scholarly journals QUANTUM MECHANICAL TREATMENT OF A DAMPED HARMONIC OSCILLATOR

1980 ◽  
Vol 29 (8) ◽  
pp. 1084
Author(s):  
PENG HUAN-WU
Keyword(s):  
Harmonic Oscillator ◽  
Mechanical Treatment ◽  
Quantum Mechanical ◽  
Damped Harmonic Oscillator ◽  
Quantum Mechanical Treatment

A concise quantum mechanical treatment of the forced damped harmonic oscillator

Open Physics ◽  
2008 ◽  
Vol 6 (4) ◽  
Author(s):  
Ti Li
Keyword(s):  
Harmonic Oscillator ◽  
Mechanical Treatment ◽  
Classical Mechanics ◽  
Quantum Mechanical ◽  
External Influence ◽  
Classical Motion ◽  
Damped Harmonic Oscillator ◽  
Classical Energy ◽  
Quantum Mechanical Treatment ◽  
Generalized Coordinate

AbstractBy selecting a right generalized coordinate X, which contains the general solutions of the classical motion equation of a forced damped harmonic oscillator, we obtain a simple Hamiltonian which does not contain time for the oscillator such that Schrödinger equation and its solutions can be directly written out in X representation. The wave functin in x representation are also given with the help of the eigenfunctions of the operator $$ \hat X $$ in x representation. The evolution of $$ \left\langle {\hat x} \right\rangle $$ is the same as in the classical mechanics, and the uncertainty in position is independent of an external influence; one part of energy mean is quantized and attenuated, and the other is equal to the classical energy.

scholarly journals IMPLICATIONS OF A QUANTUM MECHANICAL TREATMENT OF THE UNIVERSE

1998 ◽  
Vol 13 (05) ◽  
pp. 347-351 ◽  
Author(s):  
MURAT ÖZER
Keyword(s):  
Quantum Mechanics ◽  
Wave Packet ◽  
Early Universe ◽  
Mechanical Treatment ◽  
Correspondence Principle ◽  
Scale Factor ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment ◽  
The Standard Model ◽  
The Universe

We attempt to treat the very early Universe according to quantum mechanics. Identifying the scale factor of the Universe with the width of the wave packet associated with it, we show that there cannot be an initial singularity and that the Universe expands. Invoking the correspondence principle, we obtain the scale factor of the Universe and demonstrate that the causality problem of the standard model is solved.

Quantum-mechanical treatment of the Skyrme Lagrangean, and a new mass term

1987 ◽  
Vol 58 (7) ◽  
pp. 651-653 ◽  
Author(s):  
K. Fujii ◽  
K-I. Sato ◽  
N. Toyota ◽  
A. P. Kobushkin
Keyword(s):  
Mechanical Treatment ◽  
Mass Term ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment

On the quantum mechanical treatment of solvent effects

1980 ◽  
Vol 55 (4) ◽  
pp. 307-318 ◽  
Author(s):  
Bernard Theodoor Thole ◽  
Petrus Theodorus Duijnen
Keyword(s):  
Solvent Effects ◽  
Mechanical Treatment ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment
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