Abstract
The Schroedinger equation for the system of a quantum particle moving in a general potential is established as the fundamental time-evolution equation. The concept of probability current density is introduced and the Equation of Continuity is derived, expressing the local conservation of probability. The Hamiltonian operator is introduced and the Schroedinger equation is expressed in terms of it. The concept of stationary states as solutions of the time-independent Schroedinger equation is introduced. The general solution of the Schroedinger equation is derived.
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