We used Wick’s normal-ordering technique, squeezed creation and annihilation operators, and a variation method, to find the eigenvalues of the general pure ?x2m potential. Numerical results for low-lying energy levels of pure quadratic, quartic, sextic, octic and decatic potentials, for different values of ? were obtained. Some interesting features of these energy levels are explained.

We consider diffusion-limited reactions A(i)+A(j)--> (1< or =i2 and d> or =2, we argue that the asymptotic density decay for such mutual annihilation processes with equal rates and initial densities is the same as for single-species pair annihilation A+A-->. In d=1, however, particle segregation occurs for all q< infinity. The total density decays accordi...

using positron annihilation spectroscopy M. Liu, R. S. Vallery, D. W. Gidley, M. E. Launey, and J. J. Kruzic Department of Physics, Randall Laboratory, University of Michigan, Ann Arbor, Michigan 48109, USA Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA Materials Science, School of Mechanical, Industrial, and Manufacturing Engineering, Oregon...

Eigenstates of the linear combinations a 2 + βa †2 and ab + βa † b † of two boson creation and annihilation operators are presented. The algebraic procedure given here is based on the work of Shanta et al. 1994] for constructing eigenstates of generalized annihilation operators. Expressions for the overlaps of these states with the number states, the coherent states and the squeezed states are ...

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the six most important event shape variables related to three-particle final states in electronpositron annihilation. The corrections are sizeable for all variables, however their magnitude is substantially different for different observables. We observe that the NNLO corrections yield a considerably better agreement between...