同济大学：《大学物理》课程教学资源（电子教案，英文版）量子3

HEISENBERG DEPT.OF PHYSICS Schrodinger's Equation YOU RRE PROBABL A HERE chase

Schrödinger’s Equation

Agenda today 1.Wave function 2.Schrodinger's equation 3.One dimensional trap 4.Tunnel effect

Agenda today 1. Wave function 2. Schrödinger’s equation 3. One dimensional trap 4. Tunnel effect

Wave function(波函数) What is it really? Guide wave? Wave packet? Density wave?

Wave function(波函数） What is it really? Guide wave? Wave packet? Density wave?

Schrodinger's equation(薛定谔方程)：(1926) 2ΨG,0=[ 7+Uc,ΨG0 Where U is the potential energy for the particle. Laplace operator: 62 idingi. 2+ y2+0z2

Schrodinger’s equation（薛定谔方程）:(1926) ( , )] ( , ) 2 ( , ) [ 2 2 U r t r t m r t t i              Where U is the potential energy for the particle. 2 2 2 2 2 2 2 x y  z          Laplace operator:

Time-independent Schodinger equation: 定态薛定谔方程) V(B--0 2m Where is called time-independent wave function,E is the total energy of the system In one dimensional case d2，2m dx2 (E-0w=0

Time-independent Schodinger equation: 定态薛定谔方程） Where  is called time-independent wave function, E is the total energy of the system In one dimensional case