Quantum Mechanics, Non-relativistic Theory |
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Page 56
... condition that the integral ( 18.2 ) is a minimum , the wave function 1 and the energy E1 of the state next to the normal one , we must restrict our choice to those functions which satisfy not only the normalisation condition ( 18.3 ) ...
... condition that the integral ( 18.2 ) is a minimum , the wave function 1 and the energy E1 of the state next to the normal one , we must restrict our choice to those functions which satisfy not only the normalisation condition ( 18.3 ) ...
Page 62
... condition at these points must be 屮= 0 . ( 20.5 ) It is easy to see that this condition is also obtained from the general condition U。( 20.4 ) . For , when Uo → ∞o , we have also since cannot become infinite , it follows that of ...
... condition at these points must be 屮= 0 . ( 20.5 ) It is easy to see that this condition is also obtained from the general condition U。( 20.4 ) . For , when Uo → ∞o , we have also since cannot become infinite , it follows that of ...
Page 416
... condition ( 111.7 ) is satisfied if a » ħv . This is the opposite condition to that for which the Coulomb field can be regarded as a perturbation . We shall see , however , that the quantum theory of scattering in a Coulomb field leads ...
... condition ( 111.7 ) is satisfied if a » ħv . This is the opposite condition to that for which the Coulomb field can be regarded as a perturbation . We shall see , however , that the quantum theory of scattering in a Coulomb field leads ...
Contents
THE BASIC CONCEPTS OF QUANTUM MECHANIC 1 The uncertainty principle | 1 |
2 The principle of superposition | 6 |
3 Operators | 8 |
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A₁ angle antisymmetrical approximation asymptotic atom axes axis C₁ C₂ calculated classical mechanics coefficients collision commute complex conjugate components condition constant continuous spectrum corresponding definite values degeneracy denote determined diagonal discrete spectrum distances effective cross-section eigenfunctions eigenvalues elastic scattering electron terms energy levels expression factor finite follows formula given gives Hamiltonian Hence inelastic infinite infinity integral interaction irreducible representations L₁ L₂ Let us consider linear matrix elements mean value molecule momenta motion normalised nuclei obtain operator orbital angular momentum orthogonal particle perturbation theory physical quantity plane potential energy probability PROBLEM quantity ƒ quantum mechanics quantum number quasi-classical relation respect result rotation scattering amplitude SCHRÖDINGER's equation solution spinor spinor of rank splitting stationary Substituting suffixes symmetry symmetry group tion total angular momentum total spin transformation transitions vanishes variables vector velocity vibrations wave function zero