2 research outputs found
Quantum Flux and Reverse Engineering of Quantum Wavefunctions
An interpretation of the probability flux is given, based on a derivation of
its eigenstates and relating them to coherent state projections on a quantum
wavefunction. An extended definition of the flux operator is obtained using
coherent states. We present a "processed Husimi" representation, which makes
decisions using many Husimi projections at each location. The processed Husimi
representation reverse engineers or deconstructs the wavefunction, yielding the
underlying classical ray structure. Our approach makes possible interpreting
the dynamics of systems where the probability flux is uniformly zero or
strongly misleading. The new technique is demonstrated by the calculation of
particle flow maps of the classical dynamics underlying a quantum wavefunction.Comment: Accepted to EP
epl draft Quantum Flux and Reverse Engineering of Quantum Wavefunc- tions
PACS 07.05.Rm – Data presentation and visualization: algorithms and implementation Abstract – An interpretation of the probability flux is given, based on a derivation of its eigen-states and relating them to coherent state projections on a quantum wavefunction. An extended definition of the flux operator is obtained using coherent states. We present a “processed Husimi” representation, which makes decisions using many Husimi projections at each location. The pro-cessed Husimi representation reverse engineers or deconstructs the wavefunction, yielding the underlying classical ray structure. Our approach makes possible interpreting the dynamics of systems where the probability flux is uniformly zero or strongly misleading. The new technique is demonstrated by the calculation of particle flow maps of the classical dynamics underlying a quantum wavefunction in simple model systems such as a circular billiard with and without a magnetic field. Introduction. – The probability flux, or probability current, is introduced in quantum mechanics textbooks as a deterministic operator that can be calculated, but its connection to experiment is often left to the reader’