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A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
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...
In this paper we review Castagnino’s contributions to the foundations of quantum mechanics. First, we recall his work on quantum decoherence in closed systems, and the proposal of a general framework ...
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/10/21
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics. In this paper the exten...
Quantum mechanics, by itself, implies perception of a classical world
Quantum mechanics implies perception classical world
2010/10/21
Quantum mechanics, although highly successful, has two peculiarities. First, in many situations it gives more than one potential version of reality. And second, the wave function for a macroscopic obj...
Basic quantum mechanics for three Dirac equations in a curved spacetime
Dirac equation gravitation current conservation Hermitian Hamiltonian tensor representation
2010/6/30
We study the basic quantum mechanics for a fully general set of Dirac matrices in a curved spacetime by extending Pauli’s method. We further extend this study to three versions of the Dirac equation: ...
The effect of nonlinear friction forces in quantum mechanics is studied via dissipative Madelung hydrodynamics. A new thermo-quantum diffusion equation is derived, which is solved for the particular c...
Physicists in Canada and Australia have shown that nature exploits quantum mechanics to make photosynthesis more efficient. By probing light-harvesting proteins within algae using laser beams, the res...
Neutrino oscillations: Quantum mechanics vs. quantum field theory
Neutrino oscillations Quantum mechanics
2010/3/15
A consistent description of neutrino oscillations requires either the quantum-mechanical (QM) wave packet approach or a quantum field theoretic (QFT) treatment. We compare these two approaches to neut...
Wavelets offer significant advantages for the analysis of problems in quantum mechanics. Because wavelets are localized in both time and frequency they avoid certain subtle but potentially fatal conce...
The basic paradoxes of statistical classical physics and the quantum mechanics
Observable Dynamics Idel Dynamics Unpredictable Dynamics self-knowledge correlations
2010/4/7
The statistical classical mechanics and the quantum mechanics are two developed and well-known theories. The described two theories are known and well studied for a long time. Nevertheless, they conta...
Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
Cliff ord algebra supersymmetric quantum mechanics deformation quantization Wigner functions Jaynes-Cummings models
2010/4/13
In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal sta...
The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrodinger equations on noncommutative (NC) space we obtain the Landau energy levels and the energy cor...
One World, One Reality, and the Everett Relaltive State Interpretation of Quantum Mechanics
Foundations of Quantum Mechanics Many worlds Measurement theory Interpretation of Quantum Mechanics
2010/4/12
We modify the Relative State Interpretation (RSI) of Quantum Mechanics so that it does not imply many worlds and parallel realities. We drop the assumption that probability amplitudes correspond one-t...
Problems with Probability in Everett's Interpretation of Quantum Mechanics
Probability Everett's Interpretation Quantum Mechanics
2010/4/8
In the many-worlds interpretations (MWIs) of Everett and others, if I am the observer, there are several versions of me but no version is singled out as the one corresponding to my perceptions. Howeve...