The Behavior of Lattice Electron in a Uniform Magnetic Field

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概要

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• The eigenfunctions and eigenvalues of a lattice electron in a uniform magnetic field are determined according to Harper's formalism. The probability density of the free-electron has been found, and the number of the energy levels which are accumulated into a Landau level is determined. Eigenvalues are calculated to the second-order perturbation from the solution of the recursive equation. The method of nearly-free electron is justified in a way that permits the application of the effective-mass concept. Finally, the energy eigenstates for the cos2π(y/a) potential are studied and qualitative comparison to the experimental results is presented.

• 社団法人日本物理学会の論文
• 1972-11-05

著者

• Jannussis A.

  Department Of Physics University Of Patras

• KTENAS P.

  Department of Theoretical Physics, University of Patras

• IOANNIDOU H.

  Department of Theoretical Physics, University of Patras

• Ioannidou H.

  Department Of Theoretical Physics University Of Patras

• Ktenas P.

  Department Of Theoretical Physics University Of Patras

• Jannussis A.D.

  Department of Theoretical Physics,University of Patras

• Jannussis A.D.

  Department of Theoretical Physics, University of Patras

関連論文

• The Behavior of Lattice Electron in a Uniform Magnetic Field
• COMPLEX GEOMETRY AS GENOGEOMETRY AND AXIOMATIZATION OF IRREVERSIBILITY
• Scattering for Nonlocal Potentials in One Dimension
• Green's Function of a Lattice Electron with or without Uniform External Magnetic Field
• One Dimensional Wave Function for the Effective Hamiltonian of Non-Local Potential
• Generalized Coherent States and the U (n) Lie Group
• New Creation and Annihilation Operators in Phase Space

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