共查询到20条相似文献,搜索用时 15 毫秒
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N. Bera J. K. Bhattacharjee S. Mitra S. P. Khastgir 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2008,46(1):41-50
We find the energy levels of a free particle confined in a two
dimensional infinite potential well having super-circular boundary
(|x|n+|y|n=an where n is a rational number and a is a
positive real number) by perturbing about the equivalent circle
(n=2). The ground state energies are very accurate over a wide
range of n and can be improved further by introducing a
phenomenological constant
determined from the knowledge of exact
results available for diamond (n=1). For excited states, we find
that the shape effect can cause parametric resonance which can lead
to singlet-triplet crossing. 相似文献
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《Infrared physics》1990,30(4):363-370
We have evaluated the energy levels of a particle in an infinite potential well containing identical square-potential barriers of equal width and separation, in a symmetric as well as an asymmetric arrangement, as functions of the number and height of the potential barriers. For this purpose we have derived analytical equations for the energy eigenvalues which can be solved with a personal computer. We show plots of the normalized energy levels of particles in potential wells containing up to three identical square-potential barriers with heights varying from zero to infinity. These can be applied to models of inversion and libration of molecules, electronic states in dye molecules, quantum well structures, etc. 相似文献
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The energy levels of a two-dimensional system are calculated for the rational potential,V(x, y; λ, g)=x
2+y
2+λ[x
2/(1+gx
2)+y
2/(1+gy
2)+a
xxx4+a
xyx2
y
2+a
yyy4] using the inner product technique over a wide range of values of the perturbation parameters (g, λ) and for various eigenstates. 相似文献
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研究了一维量子阱中受脉冲驻波场作用的原子的量子运动.利用直接微扰法,给出了该系统的一级近似波函数及能谱随时间的演化规律.通过理论分析和数值计算,得出系统共振的条件,当系统的外加驱动频率ΩD与未受微扰时系统的能级跃迁频率ΩT不遵循此条件时,系统能量的时间演化情形类似于一般KAM系统中所发现的经典混沌的量子抑制.而当ΩD与ΩT满足此要求时,则出现能量的量子共振现象. 相似文献
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《Physics letters. A》2019,383(19):2339-2345
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A new confinement potential for spherical quantum dots, called the modified Gaussian potential (MGP), is studied. In the present work, the following problems are investigated within the effective-mass approximation: (i) the one-electron energy spectra, (ii) wave functions, (iii) the problem of existence of a bound electron state, and (iv) the binding energy of center and off-center hydrogenic donor impurities. For zero angular momentum (l=0), the new confinement potential is sufficiently flexible to obtain analytically the spectral energy and wave functions. The results obtained from the present work show that (i) the new potential is suitable for predicting the spectral energy and wave functions, and (ii) the geometrical sizes of the quantum dot play the important roles on the energy levels, wave functions, the binding energy, and the existence of a bound electron state. 相似文献
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We discuss the escape problem with the consideration of both the activity of particles and the roughness of potentials. We derive analytic expressions for the escape rate of an active Brownian particle in two types of rough potentials by employing the effective equilibrium approach and the Zwanzig method. We find that activity enhances the escape rate, but both the oscillating perturbation and the random amplitude hinder escaping. 相似文献
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Andrei Vladimirovich Nikitin 《Journal of Molecular Spectroscopy》2008,252(1):17-21
The vibrational levels for two isotopic species of methyl chloride have been calculated in the region 0-3500 cm−1 from the ab initio potential energy surface (PES). The isotopic shift of vibrational levels of molecules 12CH335Cl and 12CH337Cl has been calculated. The correlation consistent basis sets cc-pVTZ and cc-pVQZ are employed to calculate energy values for 7957 and 3758 points correspondingly from a large domain of the nine-dimensional internal coordinate space. The analytic global PES is fitted with the standard deviation of 4.5 cm−1. 相似文献
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双原子分子非谐振转波函数和能级 总被引:7,自引:3,他引:4
余春日 《原子与分子物理学报》2005,22(2):276-280
从双原子分子简谐势近似波函数出发,运用微扰理论计算出了双原子分子在非谐振转相互作用下的一级、二级近似能级和一级近似波函数. 相似文献
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K. Bakke 《Physics letters. A》2010,374(46):4642-4249
We obtain the solutions of the Dirac equation when the noninertial effects of the Fermi-Walker reference frame break the relativistic Landau-Aharonov-Casher quantization, but they provide bound states in an analogous way to a Dirac neutral particle subject to Tan-Inkson quantum dot potential [W.-C. Tan, J.C. Inkson, Semicond. Sci. Technol. 11 (1996) 1635]. 相似文献
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Wenfang Xie 《Physics letters. A》2009,373(26):2251-2254
Using the perturbation method, the confined hydrogen atom by a parabolic potential well is investigated. The binding energy of the confined hydrogen atom in a parabolic potential well is calculated as a function of the confined potential radius and as a function of the intensity of an applied electric field. It is shown that the binding energy of the confined hydrogen atom is highly dependent on the confined potential radius and the intensity of an applied electric field. 相似文献
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Jayashree Saha 《Physics letters. A》2011,375(18):1893-1897
We propose a soft ellipsoid contact potential model (SECP) for a pair of identical uniaxial ellipsoidal molecules, considering the configuration dependent energy anisotropy explicitly along with their geometrical aspects. The present model is an extension of the ellipsoid contact potential (ECP), main contribution of which was to determine the correct contact function of the ellipsoidal core. Expressions for intermolecular forces and torques derived analytically from this new model pair interaction potential are presented hereto to make it useful for molecular dynamics simulation study. We also report on some observations of molecular dynamics simulation study to demonstrate the ability of this realistic coarse-grained potential in generating some important liquid crystal phases. 相似文献
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An unusual singular position-dependent-mass particle in an infinite potential well is considered. The corresponding Hamiltonian is mapped through a point-canonical-transformation and an explicit correspondence between the target Hamiltonian and a Pöschl-Teller type reference Hamiltonian is obtained. New ordering ambiguity parametric setting are suggested. 相似文献
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The frequency dependent mobility of a Brownian particle moving in a double well potential is calculated for different damping parameters and temperatures by means of continued fraction approximations. These results are remarkably well reproduced by a simple memory function ansatz. Applications to the motion of Ag+ ions in Ag3SX(X =I, Br) crystals are indicated. 相似文献
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Dae-Yup Song 《Annals of Physics》2008,323(12):2991-2999
An asymmetric double-well potential is considered, assuming that the minima of the wells are quadratic with a frequency ω and the difference of the minima is close to a multiple of ?ω. A WKB wave function is constructed on both sides of the local maximum between the wells, by matching the WKB function to the exact wave functions near the classical turning points. The continuities of the wave function and its first derivative at the local maximum then give the energy-level splitting formula, which not only reproduces the instanton result for a symmetric potential, but also elucidates the appearance of resonances of tunneling in the asymmetric potential. 相似文献