two-dimensional anharmonic oscillatorHill determinant/ A0365G Solutions of wave equations: bound state in quantum theoryThe energy levels of the Schrdinger equation for the potential x 2 + y 2 + 位 [ a xx x 4 +2 a xy x 2 y 2 + a yy y 4 ] are calculated using Hill determinant ...
The energy levels of a single quantum quartic oscillator and those of a pair of coupled quartic anharmonic oscillators are investigated. Expansions for the energy levels are obtained for different energy regimes and numerical results for a variety of conditions are given. A WKB analysis is included...
oscillator n. 1.振荡器 energy n. 1. 活力,干劲,能力 2.[常用复数] 精力;能力;力量 3.【物理】(原子、电、辐射的)能,能量,(可利用)能量(如电能、热能等) 4. 表达力;(语言、文体、文笔等的)生 harmonic( )mean 调和平均值 high adj. 1. 高的 2. 有某高度的 3.(离地面)很高的;海拔很高的...
No, the energy of a Simple Harmonic Oscillator can never be negative. This is because both the kinetic and potential energies are always positive, and the total energy is the sum of these two values. In SHM, energy is constantly being exchanged between kinetic and potential, but the total ...
It has been found that the result may be deduced from the uncertainty principle, in view of the particular relation between position, momentum and energy in a simple harmonic field.doi:10.1038/136395b0R.A.NEWINGNatureNEWING, R. A., "Uncertainty Principle and the Zero-Point Energy of the ...
In a recent thermodynamic analysis of the harmonic oscillator Boyer has shown, using an interpolation procedure, that the existence of a zero-point energy leads to Planck's law. We avoid the interpolation procedure by adding a statistical argument to arrive at Planck's law as a consequence of ...
The energy levels and perturbation expansions for the expectation values of arbitrary powers of position for a perturbed Morse oscillator are obtained by application of the hypervirial and Hellmann–Feynman theorems, solely in terms of the unperturbed energy. We obtain expressions for the first-order ...
We propose a scheme to add/subtract excitations to/from an arbitrary quantum state or the harmonic oscillator. The method displaces the photon-number distribution and leaves its shape unchanged for a wide range of displacements. Mathematically this is realized by the action of phase operators of ...
EnergyinSimpleHarmonicOscillator AspringhasElasticPotentialEnergy: KineticEnergy: TotalEnergy: Whenthespringisfullycompressed theelasticpotentialenergyis Attheequilibriumpositionallthe energyisintheformofkineticenergy Sincethetotalenergyisconserved: Atanypointthevelocityis: ...
The use of Kratzer functions is illustrated in the computation of the eigenstates of a rotating-vibrating Morse oscillator. The eigenstates are also computed by the use of a harmonic oscillator basis set. The Kratzer oscillator functions... Secrest,Don - 《Journal of Physical Chemistry》 被引量...