Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones
There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact eigenfunctions and corresponding eigenvalues, e...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
| Main Author: | Langmann, E. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147783 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones / E. Langmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 26 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
by: Hallnäs, M.
Published: (2007)
by: Hallnäs, M.
Published: (2007)
Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
by: Desrosiers, P., et al.
Published: (2012)
by: Desrosiers, P., et al.
Published: (2012)
Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
by: Feigin, M.V.
Published: (2009)
by: Feigin, M.V.
Published: (2009)
Eigenfunctions of the Cosine and Sine Transforms
by: V. Katsnelson
Published: (2013)
by: V. Katsnelson
Published: (2013)
Eigenfunctions of the Cosine and Sine Transforms
by: Katsnelson, V.
Published: (2013)
by: Katsnelson, V.
Published: (2013)
One class of solutions of Volterra equations with regular singularity
by: Krein, S. G., et al.
Published: (1997)
by: Krein, S. G., et al.
Published: (1997)
Symmetries of Spin Calogero Models
by: Caudrelier, V., et al.
Published: (2008)
by: Caudrelier, V., et al.
Published: (2008)
Calogero Model(s) and Deformed Oscillators
by: Milekovic, M., et al.
Published: (2006)
by: Milekovic, M., et al.
Published: (2006)
Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems
by: Tondo, G., et al.
Published: (2016)
by: Tondo, G., et al.
Published: (2016)
On the completely integrable calogero-type discretizations of Lax-integrable nonlinear dynamical systems and related coadjoint Markov-type orbits
by: A. K. Prykarpatskyi
Published: (2016)
by: A. K. Prykarpatskyi
Published: (2016)
On the completely integrable calogero-type discretizations of Lax-integrable nonlinear dynamical systems and related coadjoint Markov-type orbits
by: Prykarpatsky, A. K., et al.
Published: (2016)
by: Prykarpatsky, A. K., et al.
Published: (2016)
Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case
by: Ruijsenaars, Simon N.M.
Published: (2009)
by: Ruijsenaars, Simon N.M.
Published: (2009)
Ideals of one-branch singularities of curves of the type $W$
by: Skuratovskii, R. V., et al.
Published: (2009)
by: Skuratovskii, R. V., et al.
Published: (2009)
Eigenfunction Expansions of Functions Describing Systems with Symmetries
by: Kachuryk, I., et al.
Published: (2007)
by: Kachuryk, I., et al.
Published: (2007)
Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System
by: A. Omuraliev, et al.
Published: (2022)
by: A. Omuraliev, et al.
Published: (2022)
The magnetic properties of the quantum Shastry–Sutherland model S = 1/2 spin
by: V. V. Slavin, et al.
Published: (2014)
by: V. V. Slavin, et al.
Published: (2014)
One type of singular perturbations of a~multidimensional stable process
by: M. M. Osypchuk, et al.
Published: (2014)
by: M. M. Osypchuk, et al.
Published: (2014)
Why do We Need Geo¬informatics Specialists and How to Use Them Correctly?
by: S. B. Radchenko
Published: (2019)
by: S. B. Radchenko
Published: (2019)
From Quantum AN (Calogero) to H₄ (Rational) Model
by: Turbiner, A.V.
Published: (2011)
by: Turbiner, A.V.
Published: (2011)
Infinite transitivity on the Calogero-Moser space C₂
by: Kesten, J., et al.
Published: (2021)
by: Kesten, J., et al.
Published: (2021)
Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case
by: Simon N.M. Ruijsenaars
Published: (2015)
by: Simon N.M. Ruijsenaars
Published: (2015)
Eigenfunction expansion for symmetric multiparameter problems
by: Konstantinov, A. Yu., et al.
Published: (1993)
by: Konstantinov, A. Yu., et al.
Published: (1993)
Monte Carlo simulation of anisotropic Shastry–Sutherland lattice in the framework of classical Heisenberg model
by: Slavin, V.V., et al.
Published: (2011)
by: Slavin, V.V., et al.
Published: (2011)
Monte Carlo simulation of anisotropic Shastry–Sutherland lattice in the framework of classical Heisenberg model
by: V. V. Slavin, et al.
Published: (2011)
by: V. V. Slavin, et al.
Published: (2011)
One class of singular complex-valued random variables of the Jessen-Wintner type
by: Pratsiovytyi, M. V., et al.
Published: (1997)
by: Pratsiovytyi, M. V., et al.
Published: (1997)
KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians
by: Mukhin, E., et al.
Published: (2012)
by: Mukhin, E., et al.
Published: (2012)
On one generalized integral transform of the Bessel type
by: N. O. Virchenko, et al.
Published: (2014)
by: N. O. Virchenko, et al.
Published: (2014)
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI
by: Mobasheramini, Fatane, et al.
Published: (2021)
by: Mobasheramini, Fatane, et al.
Published: (2021)
One Class of singular integral operators
by: Pavlov , E. A., et al.
Published: (1991)
by: Pavlov , E. A., et al.
Published: (1991)
The application of the intersect index to quasilinear eigenfunction problems
by: Dymarsky, Ya.M.
Published: (1999)
by: Dymarsky, Ya.M.
Published: (1999)
Eigenvalue problems with discontinuous eigenfunctions and their numerical solutions
by: Deineka, V. S., et al.
Published: (1999)
by: Deineka, V. S., et al.
Published: (1999)
Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\)
by: Kesten, J., et al.
Published: (2021)
by: Kesten, J., et al.
Published: (2021)
On Optimality Prinsip Maximum Since Singular Controls in One Roesser Type Control Problem
by: Sh. Kadyrova, et al.
Published: (2017)
by: Sh. Kadyrova, et al.
Published: (2017)
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
by: Görbe, T.F.
Published: (2016)
by: Görbe, T.F.
Published: (2016)
The technique of Modiano or how one can win the art race
by: Ya. Holoborodko
Published: (2015)
by: Ya. Holoborodko
Published: (2015)
Mean value properties for eigenfunctions of the Laplacian on symmetric spaces
by: Volchkov, V.V., et al.
Published: (2008)
by: Volchkov, V.V., et al.
Published: (2008)
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
by: de la Madrid, R.
Published: (2009)
by: de la Madrid, R.
Published: (2009)
On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
by: Ryabukha, T.V.
Published: (2006)
by: Ryabukha, T.V.
Published: (2006)
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
by: Avan, J., et al.
Published: (2012)
by: Avan, J., et al.
Published: (2012)
𝖌𝔩(3) Polynomial Integrable System: Different Faces of the 3-Body/𝒜₂ Elliptic Calogero Model
by: Turbiner, Alexander V., et al.
Published: (2024)
by: Turbiner, Alexander V., et al.
Published: (2024)
Similar Items
-
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
by: Hallnäs, M.
Published: (2007) -
Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
by: Desrosiers, P., et al.
Published: (2012) -
Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
by: Feigin, M.V.
Published: (2009) -
Eigenfunctions of the Cosine and Sine Transforms
by: V. Katsnelson
Published: (2013) -
Eigenfunctions of the Cosine and Sine Transforms
by: Katsnelson, V.
Published: (2013)