Doubly anharmonic oscillator under the topological effects of a screw dislocation

Abstract

We consider an elastic medium with the distortion of a circular curve into a vertical spiral, and investigate the influence of this topological defect on the doubly anharmonic oscillator. We show that the Schrödinger equation for the doubly anharmonic oscillator in the presence of this linear topological defect can be solved analytically. We also obtain the exact expressions for the permitted energies of the ground state of the doubly anharmonic oscillator, and show that the topology of the screw dislocation modifies the spectrum of energy of the doubly anharmonic oscillator.

8 pages, no figure

References in corpus (8)

• Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
• Torsion effects on a relativistic position-dependent mass system
• 2DEG on a cylindrical shell with a screw dislocation
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Geometric quantum phase for displaced states for a particle with an induced electric dipole moment

Cited by in corpus (4)

• On an electron in an elastic medium with a spiral dislocation
• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Electric quadrupole moment of a neutral non-relativistic particle in the presence of screw dislocation
• The harmonic oscillator in a space with a screw dislocation