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

Reports on Mathematical Physics

New operator realization of angular momentum for description of electron's motion in uniform magnetic field

Cheng Da, Hony-Yi Fan

Published Aug 1, 2024• 1 citation
Publisher
DOI
10.1016/s0034-4877(24)00058-2

Related papers

NEW REPRESENTATION FOR DESCRIBING LOWERING AND ASCENDING OF AN ELECTRON'S ANGULAR MOMENTUM IN A UNIFORM MAGNETIC FIELD

Hong-Yi Fan, H. ZOU, Yue Fan

We construct a new quantum mechanical representation |l,r> for describing an electron's angular momentum in a uniform magnetic field, where l is the eigenvalue of the azimuthal angular momentum Lz and r is the orbit radius of the electron's motion. The ascending and lowering operators for |l,r>→|l± 1,r> are also obtained. Throughout our discussion the <λ| representation is fully employed (see Hong-Yi Fan and Yong Ren, Mod. Phys. Lett.B10, 523 (1996).

Modern Physics Letters B•Apr 10, 1999•5 citations

Motion of Electron Spin in Magnetic Fields

F. Suekane

Lecture notes in physics•Jan 1, 2021•0 citations

Angular Momentum-Radius Entanglement for an Electron in a Uniform Magnetic Field

Fan Hong‐Yi

Noticing that the angular momentum operator L z commutes with the square of radius operator, R 2 , of the orbit track of an electron in a uniform magnetic field, we reveal that a new entanglement is inherent to the common eigenvector of the operators L z and R 2 .

Chinese Physics Letters•Feb 1, 2002•4 citations

Standard Treatment of Angular Momentum in Quantum Mechanics

Lawrence C. Biedenharn, James D. Louck, Peter A. Carruthers

Cambridge University Press eBooks•Dec 28, 1984•2 citations

The Treatment of Angular Momentum in Quantum Mechanics

David V. George

Elsevier eBooks•Jan 1, 1972•0 citations

Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field

Fan Hong-Yi, Fan Yue

Based on the newly constructed state | l , r ⟩⟩ [Fan et al. , Chin. Phys. Lett. 16(1999)706], where l is the angular momentum quantum number and r denotes the electron's orbit radius in a uniform magnetic field, we propose a new angular momentum-phase coherent state by introducing a new operator A . A and A † are annihilation and creation operators in the | l , r ⟩⟩ space, respectively. The coherent state is A 's eigenket and possesses non-orthonormal and overcomplete properties. It is constructed on the certain superposition of zero-angular momentum states along the radius direction.

Chinese Physics Letters•Feb 8, 2001•15 citations
Based on the newly constructed state | l , r ⟩⟩ [Fan et al. , Chin. Phys. Lett. 16(1999)706], where l is the angular momentum quantum number and r denotes the electron's orbit radius in a uniform magnetic field, we propose a new angular momentum-phase coherent state by introducing a new operator A . A and A † are annihilation and creation operators in the | l , r ⟩⟩ space, respectively. The coherent state is A 's eigenket and possesses non-orthonormal and overcomplete properties. It is constructed on the certain superposition of zero-angular momentum states along the radius direction.