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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) because of obstacles given by changes in the potential Energy . Although the potential determined the space-dependent wavefunction, there was no limitation imposed on the possible wavenumbers and energies involved.

can predict for example the discrete emission spectrum of atoms and the nuclear binding energy. 4.1.1 . 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 ...

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