THE STOKA THEOREM - A SIDE STORY OF PHYSICS IN GRAVITATIONAL FIELD
Author: Nicolae Mazilu
Published on Saturday, February 2nd, 2008 in category ProtoQuant
IX. REFERENCES
Born, M., Infeld, L. (1934): Foundations of the New Field Theory, Proceedings of the Royal Society of London A144, p. 425
Carinena, J. F., Ramos, A. (1998): Integrability of Riccati Equation from a Group Theoretical Viewpoint, arXiv:math-ph/9810005 v1
Chernikov, N. A. (1977): The Affine Connection Space with Nonsymmetric Tensor Field, (in Russian) Preprint P2-11021, Dubna (and references therein)
Denman, H. H. (1968): Time - Translation Invariance for Certain Dissipative Classical Systems, American Journal of Physics, Vol. 36, p. 516
Einstein, A. (1967): The Meaning of Relativity, Science Paperbacks and Methuen & Co. Ltd
Ernst, F. J. (1968): New Formulation of the Axially Symmetric Gravitational Field Problem I, Physical Review 167, p. 1175; New Formulation of the Axially Symmetric Gravitational Field Problem II, Physical Review 168, p. 1415;
Ernst, F. J. (1971): Exterior Algebraic Derivation of Einstein Field Equations Employing a Generalized Basis, Journal of Mathematical Physics 12, 2395
Feinsilver, P., Schott, R. (1989): An Operator Approach to Processes on Lie Groups, Springer Lecture Notes, Volume 1391, pp. 59 - 65, Springer
Feynman, R. P., Hibbs, A. R. (1965): Quantum Mechanics and Path Integrals, McGraw-Hill, New York (Russian translation).
Fock, V. (1964): The Theory of Space, Time and Gravitation, Macmillan
Gradstein, I. S., Ryzhik, I. M. (1994): Tables of Integrals, Series and Products, Fifth Edition, A. Jeffrey Editor, Academic Press 1994
Hannay, J. H. (1985): Angle Variable Holonomy in Adiabatic Excursion of an Integrable Hamiltonian, Journal of Physics A18, pp. 221-230.
Israel, W., Wilson, G. A. (1972): A Class of Stationary Electromagnetic Vacuum Fields, Journal of Mathematical Physics 13, p. 865
Jaynes, E. T.(1973): The Well-Posed Problem, Foundations of Physics 3, pp. 477 - 493
Landau, L. D., Lifschitz, E. M. (1966): Mecanique, Mir Editions, Moscou
Lavenda, B. H. (1995): Thermodynamics of Extremes, Albion Publishing, Chichester
Leuci, M., Pastore, A. M. (1994): Families of Curves Measurable with Respect to the Affine Modular Group, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Vol. 35, p. 171
Matzner, R. A., Misner, C. W. (1967): Gravitational Field Equations for Sources with Axial Symmetry and Angular Momentum, Physical Review 154, p. 1229
Mensky, M. B. (1990): Group-Theoretical Structure of Quantum Continuous Measurements, Physics Letters A150, p. 331
Mensky, M. B. (1993): Continuous Quantum Measurements and Path Integrals, Institute of Physics Publishing, Bristol and Philadelphia
Mensky, M. B. (2002): Evolution of an Open System as a Continuous Measurement of this System by its Environment, arXiv:quant-ph/0211116, v.1
Misner, C. W. (1978): Harmonic Maps as Models for Physical Theories, Physical Review D18, p. 4510
Misner, C. W., Wheeler, J. A. (1957): Classical Physics as Geometry: Gravitation, Electromagnetism, Unquantized Charge and Mass as Properties of Curved Empty Space, Annals of Physics 2, pp. 525 - 603
Onicescu, O. (1966): Energie Informationelle, Comptes Rendus de l’Academie des Sciences Paris, 263A, p. 841
She, C. Y., Heffner, H. (1966): Simultaneous Measurements of Noncommuting Observables, Physical Review 152, p. 1103
Stoka, M. I. (1968): Géométrie Intégrale, Mémorial des Sciences Mathématiques, Paris, Gauthier - Villars
Stoler, D. (1970): Equivalence Classes of Minimum Uncertainty Packets, Physical Review D1, p. 3217
Stoler, D. (1971): Generalized Coherent States, Physical Review D4, p. 2309
Zelikin, M. I. (2000): Control Theory and Optimization, Encyclopedia of Mathematical Sciences, Volume 86, Springer