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THE DUAL NATURE OF MATTER AND RADIATION
STATE FUNCTIONS AND THEIR INTERPRETATION
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according to equation antisymmetric approximation arbitrary atom behavior bound calculation center-of-mass classical limit coefficients commutation relation configuration space consider continuum coordinates correspondence principle corresponding cross section defined definite degeneracy degenerate denote dependent differential Dirac discussion dynamical variables eigenfunctions eigenstates eigenvalues electron equa evaluate example expectation value expression external force factor Figure first-order follows free particle Gaussian given ground state energy Hamiltonian harmonic oscillator hence Hermitian operators identical particles independent initial integral interaction introduce linear momentum matrix elements means momentum space motion normalized Note observed obtain orbital angular momentum perturbation theory position potential precise Problem properties quantum mechanical quantum number representation result satisfied scattering amplitude Schrodinger's equation seen Show solutions of Schrodinger's Specifically spectrum spherical spin one-half square stationary superposition symmetric tion trial function uncertainty principle unperturbed vanishes vector verified wave function wave packet wavelength whence width WKB approximation write zero