Upper and lower limits for the number of S-wave bound states in an attractive potential
F. Brau (U. of Mons, Belgium), F. Calogero (U. of Roma, Italy)
TL;DR
This paper establishes new theoretical upper and lower bounds on the number of S-wave bound states that can exist in an attractive potential within quantum mechanics, specifically for the Schrödinger and Klein-Gordon equations.
Contribution
It provides novel bounds for the count of S-wave bound states in attractive monotonic potentials, advancing understanding in quantum bound state theory.
Findings
Derived new upper bounds for S-wave bound states.
Established lower bounds for the number of bound states.
Applicable to both Schrödinger and Klein-Gordon equations.
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.
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