EP 228: Quantum Mechanics Lecture 2: review of particle in a box, potential well, barrier,harmonic oscillator P. Ramadevi, 2 nd floor Dept of Physics, IIT Bombay rama0072006@gmail.com Extn: 7563
Particle in a one-dimensional box
Particle in a two dimensional box • We will first write schrodinger equation in two dimensions • Seperable wavefunctions for potential energy U(x,y)= u(x)+v(y) • Then, we will look at the solution for the particle in the two-dimensional box
Two dimensional Schrodinger equation
Finite potential well
Wavelength in the finite potential well is greater than that in infinite well
Time-dependent wavefunction
Tunnel effect • We have seen infinite potential well and finite potential well problems. • Also for time independent potential energy, we know the time dependence of the wavefunction.
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