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Vinitskij, S.I.; Puzynina, T.P.; Puzynin, I.V.
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1982
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1982
AbstractAbstract
[en] A higher accuracy of difference solutions to system of the Schroedinger equations with potentials given by tables is achieved by their extrapolation to a sequence of difference nodes. To this end the potentials are extended onto these nodes by cubic splines. The difference solution is shown to be of an order of O(Δ4), where Δ is a step of the potential table. The theoretical estimate has been verified by numerical solution to the Schroedinger equation with the Morse potential. The improvement achieved in the energy value for some states of μ-mesic molecules of hydrogen isotopes is of an order approximately 5x10-3 eV
Original Title
Approksimatsiya splajnami tablichnykh potentsialov uravneniya Shredingera dlya utochneniya raznostnykh reshenij
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1982; 15 p; 19 refs.; 10 tabs.
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