A non-perturbative approach to the bound polaron

N. N. Bologyubov, V. N. Plechko

Martin Hohenadler, Gerhard Wellein, Andreas Alvermann +1 more

Nikolay N. Bogolubov, Nikolay N. Bogolubov

S. Mukhopadhyay, Tapas Mitra

For pt.II see ibid., vol.13, p.3193 (1980). The formal difficulties of the non-perturbative iteration variational method proposed recently for the ground state of the bound polaron problem are removed by a rigorous method of canonical transformation which not only yields essentially equivalent results but also extends its validity to excited states.

S. Mukhopadhyay, Tapas Mitra

For pt.I see Phys. Lett. A, vol.71, p.385 (1979). A recently developed non-perturbative iterative variational method has been applied to the bound polaron problem. The electron-phonon Hamiltonian is reduced in successive orders resulting in a transformed electronic Hamiltonian which gets an attractive phonon-induced potential from each order of reduction. The transformed electronic Hamiltonian has been solved numerically for a series of values of the parameters alpha , beta . Relation to perturbative solutions is discussed. Interesting localisation criteria derived from the calculated wavefunctions are also discussed.

Nikolay N. Bogolubov, Nikolay N. Bogolubov