The Experts below are selected from a list of 222 Experts worldwide ranked by ideXlab platform
Artit Hutem - One of the best experts on this subject based on the ideXlab platform.
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excited state Energy Eigenvalue evaluation of the quantum mechanical potential v x mω2x2 μx3 via numerical shooting method
Applied Mechanics and Materials, 2016Co-Authors: Nonglux Sriboonrueang, Sanit Suwanwong, Artit HutemAbstract:The paper deals with Eigenvalues excited-state Energy Eigenvalues and wave-function of a particle under harmonics oscillator asymmetric potential using numerical shooting method. The numerical shooting method is generally regarded as one of the most efficient methods that give very accurate results because it integrates the Schrodinger equation directly, though in the numerical sense. If the value of parameter μ is small the Energy Eigenvalues of single particle will large and the parameter μ large the Energy Eigenvalues of single particle will small.
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Excited-State Energy Eigenvalue Evaluation of the Quantum Mechanical Potential V(x)=½mω2x2+μx3 via Numerical Shooting Method
Applied Mechanics and Materials, 2016Co-Authors: Nonglux Sriboonrueang, Sanit Suwanwong, Artit HutemAbstract:The paper deals with Eigenvalues excited-state Energy Eigenvalues and wave-function of a particle under harmonics oscillator asymmetric potential using numerical shooting method. The numerical shooting method is generally regarded as one of the most efficient methods that give very accurate results because it integrates the Schrodinger equation directly, though in the numerical sense. If the value of parameter μ is small the Energy Eigenvalues of single particle will large and the parameter μ large the Energy Eigenvalues of single particle will small.
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Excited-state Energy Eigenvalue and wave-function evaluation of the Gaussian asymmetric double-well potential problem via numerical shooting method 2
Journal of Mathematical Chemistry, 2012Co-Authors: Sutee Boonchui, Artit HutemAbstract:This project aims at computation excited-state Energy Eigenvalues and wave-function of a particle under Gaussian asymmetric double-well potential using numerical shooting method and perturbation theory a method to deal with discrete-Eigenvalue problems. We also compare the Energy Eigenvalue and wave-function with those obtained from other typical means popular among physics students, namely the numerical shooting method and perturbation theory. Show that the idea of program of the numerical shooting method and perturbation theory of this problem (see Sects. 2.1 and 4) The numerical shooting method is generally regarded as one of the most efficient methods that give very accurate results because it integrates the Schrödinger equation directly, though in the numerical sense. The n = even case is shown in Figs. 4, 5 and 6. In this case, the wave-function has split up on asymmetric nodes under Gaussian asymmetric double-well potential. The n = odd case is shown in Fig. 7. In this case, the wave-function has not split up on asymmetric nodes under Gaussian asymmetric double-well potential.
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excited state Energy Eigenvalue and wave function evaluation of the gaussian symmetric double well potential problem via numerical shooting method 1
Journal of Mathematical Chemistry, 2012Co-Authors: Sutee Boonchui, Artit HutemAbstract:This work aims at computing excited-state Energy Eigenvalues and wave-function of a particle under Gaussian symmetric double-wells potential using numerical shooting method and perturbation theory a method to deal with discrete-Eigenvalue problems. We also compare the Energy Eigenvalue and wave-function with those obtained from other typical means popular among physics students, namely the numerical shooting method and perturbation theory. Show that the idea of program of the numerical shooting method and perturbation theory of this problem (see Sects. 2.2 and 3). The numerical shooting method is generally regarded as one of the most efficient methods that give very accurate results because it integrates the Schrodinger equation directly, though in the numerical sense. The n = even case is shown in Fig. 5. In this case, the wave-function has split up on symmetric nodes under Gaussian symmetric double-well potential.
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ground state Energy Eigenvalue calculation of the quantum mechanical well v x frac 1 2 kx 2 lambda x 4 via analytical transfer matrix method
European Journal of Physics, 2008Co-Authors: Artit Hutem, Chanun SricheewinAbstract:We consider a fundamental quantum mechanical bound-state problem in the form of the quartic-well potential . The analytical transfer matrix method is applied. This yields a quantization condition from which we can calculate the phase contributions and ground-state Energy Eigenvalues numerically. We also compare the results with those obtained from other typical means popular among physics students, namely the numerical shooting method, perturbation theory and the standard WKB method.
Vladislav Belous - One of the best experts on this subject based on the ideXlab platform.
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Reference potential approach to the Energy Eigenvalue problem of a rotating diatomic molecule
Chemical Physics Letters, 2008Co-Authors: M. Selg, Vladislav BelousAbstract:Abstract A two-stage analytical–numerical method is described, which enables to accurately solve the Energy Eigenvalue problem of a rotating oscillator. First, using a simple analytic algorithm, one constructs reliable Morse approximants to all rotational–vibrational states of the given effective potential. Thereafter, the Schrodinger equation is transformed into an equivalent pair of coupled first-order differential equations (Gordon equations), which are solved numerically. Integration step h = 0.05 A is sufficient to ensure at least 6-digit accuracy for all Energy levels of the examined model potential for H2 molecule.
R. W. Robinett - One of the best experts on this subject based on the ideXlab platform.
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Wave packet revivals and the Energy Eigenvalue spectrum of the quantum pendulum
Annals of Physics, 2003Co-Authors: Michael A. Doncheski, R. W. RobinettAbstract:Abstract The rigid pendulum, both as a classical and as a quantum problem, is an interesting system as it has the exactly soluble harmonic oscillator and the rigid rotor systems as limiting cases in the low- and high-Energy limits, respectively. The Energy variation of the classical periodicity ( τ ) is also dramatic, having the special limiting case of τ →∞ at the ‘top’ of the classical motion (i.e., the separatrix.) We study the time-dependence of the quantum pendulum problem, focusing on the behavior of both the (approximate) classical periodicity and especially the quantum revival and superrevival times, as encoded in the Energy Eigenvalue spectrum of the system. We provide approximate expressions for the Energy Eigenvalues in both the small and large quantum number limits, up to fourth order in perturbation theory, comparing these to existing handbook expansions for the characteristic values of the related Mathieu equation, obtained by other methods. We then use these approximations to probe the classical periodicity, as well as to extract information on the quantum revival and superrevival times. We find that while both the classical and quantum periodicities increase monotonically as one approaches the ‘top’ in Energy, from either above or below, the revival times decrease from their low- and high-Energy values until very near the separatrix where they increase to a large, but finite value.
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Periodic orbit theory analysis of the circular disk or annular billiard: Nonclassical effects and the distribution of Energy Eigenvalues
American Journal of Physics, 1999Co-Authors: R. W. RobinettAbstract:Periodic orbit (PO) theory can be used to make connections between the quantum Energy Eigenvalue spectrum and the closed orbits of the corresponding classical system. The two-dimensional annular billiard or circular disk system (namely, a particle in the plane confined between inner and outer infinite circular walls at fR≡Rin
M. Selg - One of the best experts on this subject based on the ideXlab platform.
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Reference potential approach to the Energy Eigenvalue problem of a rotating diatomic molecule
Chemical Physics Letters, 2008Co-Authors: M. Selg, Vladislav BelousAbstract:Abstract A two-stage analytical–numerical method is described, which enables to accurately solve the Energy Eigenvalue problem of a rotating oscillator. First, using a simple analytic algorithm, one constructs reliable Morse approximants to all rotational–vibrational states of the given effective potential. Thereafter, the Schrodinger equation is transformed into an equivalent pair of coupled first-order differential equations (Gordon equations), which are solved numerically. Integration step h = 0.05 A is sufficient to ensure at least 6-digit accuracy for all Energy levels of the examined model potential for H2 molecule.
Chanun Sricheewin - One of the best experts on this subject based on the ideXlab platform.
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ground state Energy Eigenvalue calculation of the quantum mechanical well v x frac 1 2 kx 2 lambda x 4 via analytical transfer matrix method
European Journal of Physics, 2008Co-Authors: Artit Hutem, Chanun SricheewinAbstract:We consider a fundamental quantum mechanical bound-state problem in the form of the quartic-well potential . The analytical transfer matrix method is applied. This yields a quantization condition from which we can calculate the phase contributions and ground-state Energy Eigenvalues numerically. We also compare the results with those obtained from other typical means popular among physics students, namely the numerical shooting method, perturbation theory and the standard WKB method.
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ground state Energy Eigenvalue calculation of the quantum mechanical well v x 1 2 kx 2 lambda x 4 via analytical transfer matrix method
arXiv: Other Condensed Matter, 2007Co-Authors: Artit Hutem, Chanun SricheewinAbstract:The analytical transfer matrix technique is applied to the Schr\"{o}dinger equation of symmetric quartic-well potential problem in the form $V(x)={1/2}kx^{2}+\lambda{x^{4}}.$ This gives quantization condition from which we can calculate the ground-state Energy Eigenvalues numerically. We also compare the results with those obtained from numerical shooting method, perturbation theory, and WKB method.