Quasiexacly solvable quartic potentials
Jun, 2000Citations per year
Abstract: (IOP)
A-symmetrized radial Schr?dinger equation inDdimensions is considered with complex potentialsV(x) = -x4+ iax3+bx2+ icx+ idx-1. Finite (though arbitrarily large) multiplets of exact bound states are constructed analytically. Their elementary form is determined by a single, finite-dimensional secular equation. It interrelates their energies and couplings. In one dimension one gets Bender and Boettcher'sd= 0solutions.Note:
- 13 pages, 1 figure, submitted to J. Phys. A: Math. Gen
- gauge field theory: Yang-Mills
- differential geometry: noncommutative
- field theory: torus
- fibre bundle
- soliton: BPS
- membrane model: D-brane
- bound state
- boundary condition
- duality: SO(4,4/Z)
References(8)
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