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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.

Take a look at a selection of quantum wave packet animations from our YouTube channel and Twitter account. Every animation was produced by solving the time-dependent Schrödinger equation for a non-relativistic quantum particle and visualising the particle's probability density.

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.

Find the general solution to the following differential equation. The equation can be solved as follows.