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The method of self-adjoint ladder operators introduced in Part I has been used to study the isotropic harmonic oscillator and both the nonrelativistic and relativistic (Dirac) Kepler problems in a space of n dimensions. In addition, a brief discussion of the dynamical (noninvariance) group 0 ( (...
A brief selection of problems occurring in the interpretation of planetary atmospheres, the resolution of which demands a knowledge of atomic collision processes, is presented. The selection is largely arbitrary.
This work reviews some recent developments in the theory of nuclear matter. Assuming familiarity with the basic Brueckner-Goldstone theory described in the preceding article by B. Day, it is first shown that the Brueckner-Goldstone series does not converge in powers of the reaction matrix, and...
The problem of liquid helium is treated in terms of the theory of collective coordinates, applying a canonical transformation similar to that used previously for plasmas. This treatment provides further physical and mathematical insights into the origin of phonons, and into the nature of the...
The basic ideas of the Brueckner-Goldstone theory of nuclear matter are presented in a simple way. The treatment is aimed at beginners and nonspecialists. It is supposed to provide the necessary background for the review article by Bethe and Rajaraman which follows this paper. Therefore, the...
The Goldstone expansion is rederived by elementary time-independent methods, starting from Brillouin-Wigner (BW) perturbation theory. Interaction energy terms Δ E are expanded out of the BW energy denominators, and the series is then rearranged to obtain the linked-cluster result. Similar...
The moderately long-range interaction energies of degenerate atoms for nonresonant cases have been studied throughout the moderately long-range region. Extensive tabulation of necessary parameters and atomic properties for the calculation of the first-order quadrupole-quadrupole interaction...
Theoretical studies of atom-atom collision processes which may be relevant to the interpretation of astrophysical phenomena are reviewed. Work on excitation, ionization, and electron capture in atomic hydrogen by fast protons and He + ions is summarized. Processes involving slow collisions that...
The theory of self-adjoint ladder operators is outlined, a comparison being made with the more usual type of ladder operator. It is shown how the method applies to the n -dimensional orbital angular momentum problem, for which it is found that the ladder operator may be expressed as a linear...
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