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Relativistic Quantum and Classical Mechanics in the Hilbert Space
Relativistic Quantum Classical Mechanics the Hilbert Space
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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
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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.
Unstable particles in non-relativistic quantum mechanics?
non-relativistic quantum mechanics Unstable particles Quantum Physics
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2011/7/26
Abstract: The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of stat...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
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2011/1/14
We show how interpenetrating optical lattices containing Bose-Fermi mixtures can be constructed
to emulate the thermodynamics of quantum electrodynamics (QED). We present models of neutral
atoms on ...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
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2010/11/24
We show how interpenetrating optical lattices containing Bose-Fermi mixtures can be constructed
to emulate the thermodynamics of quantum electrodynamics (QED). We present models of neutral
atoms on ...
Timeless path integral for relativistic quantum mechanics
Timeless path relativistic quantum mechanics
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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
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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
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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 ...