Closed-form expression for tunneling current from resonant-state decomposition of general initial states, plus semiclassical approximation for oscillating states validated numerically.
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Tamed relaxing Feynman-Kac diffusions emerge from killed-branching processes when the potential has negative subdomains, with consistency shown by simulations on 1D double-well models.
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Tunneling from an oscillating initial state in quantum mechanics
Closed-form expression for tunneling current from resonant-state decomposition of general initial states, plus semiclassical approximation for oscillating states validated numerically.
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Tamed Feynman-Kac diffusion processes: Killing-branching intertwine
Tamed relaxing Feynman-Kac diffusions emerge from killed-branching processes when the potential has negative subdomains, with consistency shown by simulations on 1D double-well models.