Variational estimates for excited states
Sep 13, 199436 pages
Published in:
- Phys.Rev.D 51 (1995) 5069-5078,
- Phys.Rev.D 55 (1997) 4496 (erratum)
Report number:
- PRINT-94-0176 (GUELPH)
Citations per year
Abstract: (APS)
Approximate energies for excited states of two- and three-body systems (with confining power law potentials) are obtained by a naive application of the variational method. The error in the excited state energies is similar to the error for ground state energies, less than 1%. The asymptotic form of the energy is obtained directly by semiclassical arguments: the form is correct but the leading coefficient has a small error. A classical variational principle, for the expectation value of the Hamiltonian, for periodic motion with constant action, is also discussed. Variational estimates are used to confirm and extend a negative result on nucleon resonances due to Ho/gaasen and Richard.- 14.20.-c
- 11.10.St
- 03.65.Ge
- 12.39.Pn
- bound state: two-particle
- bound state: (3particle)
- excited state: energy levels
- Schroedinger equation: solution
- potential: linear
- baryon
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