On an exactly solvable toy model and its dynamics
arXiv:1902.00136 · doi:10.1088/1361-6404/ab0389
Abstract
The eigenstates and eigenenergies of a toy model, which arose in idealizing a local quenched tight-binding model in a previous publication [Zhang and Yang, EPL 114, 60001 (2016)], are solved analytically. This enables us to study its dynamics in a different way. This model can serve as a good exercise in quantum mechanics at the undergraduate level.
arXiv comment7 pages, 2 figures
References in corpus (5)
- Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
- Fermi's golden rule: its derivation and breakdown by an ideal model
- Cusps in the quench dynamics of a Bloch state
- Sudden jumps and plateaus in the quench dynamics of a Bloch state
- Dynamical Friedel oscillations of a Fermi sea