首页|Calculation of the transition amplitude using differential forms for the simplest electron-electron interaction

Calculation of the transition amplitude using differential forms for the simplest electron-electron interaction

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To examine the transition amplitude, we apply differential forms to the formal expression of the transition amplitude when the Hamiltonian includes the simplest electron-electron interaction. Simultaneous differential equations are obtained after applying the differential forms. In the analysis of the steady state, the transition amplitude tends to become flat with increasing Coulomb potential if electron transfer from the initial configuration is blocked by the Coulomb potential. In contrast, the transition amplitude exhibits oscillation irrespective of the Coulomb potential if electron transfer from the initial configuration is less inhibited by the Coulomb potential. In the non-steady state, the transition amplitude displays oscillation even if electron transfer from the initial configuration is inhibited by the Coulomb potential. Consequently, the electron transfer mechanism in the non-steady state may be distinct from that in the steady state.

Transition amplitudeCoulomb potentialSimultaneous differential equationsExact solutionPath integralElectron transferRADIATIVE-TRANSFERCOHERENT

Kondo, Shin-ichiro

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Nagasaki Univ

2022

Physica

Physica

ISSN:0921-4526
年,卷(期):2022.629
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