# Exactly solvable Schrödinger equation with double-well potential for hydrogen bond

@article{Sitnitsky2017ExactlySS, title={Exactly solvable Schr{\"o}dinger equation with double-well potential for hydrogen bond}, author={Aleksandr E. Sitnitsky}, journal={Chemical Physics Letters}, year={2017}, volume={676}, pages={169-173} }

## 19 Citations

### Exact solution of Schr\"odinger equation with symmetric double-well potential versus WKB: accuracy for ground state splitting

- Physics
- 2018

The one-dimensional Schr\"odinger equation with symmetric trigonometric double-well potential (DWP) is exactly solved via angular oblate spheroidal function. The results of stringent analytic…

### Analytic calculation of ground state splitting in symmetric double well potential

- PhysicsComputational and Theoretical Chemistry
- 2018

### Analytical approach for the tunneling process in double well potentials using IRC calculations

- Physics
- 2020

### Analytic treatment of IR-spectroscopy data for double well potential

- PhysicsComputational and Theoretical Chemistry
- 2019

### Semi-exact Solutions of Konwent Potential

- PhysicsCommunications in Theoretical Physics
- 2019

In this work we study the quantum system with the symmetric Konwent potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun function. The…

### Semiexact Solutions of the Razavy Potential

- Mathematics, PhysicsAdvances in High Energy Physics
- 2018

In this work, we study the quantum system with the symmetric Razavy potential and show how to find its exact solutions. We find that the solutions are given by the confluent Heun functions. The…

### Geometric effects on a quantum particle constrained to a helix, catenary, helicoid, or catenoid

- Physics
- 2021

Since electrons in a ballistic regime perceive a carbon nanotube or a graphene layer structure as a continuous medium, we can use the study of the quantum dynamics of one electron constrained to a…

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