These functions can be defined by considering a scalar function equal to a ket on a Hilbert space.
These functions can be defined by considering a scalar function equal to a ket on a Hilbert space. The Born-Oppenheimer approximation decomposes this value as a product of an electronic and a nuclear one. The square of the magnitude of this value gives the probability density function for a given state. Fermions have antisymmetric ones and bosons have symmetric ones. These values are eigenfunctions of the (*) Hamiltonian, meaning that they are solutions to the Schroedinger equation. Each atomic orbital in the hydrogen atom corresponds to one of these, which collapses under measurement. For 10 points, name this value symbolized psi, which encodes the current state of a quantum mechanical system.
These functions can be defined by considering a scalar function equal to a ket on a Hilbert space.
wavefunction [or psi before mention]