The Trajectory-coherent Approximation and the System of Moments for the Hartree Type Equation

  title={The Trajectory-coherent Approximation and the System of Moments for the Hartree Type Equation},
  author={A. YU. TRIFONOV V. V. BELOV and Alexander V. Shapovalov},
The general construction of quasi-classically concentrated solutions to the Hartree type equation, based on the complex WKB–Maslov method, is presented. The formal solutions of the Cauchy problem for this equation, asymptotic in small parameter ~ (~→ 0), are constructed with a power accuracy of O(~), where N is any natural number. In constructing the quasi-classically concentrated solutions, a set of Hamilton– Ehrenfest equations (equations for centered moments) is essentially used. The… CONTINUE READING


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