Joseph Fourier (1768-1830).

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Presentation transcript:

Joseph Fourier (1768-1830)

Erwin Schrödinger

An additional postulate of Quantum Mechanics (!) The Time-Dependent Schrödinger Equation Given the Hamiltonian operator: m=mass; V(x)=potential energy The time-independent Schrödinger Eq. (in 1D) reads: The time-dependent Schrödinger Eq. reads: An additional postulate of Quantum Mechanics (!)

Given a solution of the time independent Schrodinger Eq. then: solves the time-dependent Schrödinger Eq. (!). It represents a stationary state solution since the associated probability density is time-independent: