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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...
A Euclidean formulation of relativistic quantum mechanics
relativistic quantum mechanics Euclidean formulation
2011/7/20
In this paper we discuss a formulation of relativistic quantum mechanics that uses Euclidean Green functions or generating functionals as input.
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.
PT symmetry in relativistic quantum mechanics
PT symmetry relativistic quantum mechanics High Energy Physics - Theory
2011/9/29
Abstract: In nonrelativistic quantum mechanics and in relativistic quantum field theory, time t is a parameter and thus the time-reversal operator T does not actually reverse the sign of t. However, i...
Unstable particles in non-relativistic quantum mechanics?
non-relativistic quantum mechanics Unstable particles Quantum Physics
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...
Relativistic quantum theory of high harmonic generation on atoms/ions by strong laser fields
atoms/ions strong laser fields high harmonic generation
2011/9/1
High-order harmonic generation (HHG) by hydrogenlike atoms/ions in the uniform periodic electric field, formed by the two linearly polarized counterpropagating laser beams of relativistic intensities,...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
2011/1/7
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 la...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
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
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
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 ...