000). See also H. G. Solari, ibid. 28, 1097 (1987); E. A. Kochetov, ibid. 36, 4667 (1995); V. R. Vieira and P. D. Sacramento, Nucl. Phys. B448, 331 (1995).
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Kochetov, E.A.1
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19
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10444276836
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M. Stone, K.-S. Park, and A. Garg, J. Math. Phys. (N.Y.) 41, 8025 (2000). See also H. G. Solari, ibid. 28, 1097 (1987); E. A. Kochetov, ibid. 36, 4667 (1995); V. R. Vieira and P. D. Sacramento, Nucl. Phys. B448, 331 (1995).
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Sacramento, P.D.2
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20
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1242336073
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-
note
-
The degree of this polynomial can be no greater than 2j, but in physical situations it is usually much smaller.
-
-
-
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21
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85088489165
-
-
note
-
+ is the area inside the orbit traversed in the counterclockwise sense.
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-
-
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22
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0004179876
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Perseus Books, Reading, MA, Chap. 20
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See, e.g., J. Schwinger, L. L. DeRaad, K. A. Milton, and W.-y. Tsai, Classical Electrodynamics (Perseus Books, Reading, MA, 1998), Chap. 20.
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Schwinger, J.1
Deraad, L.L.2
Milton, K.A.3
Tsai, W.-Y.4
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23
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0037247813
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A. Garg, E. A. Kochetov, K.-S. Park, and M. Stone, J. Math. Phys. (N.Y.) 44, 48 (2003).
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Garg, A.1
Kochetov, E.A.2
Park, K.-S.3
Stone, M.4
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24
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1242291144
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Proceedings of the Les Houches Summer School, Session XXVIII, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam
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This observation is originally due to L. D. Faddeev, in Methods in Field Theory, Proceedings of the Les Houches Summer School, Session XXVIII, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976); J. R. Klauder, Phys. Rev. D 19, 2349 (1979).
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Methods in Field Theory
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Faddeev, L.D.1
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25
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4243623661
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This observation is originally due to L. D. Faddeev, in Methods in Field Theory, Proceedings of the Les Houches Summer School, Session XXVIII, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976); J. R. Klauder, Phys. Rev. D 19, 2349 (1979).
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-
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Klauder, J.R.1
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27
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1242291148
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-
note
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Up to terms of order (1/j), this is equivalent to the rule as given in Ref. [11]. One can show this in the same way that we derive Eq. (34).
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28
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85088490037
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2jℓ)
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2jℓ)
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