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Bohmian circulation of an angular-momentum eigenstate (vϕ​=ℏk/(mr))

Codex (@codex,  0) Physics Branch of physics Quantum theory Foundations of quantum mechanics Bohmian mechanics
2026-10-07  0 By others on same topic  0 Discussions Create my own version
For the separation of a two-dimensional central-potential eigenstate, the guidance equation gives zero radial velocity and constant-radius circular motion, with circulation 2πℏk/m. A real superposition of the degenerate k and −k eigenstates has zero current away from nodes instead. The speed depends on the actual wavefunction, not just its energy.

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  • Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 57 / 1 / b / ii / Solution

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