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S-linear operators in quantum mechanics and in economy
linear operator ]tempered distribution basis linear superposition linear independence system of coordinates
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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
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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
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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
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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
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2010/10/13
Some conceptual issues involving probability in quantum mechanics.
Is Supersymmetric Quantum Mechanics compatible with Duality
Supersymmetric Quantum Mechanics Duality
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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
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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
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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
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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
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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...
Study Hankel Transforms and Properties of Bessel Function via Entangled State
Representation Transformation in Quantum Mechanics
entangled state representation Hankel transform Bessel function
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2007/8/15
2006Vol.45No.5pp.819-824DOI:
Study Hankel Transforms and Properties of Bessel Function via Entangled State
Representation Transformation in Quantum Mechanics
FAN Hong-Yi1,2 and W...
Quantum Mechanics Version of Wavelet Transform Studied by
Virtue of IWOP Technique
wavelet transform IWOP technique squeezing-displacing
operator
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2007/8/15
2004Vol.41No.5pp.681-684DOI:
Quantum Mechanics Version of Wavelet Transform Studied by
Virtue of IWOP Technique
FAN Hong-Yi1,2 and LÜ Jian-Feng1
1 Department of Phy...
Classical Mechanics and Quantum Mechanics
classical mechanics quantum mechanics
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2007/8/15
2004Vol.41No.5pp.685-688DOI:
Classical Mechanics and Quantum Mechanics
REN De-Ming
Department of Physics, Peking University, Beijing 100087, China
(Received:
...
On Quantum Mechanics on Noncommutative Quantum Phase Space
noncommutative space quantum mechanics Moyal product
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2007/8/15
2004Vol.41No.6pp.837-844DOI:
On Quantum Mechanics on Noncommutative Quantum Phase Space
A.E.F. Djemaï1 and H. Smail2
1 Abdus Salam International Centre for Theoreti...
Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems
Pseudo-Hermitian quasi-Hermitian metric operator observable two-level system
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2010/4/9
We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators h+, and h+-pseudo-Hermitian operators acting in C2. The latter represent the physic...