RT Journal Article
T1 Band structure in the polymer quantization of the harmonic oscillator
A1 Barbero G., J. Fernando
A1 Prieto, Jorge
A1 Sánchez Villaseñor, Eduardo Jesús
AB We 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.
PB IOP Publishing
SN 0264-9381
YR 2013
FD 2013-07-22
LK https://hdl.handle.net/10016/24576
UL https://hdl.handle.net/10016/24576
LA eng
NO We would like to thank W Chojnacki, A Corichi, J Lewandowski, T Pawłowski, P Singh and M Varadarajan for their valuable comments. This work has been supported by the Spanish MICINN research grants FIS2009-11893, FIS2012-34379 and the Consolider-Ingenio 2010Program CPAN (CSD2007-00042).
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RD 1 sept. 2024