we will look at quantum mechanical systems, in particular, the Schrodinger-Poisson equations. We will create a simulation for the evolution of a wavefunction under its self-potential. Such a system may describe certain superfluids/Bose-Einstein condensate or exotic dark matter." what I do not understand is the following part of the quote. "We will create a simulation for the evolution of a wavefunction under its self-potential." Please explain

we will look at quantum mechanical systems, in particular, the Schrodinger-Poisson equations. We will create a simulation for the evolution of a wavefunction under its self-potential. Such a system may describe certain superfluids/Bose-Einstein condensate or exotic dark matter." what I do not understand is the following part of the quote. "We will create a simulation for the evolution of a wavefunction under its self-potential." Please explain

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Subject Quantum Mechanics. Wave function normalization and superposition of solutions. Wavel functions, ψ1 and ψ2 both normalized. Find a relationship between A and B such that the superposition Aψ1 + Bψ2 is also a normalized solution. I'm having trouble with the integral of |Aψ1 + Bψ2|2 dx. Thank you!