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Furthermore, since they are also unable to model the spatial evolution of the wave group, inaccurate predictions of the convective accelerations result.
We show that the time evolution of the wave function describing the macroscopic variations of the pair density in BCS theory can be approximated, in the dilute limit, by a time-dependent Gross Pitaevskii equation.
The study is carried out by exploiting the combination between a potential flow method, which is used to describe the evolution of the wave system up to the onset of the modulational instability, and a two-fluids Navier Stokes solver which describes the strongly non-linear air water interaction taking place during breaking events.
For the evolution of the wave function, Bohmian mechanics is formulated in terms of Schrödinger's equation alone.
Von Neumann's axioms of quantum mechanics involve two processes: unitary evolution of the wave function, which is predictable, and the measurement or reduction operation, which introduces unpredictability.
Thus equivariance expresses the mutual compatibility, relative to ρψ, of the Schrödinger evolution of the wave function and the Bohmian motion of the configuration.
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Two characteristic examples of shells of revolution are presented to illustrate some general features of the waveguide properties, demonstrating how the evolution of the waves depends on the axial variation of the shell radius.
The kinetic and potential energies are transformed into the Hamiltonian which acts upon the wave-function to generate the evolution of the wave-function in time and space.
Figure 3 shows the temporal evolution of the wave-like substorm arc intensity versus the longitude and the distance along the arc in the SNKQ ASI field-of-view from 0401 00 to 0405:00 UT.
Campana, S. et al. The association of GRB 060218 with a supernova and the evolution of the shock wave.
The second is that the unitarity in the time evolution of the quantum wave packet is significant.
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