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On a Geometrical Description of Quantum Mechanics
Geometrical Description Quantum Mechanics
2010/4/13
We show that Quantum Mechanics can be interpreted as a modification of the Euclidean nature of 3-d space into a particular Weyl affine space which we call Q-wis. This is proved using the Bohm-de Brogl...
Quantum Mechanics of Successive Measurements with Arbitrary Meter Coupling
Quantum Mechanics Successive Measurements Arbitrary Meter Coupling
2010/4/9
We study successive measurements of two observables using von Neumann's measurement model. The two-pointer correlation for arbitrary coupling strength allows retrieving the initial system state. We re...
We propose a quantization of linear, volume preserving, maps on the discrete and finite 3-torus T_N^3 represented by elements of the group SL(3,Z_N). These flows can be considered as special motions o...
Overview of the structural unification of quantum mechanics and relativity using the algebra of quantions
structural unification quantum mechanics relativity the algebra of quantions
2010/4/7
The purpose of this contribution is to provide an introduction for a general physics audience to the recent results of Emile Grgin that unifies quantum mechanics and relativity into the same mathemati...
Some fundamental and formal aspects of the quantum dwell time are reviewed, examples for free motion and scattering off a potential barrier are provided, as well as extensions of the concept. We also ...
S-linear operators in quantum mechanics and in economy
linear operator ]tempered distribution basis linear superposition linear independence system of coordinates
2009/1/9
In this paper we study the concept of S-linear operator and we show some of
its properties and applications to the foundations of Quantum Mechanics. This
new operators are a generalization of the li...
Proper Versus Improper Mixtures: Towards a Quaternionic Quantum Mechanics
a Quaternionic Quantum Mechanics Improper Mixtures
2010/4/7
The density operators obtained by taking partial traces do not represent proper mixtures of the subsystems of a compound physical system, but improper mixtures, since the coefficients in the convex su...
Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold
Lie-Rinehart algebras Poisson algebras quantization
2010/4/8
The Lie and module (Rinehart) algebraic structure of vector fields of compact support over C infinity functions on a (connected) manifold M define a unique universal non-commutative Poisson * algebra....
Three-Hilbert-Space Formulation of Quantum Mechanics
Three-Hilbert-Space Formulation Quantum Mechanics
2010/4/7
In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present c...
Some conceptual issues involving probability in quantum mechanics
Some conceptual issues probability quantum mechanics
2010/10/13
Some conceptual issues involving probability in quantum mechanics.
Is Supersymmetric Quantum Mechanics compatible with Duality
Supersymmetric Quantum Mechanics Duality
2010/10/15
Is Supersymmetric Quantum Mechanics compatible with Duality.
(3+1)-Dimensional Quantum Mechanics from Monte Carlo Hamiltonian:
Harmonic Oscillator
Monte Carlo method quantum mechanics computational
physics
2007/8/15
2001Vol.36No.1pp.7-10DOI:
(3+1)-Dimensional Quantum Mechanics from Monte Carlo Hamiltonian:
Harmonic Oscillator
LUO Xiang-Qian,1,3 XU Hao,1 YANG Jie-Chao,2 WANG Yu-Li,2 CHANG Di...
Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics
supersymmetric quantum mechanics conditionally exactly soluble
potential SWKB approximation variational method energy level
2007/8/15
2007Vol.47No.2pp.225-228DOI:
Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics
QIAN Shang-Wu,1 MIAO Chun-Hui,1 and GU Zhi-Yu2
...
N=4 Superconformal Quantum Mechanics in One Dimension
and Its Algebraic Structure
supersymmetry conformal
symmetry superconformal algebra
2007/8/15
2002Vol.38No.1pp.11-14DOI:
N=4 Superconformal Quantum Mechanics in One Dimension
and Its Algebraic Structure
RUAN Dong,1,2,3 GUO Hao,1 and SUN Hong-Zhou1,3,4
1 Departmen...
Tripartite Nonlinear Entangled State Representations in Quantum Mechanics
nonlinear entangled state tripartite system
2007/8/15
2006Vol.46No.1pp.46-50DOI:
Tripartite Nonlinear Entangled State Representations in Quantum Mechanics
FAN Hong-Yi1,2 and LI Chao3
1 Department of Physics, Shanghai Jiao T...