Universal properties of conformal quantum many-body systems

@article{Meljanac2005UniversalPO,
title={Universal properties of conformal quantum many-body systems},
author={Stjepan Meljanac and Andjelo Samsarov},
journal={Physics Letters B},
year={2005},
volume={613},
pages={221-225}
}
• Published 23 March 2005
• Physics
• Physics Letters B
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

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, Physics
Journal 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

AdS/NRCFT for the (super) Calogero model

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

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.

• Physics
Physical 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

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