## 11 Citations

### Quantization and conformal properties of a generalized Calogero model

- Physics
- 2006

We analyze a generalization of the quantum Calogero model with the underlying conformal symmetry, paying special attention to the two-body model deformation. Owing to the underlying SU(1,1) symmetry,…

### A non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations

- Physics, Mathematics
- 2007

The family of metric operators, constructed by Musumbu et al (2007 J. Phys. A: Math. Theor. 40 F75), for a harmonic oscillator Hamiltonian augmented by a non-Hermitian -symmetric part, is re-examined…

### Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction

- Mathematics, Physics
- 2008

We consider the inequivalent quantizations of a N-body rational Calogero model with a Coulomb type interaction. It is shown that for a certain range of the coupling constants, this system admits a…

### A new model of the Calogero type

- Physics, Mathematics
- 2006

We propose a new integrable Hamiltonian describing two interacting particles in a harmonic mean field in D = 1 dimensional space. This model is found to be both supersymmetric and shape invariant. We…

### Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems

- Mathematics, PhysicsJournal of High Energy Physics
- 2019

A bstractWe investigate how the Lax-Novikov integral in the perfectly invisible PT-regularized zero-gap quantum conformal and superconformal mechanics systems affects on their (super)-conformal…

### Calogero Model(s) and Deformed Oscillators

- Physics
- 2006

We briefly review some recent results concerning algebraical (oscillator) as- pects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge…

### Collective field formulation of the multi-species Calogero model and its duality symmetries

- Mathematics
- 2007

### AdS/NRCFT for the (super) Calogero model

- Physics
- 2008

We propose a correspondence between the non-relativistic quantum Calogero model in d spatial dimensions and classical gravity theory in a deformed AdS_{d+3} background for single particle and…

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- Physics
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