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Quantum Mechanics versus Special Relativity: A forgotten conflict
quantum mechanics quantum entanglement causation separability locality
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2011/9/7
Despite the widespread assumptions on the compatibility between non-relativistic quantum mechanics and special relativity, there still remains a considerable amount of unresolved problems to which few...
Is Quantum Mechanics An Island in Theoryspace?
quantum computing nonlinear quantum mechanics origins quantum measurement rule
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2011/9/7
This paper investigates what happens if we change quantum mechanics in several ways. The main results are as follows. First, if we replace the 2-norm by some other p-norm, then there are no nontrivial...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics fundamental graininess and chaos correspondence principle
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2010/10/21
The aim of this paper is to review the classical limit of Quantum Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introduc...
Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
Classical Quantum Fisher Information Geometrical Formulation Quantum Mechanics
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2010/10/21
The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrical
formulation of qu...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
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2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
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2010/10/27
Two different approaches are formulated to analyze two-dimensional quantum
models which are not amenable to standard separation of variables. Both methods are essentially
based on supersymmetrical s...
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
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2010/12/15
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
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2010/10/19
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices. Taking a more general categorical perspective ...
Phase Space Quantum Mechanics
quantum mechanics deformation quantization Hilbert space quantum distribution function
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2010/10/21
The paper review and develop the alternative formulation of quantum mechanics known as the phase space quantum mechanics or deformation quantization. It is shown that the quantization naturally arises...
Principles of Fractional Quantum Mechanics
Principles Fractional Quantum Mechanics
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2010/10/27
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
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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...
Foundations of quantum mechanics: decoherence and interpretation
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2010/10/18
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 ...
Principles of Fractional Quantum Mechanics
Principles Fractional Quantum Mechanics
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2010/12/14
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
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2010/12/16
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.
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
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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...