201 citations · 1.3k across the 82 of their papers we have counts for
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math-ph2013★ 6 cited
A product formula for the eigenfunctions of a quartic oscillator
Martin Hallnäs, Edwin Langmann
We consider the Schrödinger operator on the real line with an even quartic potential. Our main result is a product formula of the type $ψ_k(x)ψ_k(y) = \int_{\mathbb{R}} ψ_k(z)\math…
math-ph2013★ 8 cited
Source identities and kernel functions for deformed (quantum) Ruijsenaars models
F. Atai, M. Hallnäs, E. Langmann
We consider the relativistic generalization of the quantum Calogero-Sutherland models due to Ruijsenaars, comprising the rational, hyperbolic, trigonometric and elliptic…
math-ph2013★ 1 cited
Variational orthogonalization
Farrokh Atai, Jens Hoppe, Mariusz Hynek +1
We introduce variational methods for finding approximate eigenfunctions and eigenvalues of quantum Hamiltonians by constructing a set of orthogonal wave functions which approximate…