The claimed exact equivalence to the Schrödinger equation from classical action is actually the standard semiclassical approximation because the quantum potential is omitted by neglecting spatial derivatives of the probability density amplitude.
Gutzwiller,Chaos in Classical and Quantum Mechanics, vol
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Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
This review surveys the Loschmidt echo, OTOCs, and Krylov complexity as quantum proxies for classical Lyapunov exponents in chaotic systems.
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Comment on `On computing quantum waves exactly from classical action'
The claimed exact equivalence to the Schrödinger equation from classical action is actually the standard semiclassical approximation because the quantum potential is omitted by neglecting spatial derivatives of the probability density amplitude.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Quantum analogues of exponential sensitivity: from Loschmidt echo to Krylov complexity
This review surveys the Loschmidt echo, OTOCs, and Krylov complexity as quantum proxies for classical Lyapunov exponents in chaotic systems.