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• W2059091941 abstract "Instanton calculations in semiclassical quantum mechanics rely on integration along trajectories which solve classical equations of motion. However in systems with higher dimensionality or complexified phase space these are rarely attainable. A prime example are spin-coherent states which are used e.g. to describe single molecule magnets (SMM). We use this example to develop instanton calculus which does not rely on explicit solutions of the classical equations of motion. Energy conservation restricts the complex phase space to a Riemann surface of complex dimension one, allowing to deform integration paths according to Cauchy's integral theorem. As a result, the semiclassical actions can be evaluated without knowing actual classical paths. Furthermore we show that in many cases such actions may be solely derived from monodromy properties of the corresponding Riemann surface and residue values at its singular points. As an example, we consider quenching of tunneling processes in SMM by an applied magnetic field." @default.
• W2059091941 created "2016-06-24" @default.
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• W2059091941 date "2015-01-28" @default.
• W2059091941 modified "2023-09-24" @default.
• W2059091941 title "Instanton calculus without equations of motion: semiclassics from monodromies of a Riemann surface" @default.
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• W2059091941 doi "https://doi.org/10.1088/1751-8113/48/7/075304" @default.
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