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Contradiction of the DENSITY MATRIX notion in quantum mechanics
Contradiction of the DENSITY MATRIX notion quantum mechanics General Physics
2012/4/19
It is shown that description of a nonpolarized neutron beam by density matrix is contradictory. Density matrix is invariant with respect to choice of quantization axis, while experimental devices can ...
Derivation of the Schrodinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
Derivation of the Schrodinger equation Hamilton-Jacobi equation Feynman's path integral formulation of quantum mechanics
2012/4/19
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
Quantum Mechanics versus Special Relativity: A forgotten conflict
quantum mechanics special relativity quantum collapse quantum entanglement space-time causation separability locality non-locality asymptotic independence
2011/9/6
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...
Supersymmetric Quantum Mechanics with Reflections
supersymmetric quantum mechanics Dunkl and reflection operators Scarf potential little-1 Jacobi polynomials
2011/9/22
Abstract: We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I pote...
Elementary Considerations on the Interpretation of the Foundations of Quantum Mechanics
Elementary Considerations Interpretation the Foundations Quantum Mechanics
2011/8/5
Abstract: This paper appeared in a collection of papers titled "Scientific Papers Presented to Max Born on his retirement from the Tait Chair of Natural Philosophy in the University of Edinburgh", pub...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics Quantum Physics
2011/7/28
Abstract: Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a ...
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...
Time separation as a hidden variable to the Copenhagen school of quantum mechanics
hidden variable Copenhagen school
2010/12/27
The Bohr radius is a space-like separation between the proton and electron in the hydrogen atom. According to the Copenhagen school of quantum mechanics, the proton is sitting in the absolute Lorentz ...
We derive Fourier's law for a completely coherent quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference....
Entropy production and equilibration in Yang-Mills quantum mechanics
Entropy production equilibration Yang-Mills quantum mechanics
2011/1/6
The Husimi distribution provides for a coarse grained representation of the phase space distribution of a quantum system.
Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
Numerical approach to SUSY quantum mechanics gauge/gravity duality
2011/1/14
We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative
aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum
mechanics in the context ...
The Disconnect Between Quantum Mechanics and Gravity
Disconnect Quantum Mechanics Gravity
2010/12/21
There is a serious disconnect between quantum theory and gravity. It occurs at the level of the very foundations of quantum theory, and is far deeper than just the matter of trying to quantize a non-l...
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms
Derivation Quantum Mechanics Information-Theoretic Axioms
2010/11/8
Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements. Axioms I,...
The quantum vacuum: an interpretation of quantum mechanics
The quantum vacuum interpretation quantum mechanics
2010/11/8
We assume that particles are point-like objects even when not observed. We report on the consequences of our assumption within the realm of quantum theory. An important consequence is the necessity of...
Determinism and Quantum Mechanics : some proposed tests
Determinism Quantum Mechanics proposed tests
2010/11/8
Can the ancient, philosophical concept of determinism be formally translated into a scientific hypothesis, and finally be confronted with experiments? Are deterministic predictions, as expected, in c...