## 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…

### 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…

## References

SHOWING 1-10 OF 48 REFERENCES

### Anomaly in Conformal Quantum Mechanics: From Molecular Physics to Black Holes

- Physics
- 2003

A number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular domain of distances, they are characterized by a long-range conformal interaction…

### Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

- Mathematics
- 1998

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains new…

### Must a Hamiltonian be Hermitian

- Physics
- 2003

A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space–time reflection symmetry (PT…

### Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

- Mathematics
- 1986

It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three…

### Quantum Action-Angle Variables for the Harmonic Oscillator.

- Physics
- 1996

Operators conjugate to the Hamiltonian are constructed explicitly for the quantum harmonic oscillator by two approaches in the space spanned by the eigenstates of {ital q} and the eigenstates of…

### Black Hole Entropy from Conformal Field Theory in Any Dimension

- Physics
- 1999

Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum…

### Quantum anomaly in molecular physics.

- PhysicsPhysical review letters
- 2001

The interaction of an electron with a polar molecule is shown to be the simplest realization of a quantum anomaly in a physical system. The existence of a critical dipole moment for electron capture…

### Ground State of a One‐Dimensional N‐Body System

- Physics
- 1969

The problem of N quantum‐mechanical equal particles interacting pairwise by inverse‐cube forces (``centrifugal potential'') in addition to linear forces (``harmonical potential'') is considered in a…

### Black holes and superconformal mechanics

- Physics
- 1998

The dynamics of a (super)particle near the horizon of an extreme Reissner-Nordstr\"om black hole is shown to be governed by an action that reduces to a (super)conformal mechanics model in the limit…