# Time evolution of decay of two identical quantum particles

## Abstract

An analytical solution for the time evolution of decay of two identical noninteracting quantum particles seated initially within a potential of finite range is derived using the formalism of resonant states. It is shown that the wave function, and hence also the survival and nonescape probabilities, for factorized symmetric and entangled symmetric or antisymmetric initial states evolve in a distinctive form along the exponentially decaying and nonexponential regimes. Our findings show the influence of the Pauli exclusion principle on decay. We exemplify our results by solving exactly the s-wave {delta} shell potential model.

- Authors:

- Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20-364, Mexico 01000, Distrito Federal (Mexico)

- Publication Date:

- OSTI Identifier:
- 22068628

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ANALYTICAL SOLUTION; DECAY; PAULI PRINCIPLE; POTENTIALS; PROBABILITY; QUANTUM ENTANGLEMENT; S WAVES; SHELLS; SYMMETRY; WAVE FUNCTIONS

### Citation Formats

```
Garcia-Calderon, Gaston, and Mendoza-Luna, Luis Guillermo.
```*Time evolution of decay of two identical quantum particles*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.032106.

```
Garcia-Calderon, Gaston, & Mendoza-Luna, Luis Guillermo.
```*Time evolution of decay of two identical quantum particles*. United States. doi:10.1103/PHYSREVA.84.032106.

```
Garcia-Calderon, Gaston, and Mendoza-Luna, Luis Guillermo. Thu .
"Time evolution of decay of two identical quantum particles". United States. doi:10.1103/PHYSREVA.84.032106.
```

```
@article{osti_22068628,
```

title = {Time evolution of decay of two identical quantum particles},

author = {Garcia-Calderon, Gaston and Mendoza-Luna, Luis Guillermo},

abstractNote = {An analytical solution for the time evolution of decay of two identical noninteracting quantum particles seated initially within a potential of finite range is derived using the formalism of resonant states. It is shown that the wave function, and hence also the survival and nonescape probabilities, for factorized symmetric and entangled symmetric or antisymmetric initial states evolve in a distinctive form along the exponentially decaying and nonexponential regimes. Our findings show the influence of the Pauli exclusion principle on decay. We exemplify our results by solving exactly the s-wave {delta} shell potential model.},

doi = {10.1103/PHYSREVA.84.032106},

journal = {Physical Review. A},

issn = {1050-2947},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}

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