A Kontorovich–Lebedev representation for zero-range potential eigensolutions

DOI10.1088/0305-4470/34/42/315zbMath0997.81128OpenAlexW1964643260WikidataQ105646451 ScholiaQ105646451MaRDI QIDQ4533521

S. Yu. Ovchinnikov, J. H. MacEk, Gustavo Gasaneo

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/42/315

zbMATH Keywords

regularity propertiesthree-particle problemasymptotic limitsKantorovich-Lebedev representation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) (n)-body potential quantum scattering theory (81U10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

On the product formula and convolution associated with the index Whittaker transform ⋮ The Kontorovich--Lebedev integral transformation with a Hankel function kernel in a space of generalized functions of doubly exponential descent ⋮ The spectral expansion approach to index transforms and connections with the theory of diffusion processes ⋮ Integral representation of one-dimensional three particle scattering for δ function interactions ⋮ Analytical Solution of the Bosonic Three-Body Problem

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