Upper and lower limits for the number of S-wave bound states in an attractive potential
arXiv:math-ph/0210046 · doi:10.1063/1.1532107
Abstract
New upper and lower limits are given for the number of S-wave bound states yielded by an attractive (monotonic) potential in the context of the Schrodinger or Klein-Gordon equation.
arXiv comment21 pages, 4 figures, to appear in J. Math. Phys
References in corpus (3)
Cited by in corpus (18)
- Transition states and the critical parameters of central potentials
- Necessary and sufficient conditions for existence of bound states in a central potential
- Upper and lower limits on the number of bound states in a central potential
- What do non-relativistic CFTs tell us about Lifshitz spacetimes?
- The auxiliary field method in quantum mechanics
- Semirelativistic Hamiltonians and the auxiliary field method
- Upper limit on the number of bound states of the spinless Salpeter equation
- Upper limit on the critical strength of central potentials in relativistic quantum mechanics
- Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
- Sufficient conditions for the existence of bound states in a central potential
- Critical strength of attractive central potentials
- Existence of mesons after deconfinement
- Lower limit in semiclassical form for the number of bound states in a central potential
- A class of (-dependent) potentials with the same number of (-wave) bound states
- Further developments for the auxiliary field method
- Upper and lower bounds on the mean square radius and criteria for occurrence of quantum halo states
- On the decrease of the number of bound states with the increase of the angular momentum
- Quasinormal Modes of Gauss--Bonnet Black Holes via the Spectral Method: Scalar, Vector, and Tensor Perturbations