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Time Dependent Behaviour of Particles
Particle in a Central Field
2 other sections not shown
according amplitude approximation arbitrary assume atom barrier calculate central field central potential centre of mass classical mechanics coefficients commutes complete orthogonal system consider constant coordinates corresponding crystal decay degeneracy depends described determined differential equation discussed eigenfunctions eigenstates eigenvalue electromagnetic electrons energy band energy levels energy spectrum energy values expectation value expression finite forbidden bands free particle frequency given Hamilton operator Hamiltonian harmonic oscillator harmonic waves Hartree Hermitian operator infinitely integral interval introduce lattice linear magnitude main quantum number mean value momenta momentum components momentum operators normalized nucleus odd functions parity physical polynomial possible potential box potential energy potential wall probability density problem quantity quantum mechanics region result satisfy Schrodinger equation seen space spherical spherical harmonics spin stationary Schrodinger equation stationary wave functions superposition total angular momentum total energy uncertainty relations velocity wave number wave packet wave vector wavelength width x-axis zero