Numerical study shows semiclassical methods reproduce overall Fock-state barrier transmission but miss quantum interference plateaus and Kerr effects, while maximum transmission remains bounded by the initial positive-energy fraction encoded in phase space.
Merzbacher, The early history of quantum tunneling, Physics Today55, 44 (2002)
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Quantum signatures and semiclassical limitations in the transmission of Fock states
Numerical study shows semiclassical methods reproduce overall Fock-state barrier transmission but miss quantum interference plateaus and Kerr effects, while maximum transmission remains bounded by the initial positive-energy fraction encoded in phase space.