CANONICAL QUANTIZATION AND MASS SPECTRUM OF RELATIVISTIC PARTICLE ANALOGUE OF RELATIVISTIC STRING WITH RIGIDITY

Modern Physics Letters A - Tập 03 Số 13 - Trang 1299-1308 - 1988
Mikhail S. Plyushchay1
1Institute for High Energy Physics, SU-142284, Serpukhov, Moscow region, USSR

Tóm tắt

The generalized model of relativistic particle is studied. Its action contains the term for a free particle of mass m together with an additional term proportional to the curvature of its world trajectory. From the full set of Hamiltonian constraints, the mass shell condition is singled out and canonical quantization of the model is performed. The quantized system is shown to be equivalent to relativistic rotator with the mass spectrum coinciding with the spectrum of squared Majorana equation: [Formula: see text], where M is rotator’s mass, s is its spin and α−1 is a constant in additional term in action.

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