TL;DR
This paper derives a Mellin-Barnes integral representation for solutions to a generalized quantum Toda lattice, potentially linking to equivariant Gromov-Witten invariants of Grassmannians.
Contribution
It introduces a new integral representation for parabolic Whittaker functions associated with a generalized quantum Toda lattice.
Findings
Derived Mellin-Barnes integral representation for solutions
Potential connection to equivariant Gromov-Witten invariants
Advances understanding of parabolic Whittaker functions
Abstract
We derive a Mellin-Barnes integral representation for solution to generalized (parabolic) quantum Toda lattice introduced in \cite{GLO}, which presumably describes the -equivariant Gromov-Witten invariants of Grassmann variety.
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