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Relativistic Quantum and Classical Mechanics in the Hilbert Space
Relativistic Quantum Classical Mechanics the Hilbert Space
2011/8/18
Abstract: We present a formulation of relativistic classical and quantum mechanics in the Hilbert space with a linkage through the Ehrenfest quantization. We start with the covariant form of the Loren...
Relativistic Quantum State, Geometric Phase and Dissipationless Spin current
Relativistic Quantum State Geometric Phase Dissipationless Spin current
2011/8/11
Abstract: Spin current of a Dirac particle is shown to be given by the geometric phase and in terms of the later, a closed form expression is obtained for the dissipationlessness of the spin current.
Timeless path integral for relativistic quantum mechanics
Timeless path relativistic quantum mechanics
2010/10/27
Starting from the canonical formalism of relativistic (timeless) quantum mechanics, the formulation of timeless path integral is rigorously derived. The transition amplitude is reformulated as the sum...
Two-spinors, oscillator algebras, and qubits: Aspects of manifestly covariant approach to relativistic quantum information
Two-spinors SL(2,C) qubits quantization
2010/3/10
The first part of the paper reviews applications of 2-spinor methods to relativistic qubits (analogies between tetrads in Minkowski space and 2-qubit states, qubits defined by means of null directions...
Some Effects on Relativistic Quantum Systems Due to a Weak Gravitational Field
Relativistic Quantum Systems a Weak Gravitational Field
2010/10/18
We study the behaviour of relativistic quantum particles in the space-time generated by a moving mass current, in the weak field approximation. We solve the Dirac equation in this gravitational field ...