Modeling the quantum tunneling effect for a particle with intrinsic structure in presence of external magnetic field in the Lobachevsky space

作者：Chichurin Alexander V^*; Ovsiyuk Elena M; Red'kov Viktor M

来源：Computers & Mathematics with Applications, 2018, 75(5): 1550-1565.

DOI：10.1016/j.camwa.2017.11.019

• Schrodinger equation
• Intrinsic structure of the particle
• Lobachevsky space
• Magnetic field
• PoincarePerron method
• Tunneling effect

eneralized Schrodinger equation for Cox spin zero particle is studied in presence of magnetic field on the background of Lobachevsky space. Separation of the variables is performed. An equation describing motion along the axis z turns out to be much more complicated than when describing the Cox particle in Minkowski space.
The form of the effective potential curve indicates that we have a quantum-mechanical problem of the tunneling type. The derived equation has 6 regular singular points. To physical domains z=+/-infinity there correspond the singular points 0 and 1 of the derived equation. Frobenius solutions of the equation are constructed, convergence of the relevant series is examined by PoincarePerron method. These series are convergent in the whole physical domain z epsilon(-infinity 8,+infinity). Visualization of constructed solutions and numerical study of the tunneling effect are performed.

• 出版日期2018-3-1