2007
DOI: 10.1007/s10773-007-9538-4
|View full text |Cite
|
Sign up to set email alerts
|

Geometric Phases for Wave Packets of the Landau Problem

Abstract: The Landau problem of a charged particle in a plane with a uniform perpendicular magnetic field is analysed in two oscillator modes. The coherent states for the problem have been found out using a general definition of displaced states. The time evolution and the associated nonadiabatic geometric phase for both initially displaced and non-displaced wave packets have been studied. The path integral is derived in a simple way through the calculation of Gaussian integrals via the concept of coherent state wavefun… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

0
3
0

Year Published

2017
2017
2021
2021

Publication Types

Select...
2
2
1

Relationship

0
5

Authors

Journals

citations
Cited by 5 publications
(3 citation statements)
references
References 12 publications
0
3
0
Order By: Relevance
“…where K m,n are normalization constants and f mn (ξ) are functions to be determined. After the change t = ξ 2 and by substituting into (26) and (17), we obtain the following differential equations…”
Section: B Eigenstatesmentioning
confidence: 99%
See 1 more Smart Citation
“…where K m,n are normalization constants and f mn (ξ) are functions to be determined. After the change t = ξ 2 and by substituting into (26) and (17), we obtain the following differential equations…”
Section: B Eigenstatesmentioning
confidence: 99%
“…Therefore, as Malkin and Man'ko found [10], it is natural to build its coherent states as two-dimensional generalizations of Glauber's ones [11]. After these results, many research lines were developed focusing on different aspects of two-dimensional coherent states [12][13][14][15][16][17][18] and the importance of magnetic translation operators [19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Similar displaced Landau states were considered later, e.g., in Refs. [46,[116][117][118][119][120].…”
Section: Minimum Energymentioning
confidence: 99%