tailieunhanh - Ideas of Quantum Chemistry P13

Ideas of Quantum Chemistry P13 shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field. | 86 2. The Schrödinger Equation M J M J quantizes its component along the z axis and n 1 represents the parity with respect to the inversion. As to the invariance with respect to permutations of identical particles an acceptable wave function has to be antisymmetric with respect to the exchange of identical fermions whereas it has to be symmetric when exchanging bosons. The time-independent Schrödinger equation Hp Ep has been derived from the wave equation and the de Broglie equation. Solving this equation results in the stationary states and their energies. This is the basic equation of quantum chemistry. The prevailing weight of research in this domain is concentrated on solving this equation for various systems. The time-dependent Schrödinger equation Hp ih dp represents the time evolution of an arbitrary initial wave function. The assumption that translation in time is a unitary operator leads to preserving the normalization of the wave function and of the mean value of the Hamiltonian. If the Hamiltonian is time-independent then one obtains the formal solution to the Schrödinger equation by applying the operator exp H to the initial wave function. The time evolution of the stationary state p is most interesting in the case of suddenly switching the perturbation V. The state is no longer stationary and the wave function begins to change as time passes. Two cases have been considered time-independent perturbation periodic perturbation. Only in the case of a time-dependent perturbation may the system change the energy state. Main concepts new terms symmetry of the Hamiltonian p. 57 invariance of theory p. 58 translational symmetry p. 61 spectroscopic state p. 62 rotational symmetry p. 63 baryon number p. 64 lepton number p. 64 gauge symmetry p. 64 inversion p. 65 symmetry P p. 65 enantiomers p. 67 symmetry C p. 68 charge conjugation p. 68 stationary state p. 70 Schrodinger equation p. 70 bound state p. 73 wave function matching p. 73 mathematical solution p. 76 .

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