[1] |
H. Airault , Subordination de processus dans Ie fibré tangent et formes harmoniques , C. R. Acad. Sc. Paris , t. 282 , Sér. A , 1976 , p. 1311 - 1314 . MR 420740 | Zbl 0336.53029 · Zbl 0336.53029 |
[2] |
S.J. Avis and C.J. Isham , Lorentz gauge invariant vacuum functionals for quantized spinor fields in non-simply connected space-times . Preprint Imperial College, London SW7 2BZ, 1979 . MR 542970 |
[3] |
J.M.C. Clark , An introduction to stochastic differential equations on manifolds , Geometric Methods in Systems Theory (D. Q. Mayne, R. W. Brockett, eds.), Reidel , Holland, 1973 . Zbl 0296.60035 · Zbl 0296.60035 |
[4] |
B.S. De Witt , Dynamical theory in curved spaces. I . A review of the classical and quantum action principles , Rev. Mod. Phys. , t. 29 , 1957 , p. 337 - 397 . MR 95691 | Zbl 0118.23301 · Zbl 0118.23301 · doi:10.1103/RevModPhys.29.377 |
[5] |
B.S. De Witt , C.F. Hart and C.J. Isham , Topology and quantum field theory . To appear in the Schwinger Festschrift. |
[6] |
C. De Witt-Morette , A. Maheshwari and B. Nelson , Path integration in non-relativistic mechanics , Physics Reports , t. 50 , 1979 , p. 257 - 372 . |
[7] |
C. De Witt-Morette and K.D. Elworthy , Stochastic differential equations . Lecture notes and problems , Preprint of the Center for Relativity, University of Texas , Austin , TX 78712, 1979 . |
[8] |
J. Dollard and C. Friedman , Product integration , Addison-Wesley , 1979 . MR 552941 |
[9] |
J.S. Dowker , Quantum mechanics and field theory on multiply connected and on homogeneous spaces , J. Phys. A. Gen. Phys. , t. 5 , 1972 , p. 936 - 943 . MR 418715 |
[10] |
J. Eells and K.D. Elworthy , Stochastic Dynamical Systems, in Control theory and topics in functional analysis , vol. III , International Atomic Energy Agency , Vienna , 1976 , p. 179 - 185 . MR 516923 | Zbl 0355.60053 · Zbl 0355.60053 |
[11] |
K.D. Elworthy , Stochastic differential equations on manifolds . Notes based on seminars given by J. Eells and K. D. Elworthy, available from the Department of Mathematics, University of Warwick , Coventry CV4 7AL, and references therein, 1978 . |
[12] |
K.D. Elworthy and A. Truman , Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation on riemannian manifolds . In preparation, 1979 . Zbl 0485.70024 · Zbl 0485.70024 · doi:10.1063/1.524784 |
[13] |
W. Garczynski , On alternative ways of including an external electromagnetic field , Bull. Acad. Polonaise Sciences , t. XXI , 1973 , p. 355 - 358 . |
[14] |
M.G.G. Laidlaw , Ph. D. Thesis , University of North Carolina , 1971 . |
[15] |
M.G.G. Laidlaw and C.M. Dewitt , Feynman functional integrals for systems of indistinguishable particles , Phys. Rev. , t. D 3 , 1971 , p. 1375 - 1377 . |
[16] |
D.W. Mclaughlin and L.S. Schulman , Path integrals in curved spaces , J. Math. Phys. , t. 12 , 1971 , p. 2520 - 2524 . MR 289052 |
[17] |
C. Morette , On the definition and approximation of Feynnman’s path integrals , Phys. Rev. , t. 81 , 1951 , p. 848 - 852 . MR 41009 | Zbl 0042.45506 · Zbl 0042.45506 · doi:10.1103/PhysRev.81.848 |
[18] |
B.L. Nelson and B. Sheeks , Path integration for velocity dependent potentials , Preprint of the Center for Relativity, University of Texas , Austin , TX 78712, 1979 . · Zbl 0509.70012 |
[19] |
W. Pauli , Asugewahlte Kapitel aus Der Feldquantisierung, Gehalten an Der E. T. H. in Zürich, 1950-1951 . Reprinted in Pauli Lectures in Physics , Ed. C. P. Enz, MIT Press , 1952 . |
[20] |
H.R. Petry , Exotic spinors in superconductivity , J. Math. Phys. , t. 20 , 1979 , p. 231 - 240 . MR 519205 |
[21] |
M.A. Pinsky , Stochastic riemannian geometry , Probabilistic analysis and related topics , t. 1 , 1978 , p. 199 - 236 . MR 501385 | Zbl 0452.60083 · Zbl 0452.60083 |
[22] |
L.S. Schulman , A path integral for spin , Phys. Rev. , t. 176 , 1968 , p. 1558 - 1567 . MR 237149 |
[23] |
L.S. Schulman , Green’s function for an electron in a lattice , Phys. Rev. , t. 188 , 1969 , p. 1139 - 1142 . |
[24] |
B. Simon , Functional integration and quantum physics , Academic Press , 1979 . MR 544188 | Zbl 0434.28013 · Zbl 0434.28013 |
[25] |
N. Steenrod , The topology of fibre bundles , Princeton University Press , 1951 . MR 39258 | Zbl 0054.07103 · Zbl 0054.07103 |
[26] |
A. Truman , Classical mechanics, the diffusion (heat) equation and the Schrödinger equation , J. Math. Phys. , t. 18 , 1977 , p. 2308 - 2315 . MR 468817 | Zbl 0366.35042 · Zbl 0366.35042 · doi:10.1063/1.523240 |
[27] |
S.K. Wong , Field and particle equations for the classical Yang-Mills field and particles with isotropic spin , Nuovo Cimento , t. 65 , 1970 , p. 689 - 694 . |
[28] |
C.N. Yang and R.L. Mills , Conservation of isotopic spin and isotopic gauge invariance , Phys. Rev. , t. 96 , 1954 , p. 191 - 195 . MR 65437 · Zbl 1378.81075 |
[29] |
S.T. Yau , On the heat kernel of a complete riemannian manifold , J. Math. pures et appl. , t. 57 , 1978 , p. 191 - 207 . MR 505904 | Zbl 0405.35025 · Zbl 0405.35025 |