Figures and Tables from this paper
8 Citations
Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
- PhysicsAnnals of Physics
- 2019
Ju l 2 01 8 Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
- Physics
- 2018
A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the…
Two-dimensional hydrogen-like atom in a weak magnetic field
- PhysicsThe European Physical Journal Plus
- 2018
Abstract.We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static, uniform magnetic field perpendicular to the atomic plane. Within the framework of the…
The “Forgotten” Pseudomomenta and Gauge Changes in Generalized Landau Level Problems: Spatially Nonuniform Magnetic and Temporally Varying Electric Fields
- Physics
- 2016
By perceiving gauge invariance as an analytical tool in order to get insight into the states of the “generalized Landau problem” (a charged quantum particle moving inside a magnetic, and possibly…
Generators of dynamical symmetries and the correct gauge transformation in the Landau level problem: use of pseudomomentum and pseudo-angular momentum
- Physics
- 2016
Due to the importance of gauge symmetry in all fields of physics, and motivated by an article written almost three decades ago that warns against a naive handling of gauge transformations in the…
The “Forgotten” Pseudomomenta and Gauge Changes in Generalized Landau Level Problems: Spatially Nonuniform Magnetic and Temporally Varying Electric Fields
- PhysicsInternational Journal of Theoretical Physics
- 2017
By perceiving gauge invariance as an analytical tool in order to get insight into the states of the “generalized Landau problem” (a charged quantum particle moving inside a magnetic, and possibly…
The guide to the guiding center aka pseudo-momentum operator construction
- Physics
- 2023
The strictly gauge invariant approach to the construction of the analog of guiding center integrals of motion in spatially homogeneous/inhomogeneous constant magnetic fields is considered. With their…
References
SHOWING 1-10 OF 26 REFERENCES
Interaction of two charges in a uniform magnetic field: I. Planar problem
- Physics, Mathematics
- 2006
The interaction of two charges moving in in a magnetic field B can be formulated as a Hamiltonian system with four degrees of freedom. Assuming that the magnetic field is uniform and the interaction…
Two charges on a plane in a magnetic field: Special trajectories
- Physics
- 2013
The classical mechanics of two Coulomb charges on a plane (e1, m1) and (e2, m2) subject to a constant magnetic field perpendicular to the plane is considered. Special “superintegrable” trajectories…
Interaction of the collective and electronic motion of atomic ions in magnetic fields.
- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1995
A permanent exchange of energy between the center of mass and the internal degrees of freedom is shown to take place, which leads, in the regular regime, to the self-stabilization of the ion on a circular orbit.
Discrete eigenstates of the He + ion moving in a strong magnetic field
- Physics
- 1998
We present precise results for the binding energies and sizes of the He + ion moving accross a strong pulsar-type magnetic eld. Similarly to the previously studied case of hydrogen, the ion is…
Quasi-two-dimensional excitons in finite magnetic fields
- Physics
- 2002
We present a theoretical and experimental investigation of the effects of a magnetic field on quasi-twodimensional excitons. We calculate the internal structures and dispersion relations of spatially…
Hydrogen atom in crossed electric and magnetic fields: transition from weak to strong electron-proton decentring
- Physics
- 1992
The hydrogen atom in crossed electric and magnetic fields is studied, taking full account of centre-of-mass effects and using a variational basis which does not depend on the choice of a canonical…
Hydrogen atom in crossed electric and magnetic fields: transition from weak to strong electron-proton decentring
- Physics
- 1992
The hydrogen atom in crossed electric and magnetic fields is studied, taking full account of centre-of-mass effects and using a variational basis which does not depend on the choice of a canonical…
Structure and radiative transitions of the hydrogen atom moving in a strong magnetic field
- Physics
- 2002
The discrete specmm of the hydrogen atom moving acmss a stmng magnetic field (E = 7 x 10"-7 x IO'* G) is studied by expanding wavefunctions over a complete onhogonal basis, whose single term pmvides…