Landau Wavefunction Immediately Derived by Virtue of the 〈λ| Representation

• Published in: Communications in theoretical physics Vol. 35; no. 2; pp. 153 - 156
• Main Authors: Hong-Yi, Fan, Jing-Xian, Lin, Yue, Fan
• Format: Journal Article
• Language: English
• Published: Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200030, China%Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China 15.02.2001; Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
• Subjects: wave equation in 〈λ| representation; electron in uniform magnetic field
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/35/2/153

O4; We show that by virtue of the 〈λ| representation (Hong-Yi Fan, Phys. Lctt. A126 (1987) 150) the Landau wavefunctions of an electron in a uniform magnetic field can be immediately derived without solving the corresponding Schrodinger equation. It turns out that the differential operation form of the electron's dynamic Hamiltonian, adopted