Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics and chemistry of materials with low-dimensional structures

Quantum Harmonic Oscillator in a Magnetic Field: An Example of Holomorphic Representation

Vincenzo Marigliano Ramaglia, Barbara Preziosi, A. Tagliacozzo, F. Ventriglia

Published Jan 1, 1989• 0 citations
Publisher
DOI
10.1007/978-94-009-2419-2_34

Related papers

Holomorphic representation of coherent states of a singular oscillator and their Darboux representation

Vladislav G. Bagrov, B. F. Samsonov

Russian Physics Journal•Feb 1, 1998•0 citations

Harmonic Oscillator on Quantum Space

Ursula Carow-Watamura, Satoshi Watamura

素粒子論研究•Jan 1, 1994•0 citations

Geometric Quantization of a Particle in a Perpendicular Magnetic Field

Marin Drinov Academic Publishing House, Guillermo Capobianco, Walter Reartes

In this paper we develop the quantization of a particle in the plane under the influence of a perpendicular magnetic field using the geometric quantization with half--forms in Hilbert space of holomorphic functions. An original coordinate transformation is applied to convert the problem into a system of harmonic oscillators. Then, it is solved highlighting the relationship between different representations. We emphasize the isomorphism between the holomorphic representation and the Schrödinger representation.

Journal of Geometry and Symmetry in Physics•Jan 1, 2016•0 citations

Damped harmonic oscillators in the holomorphic representation

Fabio Benatti, Roberto Floreanini B

Quantum dynamical semigroups are applied to the study of the time evolution of harmonic oscillators, both bosonic and fermionic. Explicit expressions for the density matrices describing the states of these systems are derived using the holomorphic representation. Bosonic and fermionic degrees of freedom are then put together to form a supersymmetric oscillator; the conditions that ensure supersymmetry invariance of the corresponding dynamical equations are derived explicitly.

arXiv:hep-th/0010013•Journal of Physics A Mathematical and General•Nov 3, 2000•10 citations

Three-dimensional harmonic oscillator in a magnetic field

I. M. Ternov, Vladislav G. Bagrov, V. N. Zadorozhnyi

Russian Physics Journal•Apr 1, 1971•3 citations

Forced Time-Dependent Harmonic Oscillator in a Static Magnetic Field: Exact Quantum and Classical Solutions

Mai-Lin Liang, Wenqing Zhang

International Journal of Theoretical Physics•Dec 1, 2003•3 citations
In this paper we develop the quantization of a particle in the plane under the influence of a perpendicular magnetic field using the geometric quantization with half--forms in Hilbert space of holomorphic functions. An original coordinate transformation is applied to convert the problem into a system of harmonic oscillators. Then, it is solved highlighting the relationship between different representations. We emphasize the isomorphism between the holomorphic representation and the Schrödinger representation.