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The Schrodinger Equation and Its Mathematical
The Free Particle
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a-particle amplitude approximation assumption average value beam Bohr Born's Broglie Chapter classical mechanics classical theory coefficients commutation consider constant coordinates corresponding density derived determined differential equation diffraction discussed dx dy dz dynamical quantities eigenfunctions electron energy eigenvalues energy levels energy value equal equation of motion experimental expressed finite first-order formula frequency given by Eq Hamiltonian harmonic oscillator hydrogen atom infinity initial condition integral linear harmonic oscillator magnetic mathematical matrix elements method nucleus obtained old quantum theory operator orbit perturbation theory photoelectric effect photon Planck constant plane wave position and momentum probability distribution problem quantized quantum condition quantum mechanics radiation field represents result satisfy scattering Schrodinger equation Section slit solution of Eq solved specified spherical superposition Theorem time-dependent Schrodinger equation tion transition uncertainty principle uncertainty relation unperturbed variables vector velocity wave function wave packet wave theory wavelength x-axis zero