PX262 - C1a - the wavefunction

in the examples before (infinite well, harmonic oscillator), the wavefunction describes the system, where each wavefunction corresponds to a single energy of the system
the wavefunction needs to satisfy some properties:
- finite, single-valued, differentiable
- its modulus squared must be integrable with a finite integral
it was related to the chance of finding a particle in a specific position