# Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model

## Abstract

The exact quantum-mechanical solution of the two-state exponential model with one flat diabatic potential has been found for a specific energy below the higher threshold. The N matrix has been derived in the adiabatic representation and the closed analytical expression for the transmission coefficient has been obtained. The results reveal the influence of the closed channel on the nonadiabatic transmission.

- Authors:

- Institute of Problems of Chemical Physics, Russian Academy of Sciences, 142432 Chernogolovka (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 20974584

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.022713; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADIABATIC PROCESSES; MATHEMATICAL SOLUTIONS; MATRICES; POTENTIALS; QUANTUM MECHANICS; TRANSMISSION; TUNNEL EFFECT

### Citation Formats

```
Osherov, V. I., and Ushakov, V. G..
```*Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.022713.

```
Osherov, V. I., & Ushakov, V. G..
```*Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model*. United States. doi:10.1103/PHYSREVA.73.022713.

```
Osherov, V. I., and Ushakov, V. G.. Wed .
"Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model". United States.
doi:10.1103/PHYSREVA.73.022713.
```

```
@article{osti_20974584,
```

title = {Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model},

author = {Osherov, V. I. and Ushakov, V. G.},

abstractNote = {The exact quantum-mechanical solution of the two-state exponential model with one flat diabatic potential has been found for a specific energy below the higher threshold. The N matrix has been derived in the adiabatic representation and the closed analytical expression for the transmission coefficient has been obtained. The results reveal the influence of the closed channel on the nonadiabatic transmission.},

doi = {10.1103/PHYSREVA.73.022713},

journal = {Physical Review. A},

number = 2,

volume = 73,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2006},

month = {Wed Feb 15 00:00:00 EST 2006}

}

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