Abstract

Numerical techniques for the integration of the Schrödinger equation in imaginary time are investigated. Because the spatial dependence of the solution in the limit of large imaginary time is that of the ground state of the Hamiltonian, the method can be applied to bound states of quantum-mechanical three-body systems. Knowledge of the analytic dependence of the asymptotic form of the wavefunction on the trial eigenvalue is not required. In this paper, the first of a series, we have confined our attention to the problems arising from the imaginary time integration and reserve for a later date a discussion of the problems that are due to a multidimensional spatial grid.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.