Revisiting the Schrodinger probability current

Details Revisiting the Schrodinger probability current Revisiting the Schrodinger probability current

2003-04-08

arxiv.org/abs/quant-ph/0304055v1

Physics

Quantum Physics

5 pages

Scientific paper

We revisit the definition of the probability current for the Schrodinger equation. First, we prove that the Dirac probability currents of stationary wave functions of the hydrogen atom and of the isotrop harmonic oscillator are not nil and correspond to a circular rotation of the probability. Then, we recall how it is necessary to add to classical Pauli and Schrodinger currents, an additional spin-dependant current, the Gordan current. Consequently, we get a circular probability current in the Schrodinger approximation for the hydrogen atom and the isotrop harmonic oscillator.

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