### Abstract

We construct new types of stationary states for a particle in a homogeneous magnetic field, called states with squeezed center. In the limit of infinite squeezing we get back the Landau states, while in the case of zero squeezing we have the quasi-classically centered states. Usually the two limiting cases are obtained in different gauges, and this thought to be the essential difference between them. We show that actually a different choice of a good quantum number makes the distinction. We find the Wigner functions of these states, which being gauge invariant demonstrates explicitly this statement.

Original language | English |
---|---|

Pages (from-to) | 35-42 |

Number of pages | 8 |

Journal | Acta Physica Hungarica, Series B: Quantum Electronics |

Volume | 1 |

Issue number | 2/- |

DOIs | |

Publication status | Published - 2004 |

### Fingerprint

### Keywords

- Magnetic field
- Squeezed states
- Wigner function

### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Acta Physica Hungarica, Series B: Quantum Electronics*,

*1*(2/-), 35-42. https://doi.org/10.1556/APH.20.2004.1-2.8

**Squeezed states, gauge invariance and Wigner functions of a particle in a homogeneous magnetic field.** / Benedict, M.; Czirják, A.; Peeters, F. M.

Research output: Contribution to journal › Article

*Acta Physica Hungarica, Series B: Quantum Electronics*, vol. 1, no. 2/-, pp. 35-42. https://doi.org/10.1556/APH.20.2004.1-2.8

}

TY - JOUR

T1 - Squeezed states, gauge invariance and Wigner functions of a particle in a homogeneous magnetic field

AU - Benedict, M.

AU - Czirják, A.

AU - Peeters, F. M.

PY - 2004

Y1 - 2004

N2 - We construct new types of stationary states for a particle in a homogeneous magnetic field, called states with squeezed center. In the limit of infinite squeezing we get back the Landau states, while in the case of zero squeezing we have the quasi-classically centered states. Usually the two limiting cases are obtained in different gauges, and this thought to be the essential difference between them. We show that actually a different choice of a good quantum number makes the distinction. We find the Wigner functions of these states, which being gauge invariant demonstrates explicitly this statement.

AB - We construct new types of stationary states for a particle in a homogeneous magnetic field, called states with squeezed center. In the limit of infinite squeezing we get back the Landau states, while in the case of zero squeezing we have the quasi-classically centered states. Usually the two limiting cases are obtained in different gauges, and this thought to be the essential difference between them. We show that actually a different choice of a good quantum number makes the distinction. We find the Wigner functions of these states, which being gauge invariant demonstrates explicitly this statement.

KW - Magnetic field

KW - Squeezed states

KW - Wigner function

UR - http://www.scopus.com/inward/record.url?scp=3142596580&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3142596580&partnerID=8YFLogxK

U2 - 10.1556/APH.20.2004.1-2.8

DO - 10.1556/APH.20.2004.1-2.8

M3 - Article

AN - SCOPUS:3142596580

VL - 1

SP - 35

EP - 42

JO - Acta Physica Hungarica, Series B: Quantum Electronics

JF - Acta Physica Hungarica, Series B: Quantum Electronics

SN - 1589-9535

IS - 2/-

ER -