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WAVEPACKET: A MATLAB PACKAGE FOR NUMERICAL QUANTUM
Apr 1, 2017 The graphical capabilities allow visualization of quantum dynamics ‘on the fly’, including Wigner phase space representations. Being easy to use and highly versatile, WavePacket is well suited for the teaching of quantum mechanics as well as for research projects in atomic, molecular and optical physics or in physical or theoretical chemistry.
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SCHRODINGER EQUATION SIMULATOR
Schrodinger Equation Simulator Quickstart This is a one-dimensional Schrodinger equation simulator with customizable initial state and potential. The simulator numerically evolves the wavefunction forward in time, following the Schrodinger equation. The wavefunction's amplitude | ψ (x) | is shown as the moving graph and the colors correspond to the phase. Press the …
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3. TIME EVOLUTION - WEBER STATE UNIVERSITY
The phase velocity of the wavefunction is only half the velocity of the particle! This may seem like nonsense, but it's not, because you don't measure a particle's velocity by measuring the phase velocity of the ripples within its wavefunction. Now would be a good time to explore the Sinusoidal Wave animation that is linked from our course web ...
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NUMERICAL SIMULATION OF THE TIME-DEPENDENT SCHRöDINGER …
Oct 14, 2024 The simulation program is designed to demonstrate the time evolution of the wavefunction of an electron in a one-dimensional potential well using the Crank-Nicolson method, a numerical scheme that ensures stability and accuracy by being unconditionally stable and second-order accurate in both time and space.
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WAVEFUNCTION VISUALIZER - RIDICULOUS_FISH
You do more than just plug time and space into the wavefunction! You plug the wavefunction itself into all sorts of integrals, from which you determine many dynamical properties: position, velocity, kinetic energy, momentum, and so on. You also do algebra on wavefunctions: add them to each other, multiply them by scalars, and so on.
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VISUALIZING QUANTUM PHYSICS - 1 | TIME EVOLUTION OF A WAVE
A python simulation of the time evolution of the wave function associated with a quantum particle in a one dimensional box ( also called the infinite square well). The first footage shows a ...
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QUANTUM MECHANICS - TIME EVOLUTION OF GAUSSIAN WAVE PACKET
More on Gaussian wave packets. Time evolution of a Gaussian wave packet is e.g. worked out in my Phys.SE answer here.
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LECTURE NOTES, CHAPTER 6. TIME EVOLUTION IN QUANTUM …
In the plot the absolute value square of the wavefunction is shown in blue (corresponding to the position probability density) for a system approaching the classical limit (left) or showing more quantum behavior.
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PH125: QUANTUM MECHANICS - CALTECH ASTRO OUTREACH
Gaussian Wave Packets The Gaussian wave packet initial state is one of the few states for which both the {|x i} and {|p i} basis representations are simple analytic functions and for which the time evolution in either representation can be calculated in closed analytic form. It thus serves as an excellent example to get some intuition about the Schr ̈odinger equation.
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QUANTUM WAVEPACKETS - WEBER STATE UNIVERSITY
This simulation shows the time evolution of a one-dimensional, nonrelativistic quantum wavefunction that is built out of Gaussian wavepackets. There are no forces acting on the particle within the region shown. However, the wavefunction is always zero at the edges of the region, so the particle is effectively trapped in an infinitely deep potential well. When a wavepacket hits …
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