Extends linear toy model of gravitational decoherence to sinus-like Weyl couplings, derives master equation via two correlation-function methods, and solves the renormalised equation.
Band structure in the polymer quantization of the harmonic oscillator
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Generalising gravitationally induced decoherence beyond linear environmental interactions in a microscopic quantum mechanical toy model
Extends linear toy model of gravitational decoherence to sinus-like Weyl couplings, derives master equation via two correlation-function methods, and solves the renormalised equation.