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[3. Schrödinger equations.]

A brief recapitulation.

A quantum state is described by a complex function Ψ. Every physical quantity is defined by a quantum operator which satisfies the first Schrödinger equation. The eigenvalues determine the possible value of the quantity. The function Ψ is represented as a sum of the eigenfunctions; the expansion coefficients give the probability of every possible value of the quantity. The time dependence of Ψ is described by the second Schrödinger equation, which determines Ψ at every time. Thus the probability of every admissible value of every physical quantity is determined.

Second Schrödinger equation

Tunnel effect