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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,…
Revisiting Lamb Shift Theory through Brownian Motion of the Proton
Vasil Yordanov
This paper presents a novel theoretical derivation of the Lamb shift in the hydrogen atom, based solely on fundamental constants and the stochastic (Brownian) motion of the proton.…
Preserving Mass Shell Condition in the Stochastic Optimal Control Derivation of the Dirac Equation
Vasil Yordanov
Lagrangian for a single relativistic charged particle in an external electromagnetic field, retaining both the standard relativistic square-root kinetic term and the minimal electr…
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…