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Time Dependent Behaviour of Particles
Particle in a Central Field
2 other sections not shown
acceptable solutions according amplitude approximation arbitrary assume atom barrier calculate central field central potential centre of mass classical mechanics coefficient commutes complete orthogonal system consider constant coordinates corresponding Coulomb field 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 mean value momenta momentum components motion normalized nucleus obtain one-dimensional orthogonal parity physical polynomial possible potential box potential energy probability density problem quantity quantum mechanics radial equation reflexion region result satisfy Schrodinger equation seen space spherical spherical harmonics spin stationary wave functions superposition total energy uncertainty relations velocity wave number wave packet wave vector wavelength width written x-axis zero