Titlebook: Quantum Mechanics; From Basic Principle Louis Marchildon Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Quantum physics.atomic orbita

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Rotations and Angular Momentum,ted in Chap. 4. Orbital angular momentum operators were introduced in Chap. 7. In Chap. 13 the rotation group was defined. In the present chapter we will first show that group-theoretical concepts afford a synthesis of all results on rotations that have hitherto been obtained. In so doing we will ob

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,Dirac’s Relativistic Equation, is not entirely satisfactory. The Schr?dinger equation is not invariant under the coordinate transformations of the special theory of relativity. This means that it cannot correctly account for relativistic effects which, for inner electrons, are often significant. Furthermore, the Schr?dinger equa

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The Path Integral,ents in terms of a path integral. Next we evaluate that integral in the semiclassical case, that is, when the action associated with the classical trajectory is much larger than Planck’s constant. This will lead to an approximation for the eigenvalues and eigenfunctions of the Hamiltonian of a parti

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Atomic Orbitals,ontext atomic wave functions are taken as products of one-electron wave functions. But this representation is not really adequate. The half-integral spin and the identity of all electrons bring important constraints on atomic wave functions: they must be completely antisymmetric with respect to perm

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Atomic Terms and Multiplets,tate space associated with an electronic configuration. Insofar as the Hamiltonian only involves kinetic and potential energy terms, it commutes with the atom’s orbital and spin angular momentum operators. In simple cases this yields a good approximation for atomic wave functions and energies, the l

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