70 likes | 535 Vues
Joseph Fourier (1768-1830). Erwin Schr ö dinger. The Time-Dependent Schr ö dinger Equation Given the Hamiltonian operator :. m=mass; V(x)=potential energy. The time- in dependent Schr ö dinger Eq. (in 1D) reads:. The time-dependent Schrödinger Eq. reads:. An additional postulate
E N D
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: