## 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

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- 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…