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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 ...
Information geometry and the hydrodynamical formulation of quantum mechanics
Information geometry the hydrodynamical formulation quantum mechanics Differential Geometry
2012/4/18
Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M.
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...
Quantum Mechanics Rate Constant for the N+ND Reaction
Nonadiabatic quantum dynamical calculation N+ND→N2+D reaction Rate constant
2012/4/5
We present nonadiabatic quantum dynamical calculations on the two coupled potential en-ergy surfaces (12A′ and 22A′) [J. Theor. Comput. Chem. 8, 849 (2009)] for the reaction. Initial state-resolved re...
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...
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.
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...
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...
The Universal Arrow of Time II: Quantum mechanics case
Quantum mechanics The Universal Arrow of Time chaotic macroscopic systems classical Hamilton mechanics
2011/7/7
The given paper is natural continuation of our previous paper arXiv:1011.4173 We have illustrated earlier, that in the classical Hamilton mechanics for an overwhelming majority of real chaotic macrosc...
Supersymmetric Quantum Mechanics For Atomic Electronic Systems
Supersymmetric Quantum Mechanics Atomic Electronic Systems
2011/9/15
We employ our new approach to non-relativistic supersymmetric quantum mechanics (SUSYQM),(J. Phys. Chem. A 114, 8202(2010)) for any number of dimensions and distinguishable particles, to treat the hyd...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics quantum eigenvalue equations gauge invariant
2011/7/7
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 one dimens...
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...
The interpretation of quantum mechanics and of probability: Identical role of the 'observer'
quantum mechanics probability
2011/9/14
The aim of the article is to argue that the interpretations of quantum mechanics and of probability are much closer than usually thought. Indeed, a detailed analysis of the concept of probability (wit...