By F. Iachello, R. D. Levine

ISBN-10: 0195080912

ISBN-13: 9780195080919

ISBN-10: 0195359739

ISBN-13: 9780195359732

**Read or Download Algebraic Theory of Molecules (Topics in Physical Chemistry Series) PDF**

**Similar chemistry books**

**Download PDF by Moody C.J. : Advances in Nitrogen Heterocycles, Volume 3**

This quantity encompasses a variety of themes corresponding to the activation and manipulation of pyrroles, the synthesis of annelated pyrroles utilizing acylation reactions and the synthesis of kainoids, a family members of hugely biologically lively nitrogen heterocycles.

**Roy W. Tess and Gary W. Poehlein (Eds.)'s Applied Polymer Science<span class="edition", Second PDF**

Content material: A century of polymer technology and expertise / Herman F. Mark -- advent to polymer technological know-how and expertise / Charles E. Carraher, Jr. and Raymond B. Seymour -- Anionic polymerization / Maurice Morton -- Coordinated anionic polymerization and polymerization mechanisms / Frederick J. Karol -- fresh advancements in cationic polymerization / Virgil Percec -- Emulsion polymerization / Gary W.

- Biochemical Responses Induced by Herbicides
- Houben-Weyl Methoden der organischen Chemie vol.E6a Hetarenes I, Part 1
- Surface Chemistry of Biological Systems: Proceedings of the American Chemical Society Symposium on Surface Chemistry of Biological Systems held in New York City September 11–12, 1969
- Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Springer Series in Synergetics 13)
- N-Heterocyclic Carbenes in Transition Metal Catalysis and Organocatalysis
- Immunochemical assays in pesticide analysis

**Additional info for Algebraic Theory of Molecules (Topics in Physical Chemistry Series)**

**Example text**

The simple examples discussed in this section illustrate the main properties of the algebraic method. By introducing the unitary algebra in 2 = (1+1) dimensions, one can simultaneously describe harmonic and anharmonic oscillators. Within the general description, two limiting cases can be solved exactly: (1) the purely harmonic oscillator V(x) = V0x2 corresponding to the subalgebras U(l) of U(2) and (2) the Morse oscillator V(x) = V0(l - e'^'^)2, corresponding to the subalgebra O(2) of U(2). For those two cases one can obtain explicit Summary of Elements of Algebraic Theory 35 expressions for the energy eigenvalues.

Therefore we limit our discussion to Lie algebras. It has become customary to denote both algebras and groups by the same capital letters. We shall follow this notation in this book as well. It is increasingly the case that one refers to the operators of the algebra as the generators even when the group is not the object of direct interest. In making the connection to the differential equations form of quantum mechanics we shall use a realization of the operators X as differential operators. 4.

As a result, they are diagonal in the basis [^, A , 2 , . . , X,v], Summary of Elements of Algebraic Theory 25 The eigenvalues / have been evaluated for any Casimir operator of any Lie algebra, and a summary of the results is given in Appendix A. Using the expressions of the appendix, we find, for example, that the eigenvalues of the Casimir operator of SO(3), J2, in the representation I/ > is a familiar result. 6 Algebraic realization of quantum mechanics In Chapter 1 we have discussed the familiar realization of quantum mechanics in terms of differential operators acting on the space of functions (the Schrodinger wave function formulation, also called "wave mechanics").

### Algebraic Theory of Molecules (Topics in Physical Chemistry Series) by F. Iachello, R. D. Levine

by Daniel

4.5