article
A variational solution of the time-dependent Schrodinger equation
Molecular Physics · 1964 · Vol. 8(1) · pp. 39–44
A. McLachlan✉(NOAA Chemical Sciences Laboratory)
Abstract
Abstract A variational method is described for finding approximate solutions of the time-dependent Schrodinger equation. It is closely related to Frenkel's, but better in some respects because it always leads to a true minimum of the error. For several interacting systems it leads to the time-dependent Hartree equations; for a system in an oscillating electric or magnetic field it gives a variational principle for calculating the susceptibility at any frequency.
Mechanical and Optical ResonatorsQuantum Electrodynamics and Casimir EffectAdvanced Thermodynamics and Statistical MechanicsSchrödinger equationVariational methodVariational principleHartreePhysicsMagnetic fieldQuantum electrodynamicsMathematicsQuantum mechanicsMathematical physics
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