A Force Theorem by Electron Momentum in Solids
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概要
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A new force operator, ħ∂2/∂t∂x, is proposed, which is obtained from differentiating of momentum expectration of a quantum perticle by time. A wavefunction is approximated to a planewave, this operator is worked to the wavefunction ; then, force expectation, ħkω, is obtained. We call this force expectation 'marion force'. It is the same as working force to a quantum particle which moves cyclic in a central force potential like centrifugal force on the Bohr model. Apllication of the marion force is proposed as a concept which is able to be understood easily and intuitively when mechanical property of mechanical materials is analyzed. The marion force is calculated as a function if electron density in free-electron solids, average presure from this marion force is proportional to five-thirds power of electron density. This pressure is in a good agreement to virial pressure which is obtained thermodynamically from average energy of free electrons.
- Faculty of Engineering, Mie Universityの論文
- 1991-12-20
Faculty of Engineering, Mie University | 論文
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