Journal of Physics A Mathematical and General · 1977 · 50 citations · 2 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsQuantum MechanicsIntegral Equation FormulationsIntegral EquationsPartial Differential EquationsAiry FunctionsIntegral Form FormulationPartial DerivativesProperties Of Definite IntegralsQuantum Mechanical Model
A large number of indefinite integrals of the form integral xny1y2dx have been evaluated in terms of x, y1, y2 and their first derivatives; y1 and y2 are both solutions of the differential equation y"=xy. Some of these integrals can be applied to the quantum mechanical problem of a particle in a uniform field of force.
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R. L. Gibbs · American Journal of Physics · 1975 · 96 citations