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Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
(Springer, 2020-06-30)
In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the ...
Métodos numéricos para a solução da equação de Dirac potenciais de oscilador harmônico
(Universidade Federal do Rio Grande do NorteBrasilUFRNFísica Bacharelado, 2017-12-07)
The Harmonic Oscillator (HO) is a system addressed in various areas of physics and with many applications in vasts fields of science. We present the equations of the HOs for the classical, quantum and relativistic cases ...
Nonsingular spiked harmonic oscillator
(1991-12-01)
A perturbative study of a class of nonsingular spiked harmonic oscillators defined by the Hamiltonian H= -d2/dr2 + r2 + λ/rα in the domain [0,∞] is carried out, in the two extremes of a weak coupling and a strong coupling ...
Nonsingular spiked harmonic oscillator
(1991-12-01)
A perturbative study of a class of nonsingular spiked harmonic oscillators defined by the Hamiltonian H= -d2/dr2 + r2 + λ/rα in the domain [0,∞] is carried out, in the two extremes of a weak coupling and a strong coupling ...
A Laplace transform approach to the quantum harmonic oscillator
(Iop Publishing Ltd, 2013-01-01)
The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin ...
H-bond simulation in DNA using a harmonic oscillator isospectral potential
(1997-12-01)
A harmonic oscillator isospectral potential obtained by supersymmetric algebra applied to quantum mechanics is suggested to simulate DNA H bonds. Thermic denaturation is studied with this potential.
The Mehler formula and the Green function of the multi-dimensional isotropic harmonic oscillator
(1976-12-01)
Using a generalized Mehler formula, a closed representation is obtained for the Green function of the stationary Schrodinger equation for a multidimensional isotropic harmonic oscillator.
Driven damped oscillator
(2016)