By J. M. Ziman
It is a textbook of complex quantum conception for graduate scholars and learn staff which provides a hooked up mathematical derivation of the real effects, targeting the relevant principles with no burdening the exposition with intricate aspect or pointless rigour, and explains, within the easiest attainable phrases, the symbols and ideas which regularly confront the energetic study employee in reliable nation, nuclear and high-energy physics, and in theoretical chemistry. Professor Ziman brings to his activity the sympathetic tips of a lecturer who has no longer forgotten the problems that he himself needed to surmount in learning his topic.
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Example text
SURVEY OF CLASSICAL MECHANICS 16 (I-2c in 1834 showed that the equations of motion can into an especially simple form, involving thrown be way of the pk's and qk's called the Hamiltonian function. a function For con2b. The Hamiltonian Function and Equations. 1 is the total servative systems. we shall show that the function Hamilton Pk. in this H H energy (kinetic plus potential) of the system, expressed in terms In order to have a definition which holds of the pk's and g^'s. for more general systems, we introduce H by the relation 3n H = 2W* - L(q k, q k ).
Is The , quadratic terms in the expansions in powers of x\/\ Zn/X form a quantity Q called the quadrupole moment of the system, The rate and higher powers form higher moments. of emission of radiant energy as a result of the change of quadrupole and higher moments of an atom or molecule is usually negligibly small in comparison with the rate of dipole emission, and in consequence dipole radiation alone is ordinarily discussed. Under some circumstances, however, as when the intensity of dipole radiation is zero and the presence of very weak radiation can be detected, the process of quadrupole emission 4.
10) 3, 22 (1925). 4 E. SCHRODINGER, Ann. d. Phys. 79, 734 (1926). 1 and 6 6 P. C. ECKART, Phys. Rev. 28, 711 (1926). M. DIRAC, Proc. Roy. Soc. A 113, 621; 114, 243 (1927); 117, 610 P. A. (1928). CHAPTER III THE SCHRODINGER WAVE EQUATION WITH THE HARMONIC OSCILLATOR AS AN EXAMPLE In the preceding chapters we have given a brief discussion of the development of the theory of mechanics before the discovery Now we begin the study of the quanof the quantum mechanics. mechanics tum itself, starting in this chapter with the Schrodinger wave equation for a system with only one degree of freedom, the general principles of the theory being illustrated by the special example of the harmonic oscillator, which is treated in great detail because of its importance in many physical problems.