ISSN:
1434-6079
Keywords:
03.65.Ge
;
32.60.+i
;
31.10.+z
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Many Hamiltonians contain more than one parameter which can be used for making perturbation expansions. Lagrangian or other suitable interpolations of these perturbation series can incorporate all known analytic results and often considerably enlarge the domain of accuracy in parameter space. We point out that many physically interesting nonrelativistic potential problems fall into this class since 1/N (N=number of spatial dimensions) is very often available as one parameter, and large-N expansions are generally very successful. We apply this philosophy of combining the 1/N series with other more standard expansions to find the energy levels of the rotating harmonic oscillator and the ground state energies of the Zeeman Hamiltonian and the helium isoelectronic sequence.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01436666
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