Andrey PUPASOV  and  Boris SAMSONOV
Physics Department,
Tomsk State University,
36 Lenin Avenue,
634050 Tomsk,
RUSSIA
E-mail: PupasovAM@yandex.ru, samsonov@phys.tsu.ru

Exact propagators for soliton potentials

Abstract:
We show that the technique of Darboux transformation operators is very efficient in calculating exact propagators for transformed Hamiltonians. We apply it for getting exact propagators for multisoliton potentials. This permits us to give a closed expression for path integrals involving soliton potentials.