# Wave packet dynamics in various two-dimensional systems: A unified description

## Abstract

In this article we present an exact and unified description of wave packet dynamics in various 2D systems in the presence of a transverse magnetic field. We consider an initial minimum-uncertainty Gaussian wave packet and find that its long-term dynamics displays the universal phenomena of spontaneous collapse and quantum revival. We estimate the timescales associated with these phenomena based on very general arguments for various materials, whose carrier dynamics is described either by the Schrödinger equation or by the Dirac equation.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22447605

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 354; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; L-S COUPLING; MAGNETIC FIELDS; QUANTUM MECHANICS; QUANTUM WELLS; SCHROEDINGER EQUATION; SPIN; TWO-DIMENSIONAL CALCULATIONS; WAVE PACKETS

### Citation Formats

```
Singh, Ashutosh, Biswas, Tutul, E-mail: tutulb@iitk.ac.in, Ghosh, Tarun Kanti, and Agarwal, Amit.
```*Wave packet dynamics in various two-dimensional systems: A unified description*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.12.019.

```
Singh, Ashutosh, Biswas, Tutul, E-mail: tutulb@iitk.ac.in, Ghosh, Tarun Kanti, & Agarwal, Amit.
```*Wave packet dynamics in various two-dimensional systems: A unified description*. United States. doi:10.1016/J.AOP.2014.12.019.

```
Singh, Ashutosh, Biswas, Tutul, E-mail: tutulb@iitk.ac.in, Ghosh, Tarun Kanti, and Agarwal, Amit. Sun .
"Wave packet dynamics in various two-dimensional systems: A unified description". United States.
doi:10.1016/J.AOP.2014.12.019.
```

```
@article{osti_22447605,
```

title = {Wave packet dynamics in various two-dimensional systems: A unified description},

author = {Singh, Ashutosh and Biswas, Tutul, E-mail: tutulb@iitk.ac.in and Ghosh, Tarun Kanti and Agarwal, Amit},

abstractNote = {In this article we present an exact and unified description of wave packet dynamics in various 2D systems in the presence of a transverse magnetic field. We consider an initial minimum-uncertainty Gaussian wave packet and find that its long-term dynamics displays the universal phenomena of spontaneous collapse and quantum revival. We estimate the timescales associated with these phenomena based on very general arguments for various materials, whose carrier dynamics is described either by the Schrödinger equation or by the Dirac equation.},

doi = {10.1016/J.AOP.2014.12.019},

journal = {Annals of Physics},

number = ,

volume = 354,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}

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