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4. Energy Levels - MIT OpenCourseWare

4. Energy Levels Bound problems Energy in Square infinite well (particle in a box) Finite square well Quantum Mechanics in 3D: Angular momentum Schr odinger equation in spherical coordinates Angular momentum operator Spin angular momentum Addition of angular momentum Solutions to the Schr odinger equation in 3D The Hydrogen atom Atomic periodic structure The Harmonic Oscillator Potential Identical particles Bosons, fermions Exchange operator Pauli exclusion principle Bound problems In the previous chapter we studied stationary problems in which the system is best described as a (time-independent) wave, scattering and tunneling (that is, showing variation on its intensity)

Energy in Square infinite well (particle in a box) The simplest system to be analyzed is a particle in a box: classically, in 3D, the particle is stuck inside the box and can never leave. Another classical analogy would be a ball at the bottom of a well so deep that no matter how much ... This condition then in turns sets the allowed values ...

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