17 citations · 23 across the 3 of their papers we have counts for
3 papers
gr-qc2010★ 2 cited
Big bounce as scattering of wave function at big crunch
Fumitoshi Amemiya, Tatsuhiko Koike
A gauge-invariant quantum theory of the Friedmann-Robertson-Walker (FRW) universe with dust is studied in terms of the Ashtekar variables. We use the reduced phase space quantizati…
gr-qc2010★ 4 cited
Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
Tomo Tanaka, Fumitoshi Amemiya, Masahiro Shimano +2
In loop quantum cosmology, the Hamiltonian reduces to a finite difference operator. We study the initial singularity and the large volume limit against the ambiguities in the discr…
gr-qc2009★ 17 cited
Gauge-invariant construction of quantum cosmology
Fumitoshi Amemiya, Tatsuhiko Koike
We present and analyze a gauge-invariant quantum theory of the Friedmann-Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quanti…