Approximation Methods in Quantum Mechanics
W. A. Benjamin, 1969 - Approximate computation - 146 pages
"The principal aim of this book is to acquaint students beginning research in physics with the qualitative methods most widely used in theoretical physics." --Preface.
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Dimensional and Model Approximations
Various Types of Perturbation Theory
The Quasiclassical Approximation
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analytic continuation analytic properties angular momentum assume asymptotic form asymptotic series atomic electrons atomic units boundary conditions branch point bremsstrahlung calculate charge exchange classical coefficient collision Consequently consider coordinate correspondence principle corresponding Coulomb potential decreasing deﬂection deformation dielectric constant dipole eigenfunctions elec electromagnetic field emission energy levels equal ergy excitation exponentially small expression ﬁeld formula Fourier components frequency given Hamiltonian Hence hydrogen atom impact parameter incident particle integral integrand interaction ionization potential Lamb shift Let us estimate Let us find matrix element molecule motion nucleons nucleus number of nodes order of magnitude oscillator perturbation theory photoeffect photon physical quantities probability of ionization quantum mechanical quantum number quasiclassical approximation quasiclassical solution radiation radius real axis region rmin scattering amplitude scattering angle scattering cross section Schrodinger's equation Section 1.1 shells singularity Suppose term tion transition trons unity velocity vibrational wave function