The radial part of potential can be considered as Coulomb and
harmonic oscillator potentials [17, 18]:
In the following two sections we apply the above two methods to solve the One- and Two-Dimensional Nonlinear Schrodinger Equation with
Harmonic Oscillator.
where [[psi].sub.n] is an eigen function of the one-dimensional (1D)
harmonic oscillator. The Schrodinger equation for this wave function can be written as
Let us split the model frequency response in two parts, the (unknown) generic kth
harmonic oscillator and the (unknown) residual part [W.sub.res], as follows:
In Section 5 we make a presentation of numerical results for the Helmholtz free energy of a single particle under asymmetric
harmonic oscillator potential.
Wakayama, On the spectral zeta function for the noncommutative
harmonic oscillator, Rep.
Just as the Hermite polynomials [H.sub.n](x) are associated with the wave functions for the
harmonic oscillator [36], the continuous q-Hermite polynomials [H.sub.n](x|q) are associated with the normalized q-wave function for the q-harmonic oscillator,
The
harmonic oscillator is a traditional argument in the study of the mechanics.
The last section of the book deals with angular momentum and spin, the
harmonic oscillator, and the physics of the hydrogen atom.