# A new construction of quasi-solvable quantum many-body systems of deformed Calogero–Sutherland type

@article{Tanaka2005ANC, title={A new construction of quasi-solvable quantum many-body systems of deformed Calogero–Sutherland type}, author={Toshiaki Tanaka}, journal={Annals of Physics}, year={2005}, volume={320}, pages={199-225} }

## One Citation

### {\cal N} -fold supersymmetry in quantum systems with position-dependent mass

- Physics
- 2006

We formulate the framework of -fold supersymmetry in one-body quantum mechanical systems with position-dependent mass (PDM). We show that some of the significant properties in the constant-mass case…

## References

SHOWING 1-10 OF 48 REFERENCES

### A Many-body Generalization of Quasi-solvable Models with Type C N-fold Supersymmetry (I) Regular Cases

- Mathematics
- 2005

### Quasi-exactly-solvable problems andsl(2) algebra

- Mathematics, Physics
- 1988

Recently discovered quasi-exactly-solvable problems of quantum mechanics are shown to be related to the existence of the finite-dimensional representations of the groupSL(2,Q), whereQ=R, C. It is…

### A novel multi-parameter family of quantum systems with partially broken N-fold supersymmetry

- Mathematics
- 2005

We develop a systematic algorithm for constructing an -fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we…

### Hidden algebras of the (super) Calogero and Sutherland models

- Mathematics
- 1998

We propose to parametrize the configuration space of one-dimensional quantum systems of N identical particles by the elementary symmetric polynomials of bosonic and fermionic coordinates. It is shown…

### Quasi-exactly solvable quartic potential

- Physics
- 1998

A new two-parameter family of quasi-exactly solvable quartic polynomial potentials is introduced. Heretofore, it was believed that the lowest-degree one-dimensional quasi-exactly solvable polynomial…

### A QUASI-EXACTLY SOLVABLE N-BODY PROBLEM WITH THE sl(N+1) ALGEBRAIC STRUCTURE

- Mathematics, Physics
- 1999

Starting from a one-particle quasi-exactly solvable system, which is characterized by an intrinsic sl(2) algebraic structure and the energy-reflection symmetry, we construct a daughter N-body…

### New quasi-exactly solvable sextic polynomial potentials

- Physics
- 2005

A Hamiltonian is said to be quasi-exactly solvable (QES) if some of the energy levels and the corresponding eigenfunctions can be calculated exactly and in a closed form. An entirely new class of QES…

### EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS

- Mathematics
- 1995

Translationally invariant symmetric polynomials as coordinates for N-body problems with identical particles are proposed. It is shown that in those coordinates the Calogero and Sutherland N-body…