A harmonic oscillator with time-dependent force constant when perturbed by a weak static quartic anharmonicity ti4, 1 small, is shown to generate new features in the dynamics. For weak coupling, both time-dependent perturbation theoretical analysis and near-exact numerical calculations predict that
On the harmonic approximation to a Morse oscillator perturbed by a time-dependent interaction
✍ Scribed by José Récamier A.; Rocío Jáuregui
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 833 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
Alternative algebraic techniques to approximate a given Hamiltonian by a harmonic oscillator are described both for timeindependent and time-dependent systems. We apply them to the description of a one-dimensional atom-diatom collision. From the resulting evolution operator, we evaluate vibrational transition probabilities as well as other time-dependent properties. As expected, the ground vibrational state becomes a squeezed state during the collision.
📜 SIMILAR VOLUMES
The dynamics of a 1-d cubic oscillator having a time-dependent harmonic force constant is studied numerically by invoking the time-dependent Fourier grid Hamiltonian method. The temporal variation in K t causes the tunneling rate constant to decrease or increase, depending upon the nature of the tim
The solution to Newton's second law for a harmonic oscillator with a time-dependent force constant allows the solutions to the corresponding time-dependent Schkidinger equation to be written down by analogy.