Covariant observer-dependent Hamiltonian formalism for the relativistic particle

Journal Article · Thu Jan 15 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.540· OSTI ID:6136117

Ferraro, R; Yastremiz, C; Castagnino, M

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.

• Research Organization: Mathematics Department, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria-Pab. I, 1428 Buenos Aires, Argentina
• OSTI ID: 6136117
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FUNCTIONS
GRAVITATIONAL FIELDS
HAMILTONIANS
INTERACTIONS
MATHEMATICAL OPERATORS
MECHANICS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
QUANTUM MECHANICS
QUANTUM OPERATORS
RELATIVISTIC RANGE
SPACE-TIME
TRANSFORMATIONS
WAVE EQUATIONS
WAVE FUNCTIONS