2d_cheby_sqwell.avi

Solution to Schrodinger's equation in 2s square well via an expansion of the complex exponential in Chebyshev polynomials.

Category:

Science & Technology

Tags:

• physics
• quantum
• numerical

[OpenSourceSci]

What's actually represented here: is the height the modulus of the wave function and the color representing its (complex) argument? What I'm more curious about, though: how many basis functions did you need in each dimension? (You're using a tensor product of Chebyshev poly's, right?)

[benchcomptons]

@OpenSourceSci it's the modulus of the wave function. Color is just what matlab's 'surf' gave me by default. No tensor products anywhere, the Chebyshev polynomials are used as an approximation to the complex matrix exponential e^(iHt) to advance the solution of d/dt psi = iH psi

[benchcomptons]

boooooring!!!

[benchcomptons]

@cronos4d The bumps at the beginning are possible locations for an electron. As time progresses the places the electron can reach change. The change is governed by Schrodinger's wave equation in its time dependent form.

How probable it is that the electron is found in a certain region is related to the height of the wave.