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Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
Quantum deformation of two four-dimensional spin foam models
Quantum deformation two four-dimensional spin foam models
2011/3/3
We construct the q-deformed version of two four-dimensional spin foam models, the Eu-clidean and Lorentzian versions of the EPRL model. The q-deformed models are based on the representation theory of ...
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
Topological expansion of beta-ensemble model quantum algebraic geometry sectorwise approach
2010/12/14
We solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = 1. For β = 1, the solution was expressed using the algebraic spectral curve of equa...
Solvable Models Of Infrared Gupta-Bleuler Quantum Electrodynamics
Infrared Problem Quantum Electrodynamics Local Gauge Quantization Solvable Models
2010/11/29
Solvable hamiltonian models are employed to investigate the extent and limitations of the procedures adopted in the perturbative treatment of the infrared divergences, occurring in the Feynman-Dyson e...