Abstract:
We show that it is possible to formulate the canonical Hamiltonian formalism for the relativistic particle, in a covariant fashion and without some well-known problems, when we introduce the concept of a reference system to establish the notions of time and space. Starting from the observer-dependent Hamiltonian formalism, we obtain the result that the wave function describing the quantum behavior of the particle must be observer dependent and we give the corresponding wave equation. © 1987 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Covariant observer-dependent Hamiltonian formalism for the relativistic particle |
Autor: | Ferraro, R.; Yastremiz, C.; Castagnino, M. |
Filiación: | Mathematics Department, Universidad de Buenos Aires, Ciudad Universitaria-Pab. i, 1428 Buenos Aires, Argentina Instituto de Astronomía y Física Del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Instituo de Física de Rosario (CONICET-UNR), Facultad de Ingenieria, Av. Pellegrini 250, 1428 Buenos Aires, Argentina
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Año: | 1987
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Volumen: | 35
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Número: | 2
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Página de inicio: | 540
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Página de fin: | 543
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.35.540 |
Título revista: | Physical Review D
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ISSN: | 05562821
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v35_n2_p540_Ferraro |
Referencias:
- Landau, L.D., Lifshitz, E.M., (1975) The Classical Theory of Fields, , Pergamon, New York
- P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science Monograph Series Number Two (Yeshiva University, New York, 1964); A. Hanson, T. Regge, and C. Teitelboim, Constrained Hamiltonian Systems (Academia Nazionale dei Lincei, Roma, 1976); Castagnino, M., Ferraro, R., (1986) Phys. Rev. D, 34, p. 497
- We shall restrict ourselves to the space-time manifolds that admit such a foliation; It does not necessarily coincide with the proper time of the fluid elements; It can be shown that this condition implies that the Vmu for the varied trajectory stay orthogonal to vmu; The ``extra'' minus signs are due to the signature chosen for the metric (see Sec. IV, pμ=-gμν m dxν/ds, so the energy is positive for the free particle); This equation can be obtained also from a variational principle minimizing the action. In this case we should take into account the constraint (16). It can be seen that the associated Lagrange multiplier is null; Weinberg, S., (1972) Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, , Wiley, New York
Citas:
---------- APA ----------
Ferraro, R., Yastremiz, C. & Castagnino, M.
(1987)
. Covariant observer-dependent Hamiltonian formalism for the relativistic particle. Physical Review D, 35(2), 540-543.
http://dx.doi.org/10.1103/PhysRevD.35.540---------- CHICAGO ----------
Ferraro, R., Yastremiz, C., Castagnino, M.
"Covariant observer-dependent Hamiltonian formalism for the relativistic particle"
. Physical Review D 35, no. 2
(1987) : 540-543.
http://dx.doi.org/10.1103/PhysRevD.35.540---------- MLA ----------
Ferraro, R., Yastremiz, C., Castagnino, M.
"Covariant observer-dependent Hamiltonian formalism for the relativistic particle"
. Physical Review D, vol. 35, no. 2, 1987, pp. 540-543.
http://dx.doi.org/10.1103/PhysRevD.35.540---------- VANCOUVER ----------
Ferraro, R., Yastremiz, C., Castagnino, M. Covariant observer-dependent Hamiltonian formalism for the relativistic particle. 1987;35(2):540-543.
http://dx.doi.org/10.1103/PhysRevD.35.540