Analisis Energi Osilator Harmonik Menggunakan Metode Path Integral Hypergeometry dan Operator

Solution of the harmonic oscillator equation has a goal to get the energy levels of particles moving harmonic. The energy spectrums of one dimensional harmonic oscillator are analyzed by 3 methods: path integral, hypergeometry and operator. Analysis of the energy spectrum by path integral method is examined with Schrodinger equation. Analysis of the energy spectrum by operator method is examined by Hamiltonian in operator. Analysis of harmonic oscillator energy by 3 methods: path integral, hypergeometry and operator are getting same results 𝐸 = ℏ𝜔 (𝑛 + 1 2)

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JOINT ENTROPY OF THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT MASS AND/OR FREQUENCY

International Journal of Modern Physics B ◽

10.1142/s021797920905256x ◽

2009 ◽

Vol 23 (11) ◽

pp. 2449-2461 ◽

Cited By ~ 2

Author(s):

ETHEM AKTÜRK ◽

ÖZGÜR ÖZCAN ◽

RAMAZAN SEVER

Keyword(s):

Wave Function ◽

Harmonic Oscillator ◽

Path Integral ◽

Integral Method ◽

Time Dependent ◽

Joint Entropy ◽

Feynman Path Integral ◽

Feynman Path ◽

Path Integral Method ◽

Dependent Mass

Time-dependent joint entropy is obtained for harmonic oscillator with the time-dependent mass and frequency case. It is calculated by using time-dependent wave function obtained via Feynman path integral method. Variation of time dependence is investigated for various cases.

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Evaluation of Density Matrix and Helmholtz Free Energy for Harmonic Oscillator Asymmetric Potential via Feynmans Approach

Advances in Physical Chemistry ◽

10.1155/2014/912054 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 2

Author(s):

Piyarut Moonsri ◽

Artit Hutem

Keyword(s):

Free Energy ◽

Kinetic Energy ◽

Density Matrix ◽

Harmonic Oscillator ◽

Path Integral ◽

Integral Method ◽

Helmholtz Free Energy ◽

Unit Length ◽

Bloch Equation ◽

Path Integral Method

We apply a Feynmans technique for calculation of a canonical density matrix of a single particle under harmonic oscillator asymmetric potential and solving the Bloch equation of the statistical mechanics system. The density matrix (P^u) and kinetic energy per unit length (τ^L) can be directly evaluated from the solving solutions. From the evaluation, it was found that both of the density matrix and kinetic energy per unit length depended on the parameter of the value of asymmetric potential (λ), the value of axes-shift potential (g), and temperature (T). Comparison of the Helmholtz free energy was derived by the Feynmans technique and the path-integral method. The results illustrated are slightly different.

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Double path integral method for obtaining the mobility of the one-dimensional charge transport in molecular chain

The European Physical Journal E ◽

10.1140/epje/i2015-15135-y ◽

2015 ◽

Vol 38 (12) ◽

Author(s):

Sikarin Yoo-Kong ◽

Watchara Liewrian

Keyword(s):

Charge Transport ◽

Path Integral ◽

Integral Method ◽

Molecular Chain ◽

One Dimensional ◽

Path Integral Method ◽

The One

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Quantum Effect in the Mesoscopic Open Electron Resonator

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.130-134.3259 ◽

2011 ◽

Vol 130-134 ◽

pp. 3259-3262

Author(s):

Zhan Yuan Yan ◽

Zhi Cheng Liu ◽

Pan Zhao

Keyword(s):

Energy Spectrum ◽

Path Integral ◽

Integral Method ◽

Uncertainty Relation ◽

Quantum Effect ◽

Research Work ◽

Quantum Fluctuations ◽

Wave Functions ◽

Path Integral Method ◽

Open Electron

In the framework of regularization process for quantization, the mesoscopic openelectronresonator is quantized using Feynman’s path integral method. With a Gaussian type propagator, the energy spectrum and wave functions are calculated. As an application of the results, the quantum fluctuations and uncertainty relation are discussed. The detailed formulation of energy spectrum and wave functions would be benefit to the further research work of the system.

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The path integral method and the large quantum number behaviour of the energy levels of coupled anharmonic oscillators

Physics Letters A ◽

10.1016/0375-9601(79)90090-2 ◽

1979 ◽

Vol 73 (5-6) ◽

pp. 380-382 ◽

Cited By ~ 2

Author(s):

S.K. Bose ◽

D.N. Tripathy

Keyword(s):

Quantum Number ◽

Path Integral ◽

Integral Method ◽

Energy Levels ◽

Anharmonic Oscillators ◽

Path Integral Method ◽

Large Quantum ◽

Large Quantum Number

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Schrödinger equation of a particle in a uniformly accelerated frame and the possibility of a new kind of quanta

Modern Physics Letters A ◽

10.1142/s0217732315501825 ◽

2015 ◽

Vol 30 (38) ◽

pp. 1550182 ◽

Cited By ~ 5

Author(s):

Sanchari De ◽

Sutapa Ghosh ◽

Somenath Chakrabarty

Keyword(s):

Exact Solution ◽

Hydrogen Atom ◽

Schrödinger Equation ◽

Harmonic Oscillator ◽

Schrodinger Equation ◽

Energy Levels ◽

Minkowski Spacetime ◽

Quantum Harmonic Oscillator ◽

One Dimensional ◽

Spacetime Geometry

In this paper, we have developed a formalism to obtain the Schrödinger equation for a particle in a frame undergoing a uniform acceleration in an otherwise flat Minkowski spacetime geometry. We have presented an exact solution of the equation and obtained the eigenfunctions and the corresponding eigenvalues. It has been observed that the Schrödinger equation can be reduced to a one-dimensional hydrogen atom problem. Whereas, the quantized energy levels are exactly identical with that of a one-dimensional quantum harmonic oscillator. Hence, considering transitions, we have predicted the existence of a new kind of quanta, which will either be emitted or absorbed if the particles get excited or de-excited, respectively.

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