Barbero G., J. FernandoPrieto, JorgeSánchez Villaseñor, Eduardo Jesús2017-05-162017-05-162013-07-22Classical and Quantum Gravity, 2013, 30 (16), 165011.0264-9381https://hdl.handle.net/10016/24576We discuss the detailed structure of the spectrum of the Hamiltonian for the polymerized harmonic oscillator and compare it with the spectrum in the standard quantization. As we will see the non-separability of the Hilbert space implies that the point spectrum consists of bands similar to the ones appearing in the treatment of periodic potentials. This feature of the spectrum of the polymeric harmonic oscillator may be relevant for the discussion of the polymer quantization of the scalar field and may have interesting consequences for the statistical mechanics of these models.15application/pdfeng© 2013 IOP Publishing LtdBackgroung indepent quantizationsPeriodic schrodinger-operatorsQuantum-mechanicsScalar fieldRepresentationsEquiationGravityEntropyL2(br)research articleFísicaMatemáticashttps://dx.doi.org/10.1088/0264-9381/30/16/165011open access165011-116165011-15Classical and Quantum Gravity30AR/0000013816