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Volumn 39, Issue 6, 1998, Pages 3091-3119

Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface

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EID: 0032392456     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532241     Document Type: Article
Times cited : (13)

References (31)
  • 1
    • 0003425766 scopus 로고
    • Belfer Graduate School of Science, Yeshiva University, New York
    • P. A. M. Dirac, "Lectures on quantum mechanics," Belfer Graduate School of Science, Yeshiva University, New York, 1964.
    • (1964) Lectures on Quantum Mechanics
    • Dirac, P.A.M.1
  • 2
    • 36749116497 scopus 로고
    • Presymplectic manifolds and the Dirac-Bergman theory of constraints
    • M. J. Gotay, J. M. Nester, and G. Hinds, "Presymplectic manifolds and the Dirac-Bergman theory of constraints," J. Math. Phys. 19, 2388-2399 (1978).
    • (1978) J. Math. Phys. , vol.19 , pp. 2388-2399
    • Gotay, M.J.1    Nester, J.M.2    Hinds, G.3
  • 3
    • 49549151837 scopus 로고
    • Reduction of symplectic manifolds with symmetry
    • J. E. Marsden and A. Weinstein, "Reduction of symplectic manifolds with symmetry," Rep. Math. Phys. 5, 121-130 (1974).
    • (1974) Rep. Math. Phys. , vol.5 , pp. 121-130
    • Marsden, J.E.1    Weinstein, A.2
  • 4
    • 0041983481 scopus 로고
    • Hamiltonian reduction of unconstrained and constrained systems
    • L. Faddeev and R. Jackiw, "Hamiltonian reduction of unconstrained and constrained systems," Phys. Rev. Lett. 60, 1692 (1988).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 1692
    • Faddeev, L.1    Jackiw, R.2
  • 5
    • 0002061573 scopus 로고
    • Sur certaines représentations unitaires d'un groupe infini de transformations
    • L. Van Hove, "Sur certaines représentations unitaires d'un groupe infini de transformations," Proc. R. Acad. Sci. Belgium 26, 1-102 (1951).
    • (1951) Proc. R. Acad. Sci. Belgium , vol.26 , pp. 1-102
    • Van Hove, L.1
  • 7
    • 0000052658 scopus 로고
    • Deformation quantization of Heisenberg manifolds
    • M. A. Rieffel, "Deformation quantization of Heisenberg manifolds," Commun. Math. Phys. 122, 531-562 (1989).
    • (1989) Commun. Math. Phys. , vol.122 , pp. 531-562
    • Rieffel, M.A.1
  • 9
    • 0001589208 scopus 로고
    • Algebraic quantization of systems with a gauge degeneracy
    • H. Grundling and C. A. Hurst, "Algebraic quantization of systems with a gauge degeneracy," Commun. Math. Phys. 98, 369-390 (1985); H. Grundling and C. A. Hurst, "A note on regular states and supplementary conditions," Lett. Math. Phys. 15, 205-212 (1988); and errata, ibid. 17, 173-174 (1989).
    • (1985) Commun. Math. Phys. , vol.98 , pp. 369-390
    • Grundling, H.1    Hurst, C.A.2
  • 10
    • 0039206452 scopus 로고
    • A note on regular states and supplementary conditions
    • and errata, ibid. 17, 173-174 (1989)
    • H. Grundling and C. A. Hurst, "Algebraic quantization of systems with a gauge degeneracy," Commun. Math. Phys. 98, 369-390 (1985); H. Grundling and C. A. Hurst, "A note on regular states and supplementary conditions," Lett. Math. Phys. 15, 205-212 (1988); and errata, ibid. 17, 173-174 (1989).
    • (1988) Lett. Math. Phys. , vol.15 , pp. 205-212
    • Grundling, H.1    Hurst, C.A.2
  • 12
    • 33745057539 scopus 로고
    • Rieffel induction as generalised quantum Marsden-Weinstein reduction
    • N. P. Landsman, "Rieffel induction as generalised quantum Marsden-Weinstein reduction," J. Geom. Phys. 15, 285-319 (1995).
    • (1995) J. Geom. Phys. , vol.15 , pp. 285-319
    • Landsman, N.P.1
  • 14
    • 36849108826 scopus 로고
    • F. Strocchi and A. S. Wightman, J. Math. Phys. 15, 2198 (1974); 17, 1930 (1976).
    • (1976) J. Math. Phys. , vol.17 , pp. 1930
  • 15
    • 0039924169 scopus 로고    scopus 로고
    • N.Y.
    • J. Klauder, Ann. Phys. (N.Y.) 254, 419-453 (1997).
    • (1997) Ann. Phys. , vol.254 , pp. 419-453
    • Klauder, J.1
  • 17
    • 0030584523 scopus 로고    scopus 로고
    • Monopole gauge fields and quantum potentials induced by the geometry in simple dynamical systems
    • N.Y.
    • P. Maraner, "Monopole gauge fields and quantum potentials induced by the geometry in simple dynamical systems," Ann. Phys. (N.Y.) 246, 325-346 (1996).
    • (1996) Ann. Phys. , vol.246 , pp. 325-346
    • Maraner, P.1
  • 20
    • 0002847936 scopus 로고
    • Superselection rules from Dirac and BRST quantization of systems with constraints
    • N. P. Landsman and N. Linden, "Superselection rules from Dirac and BRST quantization of systems with constraints," Nucl. Phys. B 371, 415-433 (1992).
    • (1992) Nucl. Phys. B , vol.371 , pp. 415-433
    • Landsman, N.P.1    Linden, N.2
  • 21
    • 0039798552 scopus 로고
    • Classical states and the BRST charge
    • D. McMullan, "Classical states and the BRST charge," Commun. Math. Phys. 149, 161-174 (1992).
    • (1992) Commun. Math. Phys. , vol.149 , pp. 161-174
    • McMullan, D.1
  • 22
    • 0003306954 scopus 로고
    • Constrained dynamics
    • Springer-Verlag, New York
    • K. Sundermeyer, "Constrained dynamics," Lecture Notes in Physics (Springer-Verlag, New York, 1982), Vol. 169.
    • (1982) Lecture Notes in Physics , vol.169
    • Sundermeyer, K.1


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