Physics to Go! Part 1|教育線上App不用買-HotApp4Game

Physics to Go! Part 1 - Interactive Quantum Mechanics The app calculates the basic formula of quantum mechanics, the one-dimensional Schrödinger equation for a set of predefined potentials or a self-defined potential.The main page contains fields/lists for setting the size of the box of the system by setting x_min and x_max setting the step size dt for the time evolution, smaller values give more accurate results picking a potential. Choosing user defined you can write an expression in the field "potential" (like x^2). The parser is relatively simple. It unses "x" as variable, "+-*/^", brackets "()" and the functions sin,cos,tan,exp,log,step (step(x)=1 for x>=0, otherwise 0), and abs (absolute value).With "turn" you reach the plotting window. The plot shows real (blue) and imaginary (red) part of the wave function, the right y-axis shows the values for the wave functions. The potential is plotted in black (values correspond to left y-axis). The white line depicts the energy of the state.Following controls exist: With "width" and "position" you can define the width and position of the initial Gaussian wavefunction. By pressing "Init Function" the wave function is initialized. Pressing "Plot" starts the plotting of the time evolution of the wave function. With "Stop" you interrupt the calculation. Choosing "real" or "imaginary" you can pick the evolution of the wave function in real or imaginary time. In imaginary time the solution will relax to the static ground state. Using real time you see the oscillation of the wave function with time. The stability of the real-time behavior can depend on the size of the chosen time step. Note that especially for narrow potentials the real-time solution can become unstable (and obviously incorrect) at this stage of the app development. You can plot the "groundstate" or first "excited state". When picking the excited state, the ground state will change colors to orange and purple. With "Turn" you will reach again the main page. Enjoy!