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A quantum particle passes through an opaque screen with two slits, resulting in an interference pattern. The time evolution of the probability density is determined by numerically solving the time-dependent Schrödinger equation.

Find the following integral. Here are two solutions.

Solve the following differential equation. The equation can be solved as follows.

Find the following integral. Solution:

Solve the following differential equation. The equation can be solved as follows.

Counterintuitive reflection of a quantum particle from a downward potential step. Wait for it!

Find the following integral. Solution:

Solve the following differential equation. The equation can be solved as follows.

Find the following integral. Here are two solutions.

The probability density (i.e. the modulus squared of the wave function) of a non-relativistic quantum particles spreading inside an egg shaped cavity. The equation of the cavity's boundary is r = cos³(φ) + 0.2*cos(φ)*sin²(φ). The time-evolution of the wave function was obtained by solving the time-dependent Schrödinger equation.

Solve the following differential equation. The equation can be solved as follows.

Find the following integral. Here is one way to do it.