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quant-ph2024
Revisiting the Bohr Model of the Atom through Brownian Motion of the Electron
Vasil Yordanov
We revisit the Bohr model through Brownian motion of the electron and the principles of stochastic optimal control. The electron is assumed to have a definite but random position,…
quant-ph2024
Complex Stochastic Optimal Control Foundation of Quantum Mechanics
Vasil Yordanov
Recent studies have extended the use of the stochastic Hamilton-Jacobi-Bellman (HJB) equation to include complex variables for deriving quantum mechanical equations. However, these…