# On an exactly solvable toy model and its dynamics

@article{Yang2019OnAE, title={On an exactly solvable toy model and its dynamics}, author={K. L. Yang and J. M. Zhang}, journal={European Journal of Physics}, year={2019}, volume={40} }

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 2016 Europhys. Lett. 114 60001), 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.

## 4 Citations

### An exactly solvable toy model whose spectrum is topological

- Physics
- 2020

In an attempt to regularize a previously known exactly solvable model [Yang and Zhang, Eur. J. Phys. \textbf{40}, 035401 (2019)], we find yet another exactly solvable toy model. The interesting point…

### From the smoothness of the initial state to that of the autocorrelation function

- Mathematics
- 2018

Drawing principles from Fourier analysis, we argue that for a generic system, the smoother an initial state is, the faster its decomposition coefficients with respect to the eigenstates of the system…

### Inferring the smoothness of the autocorrelation function from that of the initial state

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2019

We point out that by the ‘smoothness means fast decay’ principle in Fourier analysis, it is possible to infer the smoothness (or nonsmoothness) of the autocorrelation function from a mere glimpse of…

### An exactly solvable toy model

- PhysicsEuropean Journal of Physics
- 2020

In an attempt to regularize a previously known exactly solvable model (Yang and Zhang 2019 Eur. J. Phys. 40 035401), we find yet another exactly solvable toy model. The interesting point is that…

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