Study about Forced Harmonic Oscillator in the Space (x, v) | Chapter 1 | Fundamental Research and Application of Physical Science Vol. 9

 The time-helpless Schrödinger equation is a mainstay of quantum physics and rule all phenomena of the microscopic planet. However, despite allure importance, allure origin is still not widely acknowledged and properly implicit. The quantization of the forced harmonious oscillator is studied with the quantity variable (x , v) , accompanying the commutation connection [x, v] =ih/m  , and using a Schrödinger’s like equating on these variable, and mixing a linear operator to a nonstop of motion K(x , v , t) of the classical whole, The comparison accompanying the quantization in the space (x , p) is accomplished the usual Schrödinger’s equating for the Hamiltonian H (x, p, t), and with the substitution relation [x,p] = ih. It is found that for the non-ringing case, both forms of quantization cause success the same result. The distinctness means that the H-approach case causes success more complex demeanor in the quantum dynamics than the K-approach case, what the H-approach case losses more news than the K-approach case.However, for the resonant case, two together forms of quantization are different, and the possibility for the system expected in the exited state for the (x, v) quantization has hardly any oscillations than the (x,p) quantization, the average energy of the system is greater in (x , p) quantization than on the (x , v) quantization, and the Boltzmann- Shannon entropy on the (x, p) quantization is above on the (x, v) quantization. The parameter does not give the impression suitable for exploratory measurement cause the variation in the average value of the strength is quite shy. Entropy is a nice limit to investigate tentatively because it clashes significantly.

Author(s) Details:

Gustavo V. López,
Departamento de Fisica, Universidad de Guadalajara, Blvd. Marcelino Garcia Barragan y Calzada Olimpica, Guadalajara, Jalisco, Mexico.

Omar J. P. Bravo,
Departamento de Fisica, Universidad de Guadalajara, Blvd. Marcelino Garcia Barragan y Calzada Olimpica, Guadalajara, Jalisco, Mexico.

Please see the link here: https://stm.bookpi.org/FRAPS-V9/article/view/11758