# Joint moments of proper delay times

## Abstract

We calculate negative moments of the N-dimensional Laguerre distribution for the orthogonal, unitary, and symplectic symmetries. These moments correspond to those of the proper delay times, which are needed to determine the statistical fluctuations of several transport properties through classically chaotic cavities, like quantum dots and microwave cavities with ideal coupling.

- Authors:

- Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 México Distrito Federal (Mexico)
- Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, 09340 México Distrito Federal (Mexico)

- Publication Date:

- OSTI Identifier:
- 22306079

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; CHARGED-PARTICLE TRANSPORT; FLUCTUATIONS; LAGUERRE POLYNOMIALS; QUANTUM DOTS; SYMMETRY

### Citation Formats

```
Martínez-Argüello, Angel M., Martínez-Mares, Moisés, and García, Julio C.
```*Joint moments of proper delay times*. United States: N. p., 2014.
Web. doi:10.1063/1.4890559.

```
Martínez-Argüello, Angel M., Martínez-Mares, Moisés, & García, Julio C.
```*Joint moments of proper delay times*. United States. doi:10.1063/1.4890559.

```
Martínez-Argüello, Angel M., Martínez-Mares, Moisés, and García, Julio C. Fri .
"Joint moments of proper delay times". United States.
doi:10.1063/1.4890559.
```

```
@article{osti_22306079,
```

title = {Joint moments of proper delay times},

author = {Martínez-Argüello, Angel M. and Martínez-Mares, Moisés and García, Julio C.},

abstractNote = {We calculate negative moments of the N-dimensional Laguerre distribution for the orthogonal, unitary, and symplectic symmetries. These moments correspond to those of the proper delay times, which are needed to determine the statistical fluctuations of several transport properties through classically chaotic cavities, like quantum dots and microwave cavities with ideal coupling.},

doi = {10.1063/1.4890559},

journal = {Journal of Mathematical Physics},

number = 8,

volume = 55,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4890559

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