TY - JOUR
T1 - Asymptotic properties of difference equations for isotropic loop quantum cosmology
AU - Bojowald, Martin
AU - Rej, Adam
PY - 2005/9/7
Y1 - 2005/9/7
N2 - In loop quantum cosmology, a difference equation for the wavefunction describes the evolution of a universe model. This is different from the differential equations that arise in Wheeler-DeWitt quantizations, and some aspects of general properties of solutions can appear differently. Properties of particular interest are boundedness and the presence of small-scale oscillations. Continued fraction techniques are used to show in different matter models the presence of special initial conditions leading to bounded solutions, and an explicit expression for these initial values is derived.
AB - In loop quantum cosmology, a difference equation for the wavefunction describes the evolution of a universe model. This is different from the differential equations that arise in Wheeler-DeWitt quantizations, and some aspects of general properties of solutions can appear differently. Properties of particular interest are boundedness and the presence of small-scale oscillations. Continued fraction techniques are used to show in different matter models the presence of special initial conditions leading to bounded solutions, and an explicit expression for these initial values is derived.
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U2 - 10.1088/0264-9381/22/17/003
DO - 10.1088/0264-9381/22/17/003
M3 - Article
AN - SCOPUS:24144501303
SN - 0264-9381
VL - 22
SP - 3399
EP - 3420
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 17
ER -