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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 419–425
DOI: https://doi.org/10.4213/tmf6552 (Mi tmf6552) 		 
A special set of eigenvectors for the hyperbolic Sutherland systems

B. I. Sadovnikova, N. G. Inozemtsevab, V. I. Inozemtsevc

a Lomonosov Moscow State University, Moscow, Russia
b Dubna International University of Nature, Society, and Humanity, Dubna, Moscow Oblast, Russia
c Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf6552
Abstract: We construct the integrals of motion for Sutherland hyperbolic quantum systems of particles with internal degrees of freedom ($su(n)$ spins) interacting with an external field of the Morse potential of an arbitrary strength $\tau^2$. These systems are confined if certain constraints are imposed on $\tau$, the pair coupling constant $\lambda$, and the number of particles. The ground state is described by a wave function of the Jastrow form.
Keywords: spin system, Morse potential, spinless Sutherland system, integrability.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1184–1189
DOI: https://doi.org/10.1007/s11232-010-0098-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. I. Sadovnikov, N. G. Inozemtseva, V. I. Inozemtsev, “A special set of eigenvectors for the hyperbolic Sutherland systems”, TMF, 164:3 (2010), 419–425; Theoret. and Math. Phys., 164:3 (2010), 1184–1189
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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