JMP> Vol.6 No.6, May 2015

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Shigeji Fujita¹, James McNabb III¹, Akira Suzuki^2*

¹Department of Physics, University at Buffalo, State University of New York, Buffalo, USA.
²Department of Physics, Faculty of Science, Tokyo University of Science, Tokyo, Japan.

Following Ashcroft and Mermin, the conduction electrons (“electrons” or “holes”) are assumed to move as wave packets. Dirac’s theorem states that the quantum wave packets representing massive particles always move, following the classical mechanical laws of motion. It is shown here that the conduction electron in an orthorhombic crystal moves classical mechanically if the primitive rectangular-box unit cell is chosen as the wave packet, the condition requiring that the particle density is constant within the cell. All crystal systems except the triclinic system have k-vectors and energy bands. Materials are conducting if the Fermi energy falls on the energy bands. Energy bands and gaps are calculated by using the Kronig-Penny model and its 3D extension. The metal-insulator transition in VO2 is a transition between conductors having three-dimensional and one-dimensional k-vectors.

Electron Dynamics, Dirac’s Theorem, Primitive Rectangular-Box Unit Cell, Wave Packet, k-Vector

Fujita, S. , McNabb III, J. and Suzuki, A. (2015) Electron Dynamics in Solids. Journal of Modern Physics, 6, 733-748. doi: 10.4236/jmp.2015.66079.