The generalized continued fractions and potentials of the Lennard-Jones type
Copyright policy )The generalized continued fractions and potentials of the Lennard-Jones type
For a broad class of the strongly singular potentials V(r), which are defined as superpositions of separate power-law components, the general solution of the corresponding Schrödinger differential equation is constructed as an analog of Mathieu functions. The analogy is supported by the use of the (generalized) continued fractions. The questions of convergence are analyzed in detail.
- Czech Academy of Sciences Czech Republic
- Institute of Nuclear Physics Uzbekistan
- Academy of Sciences Republic of Uzbekistan Uzbekistan
Applications of functional analysis in quantum physics, potentials of the Lennard-Jones type, General theory of partial differential operators, generalized continued fractions, superpositions of separate power-law components, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Schrödinger differential equation, Mathieu functions, Equations and inequalities involving linear operators, with vector unknowns
Applications of functional analysis in quantum physics, potentials of the Lennard-Jones type, General theory of partial differential operators, generalized continued fractions, superpositions of separate power-law components, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Schrödinger differential equation, Mathieu functions, Equations and inequalities involving linear operators, with vector unknowns
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