A doubly anharmonic oscillator in an induced electric dipole system

@article{Bakke2018ADA,
  title={A doubly anharmonic oscillator in an induced electric dipole system},
  author={Knut Bakke and C. Salvador},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2018},
  volume={474}
}
  • K. Bakke, C. Salvador
  • Published 1 September 2018
  • Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
The behaviour of the interaction of the induced electric dipole moment of an atom with a uniform magnetic field and a non-uniform electric field are investigated in a rotating reference frame. An interesting aspect of this interaction is that it gives rise to an analogue of a spinless particle subject to the doubly anharmonic oscillator. Then, it is shown that analytical solutions to the Schrödinger equation can be obtained. Another point raised is that the quantum effects on the induced… 
Comment on: ‘A doubly anharmonic oscillator in an induced electric dipole system’
We argue that recent conclusions about a doubly anharmonic oscillator appear to be wrong. The radial eigenvalue equation is conditionally solvable and the authors derived some analytical eigenvalues
Semiclassical treatment of an attractive inverse-square potential in an elastic medium with a disclination
We analyze the interaction of the induced electric dipole moment of a neutral particle with an electric field in elastic medium with a charged disclination from a semiclassical point of view. We show
On an electron in a nonuniform axial magnetic field in a uniformly rotating frame
The interaction of an electron with a nonuniform axial magnetic field is analyzed in a uniformly rotating frame. In particular, the magnetic field is proportional to the square of the radial distan...

References

SHOWING 1-10 OF 66 REFERENCES
On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials
  • I. C. Fonseca, K. Bakke
  • Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2015
The quantum dynamics of an atom with a magnetic quadrupole moment that interacts with an external field subject to harmonic and linear confining potentials is investigated. It is shown that the
Some aspects of an induced electric dipole moment in rotating and non-rotating frames
TLDR
It is shown that bound state solutions to the Schrödinger equation can be achieved and, in the search for polynomial Solutions to the radial wave function, a restriction on the values of the cyclotron frequency is analysed in both reference frames.
On the interaction between an electric quadrupole moment and electric fields
In this work, quantum effects are discussed which arise from the interaction between an electric quadrupole moment and electric fields. It is shown that, by choosing a diagonal electric quadrupole
Quantum phase of induced dipoles moving in a magnetic field.
  • Wei, Han
  • Physics
    Physical review letters
  • 1995
We derive the quantum phase accompanying a neutral particle (with no permanent electric dipole moment) moving in an area where a nonuniform electric field and a uniform magnetic field are
Some aspects of the interaction of a magnetic quadrupole moment with an electric field in a rotating frame
From the interaction between the magnetic quadrupole moment of a neutral particle (atom or molecule) with a radial electric field, a uniform effective magnetic field perpendicular to the plane of
SYMMETRY BREAKING IN CROSSED MAGNETIC AND ELECTRIC FIELDS
We present the first observations of cylindrical symmetry breaking in highly excited diamagnetic hydrogen with a small crossed electric field, and we give a semiclassical interpretation of this
Rotating effects on the Landau quantization for an atom with a magnetic quadrupole moment.
TLDR
It is shown that rotating effects can modify the cyclotron frequency and breaks the degeneracy of the analogue of the Landau levels.
Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame
  • A. B. Oliveira, K. Bakke
  • Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2016
TLDR
It is shown that the degeneracy of the Landau-type levels is broken and the angular frequency of the system acquires a new contribution that stems from the rotation effects, and in the search for bound state solutions, the possible values of this angular frequency are determined by the quantum numbers associated with the radial modes and theangular momentum, the angular velocity of the rotating frame and by the parameters associatedwith the Kratzer potential.
...
...