On the time evolution automorphisms of the CCR-algebra for quantum mechanics

1974 ◽  
Vol 35 (3) ◽  
pp. 257-264 ◽  
Author(s):  
M. Fannes ◽  
A. Verbeure
Keyword(s):  
Quantum Mechanics ◽  
Time Evolution ◽  
Ccr Algebra

scholarly journals Atomistic and Kinetic Simulations of Radiation Damage in Molybdenum

2012 ◽  
Vol 1444 ◽  
Author(s):  
Zeke Insepov ◽  
Jeffrey Rest ◽  
Abdellatif M. Yacout ◽  
Bei Ye ◽  
Di Yun ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Quantum Mechanics ◽  
Ab Initio ◽  
Time Evolution ◽  
Rate Constants ◽  
Diffusion Coefficients ◽  
Radiation Defects ◽  
Dislocation Loops ◽  
Kinetic Coefficients ◽  
Small Clusters

ABSTRACTA new Mo potential, developed recently by using an ab initio quantum mechanics theory, was used to study formation and time evolution of radiation defects, such as self-interstitial atoms (SIAs), vacancies, and small clusters of SIAs, using molecular dynamics (MD). MD models were developed for calculation of the diffusion coefficients of vacancies, self-interstitials, and small dislocation loops containing 2 to 37 SIAs; and the rate constants were calculated. Interactions of small SIA loops with SIAs were simulated. The results show that rotation of SIA from one <111> to another equivalent direction is an important mechanism that significantly contributes to kinetic coefficients.

QUANTUM DEFORMATIONS OF QUANTUM MECHANICS

1993 ◽  
Vol 08 (01) ◽  
pp. 89-96 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Time Evolution ◽  
Function Space ◽  
Scalar Product ◽  
Hypergeometric Functions ◽  
Quantum Mechanical ◽  
Basic Hypergeometric Functions ◽  
Quantum Deformations ◽  
The One

Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases. A formulation of quantum mechanics for qk=1 is given and the dynamics for the free Hamiltonian is studied. For 0<q<1 we develop a deformation of quantum mechanics and the cases of the free Hamiltonian and the one with a x2-potential are solved in terms of basic hypergeometric functions.

scholarly journals The irreversible quantum

2014 ◽  
Vol 12 (01) ◽  
pp. 1550013 ◽  
Author(s):  
P. Fernández de Córdoba ◽  
J. M. Isidro ◽  
Milton H. Perea ◽  
J. Vazquez Molina
Keyword(s):  
Quantum Mechanics ◽  
Time Evolution ◽  
Semiclassical Approximation ◽  
Irreversible Thermodynamics ◽  
Quantum Mechanical ◽  
Linear Regime ◽  
Dual Theory ◽  
Emergent Phenomenon

We elaborate on the existing notion that quantum mechanics is an emergent phenomenon, by presenting a thermodynamical theory that is dual to quantum mechanics. This dual theory is that of classical irreversible thermodynamics. The linear regime of irreversibility considered here corresponds to the semiclassical approximation in quantum mechanics. An important issue we address is how the irreversibility of time evolution in thermodynamics is mapped onto the quantum-mechanical side of the correspondence.

scholarly journals Quantum Statistics in Cylindrical Time-evolution of Electrons and Physical Reality

2020 ◽  
Vol 36 (3) ◽  
Author(s):  
Vo Van Thuan ◽  
Dao Dinh Duc
Keyword(s):  
Quantum Mechanics ◽  
Plane Wave ◽  
Minkowski Space ◽  
Time Evolution ◽  
Physical Reality ◽  
Space Time ◽  
Quantum Mechanical ◽  
Minkowski Space Time ◽  
Short Time ◽  
Physical Quantities

Due to helical cylindrical time-evolution of electrons the mankind observation at a quantum mechanical scale depends on synchronization between observers and their surrounding cosmological medium by collective dynamics. From one side, the synchronization leads to linearization of an embedded 4D space-time reminiscent of the flat Minkowski space-time. From another side, variation of the synchronization due to independent proper plane wave oscillations of each electron being constrained in a short time quantized period, implies that there only statistical averaged physical quantities are observable, which is in consistency with statistical indeterministic concept of traditional quantum mechanics.

Time evolution in quantum mechanics on the quantum line

1992 ◽  
Vol 163 (1-2) ◽  
pp. 1-4 ◽  
Author(s):  
Marcelo R. Ubriaco
Keyword(s):  
Quantum Mechanics ◽  
Time Evolution

Time-Evolution as an Operator in Hilbert Spaces with Applications in Quantum Mechanics

2014 ◽  
Vol 10 (2) ◽  
pp. 60-69
Author(s):  
Dr. A. K Choudhary ◽  
◽  
S Musa ◽  
S. M Nengem ◽  
Dr. S. K Choudhary
Keyword(s):  
Quantum Mechanics ◽  
Time Evolution ◽  
Hilbert Spaces
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