84 citations · 1.3k across the 190 of their papers we have counts for
7 papers · 1 filter
Cyclotomic quantum clock
H. C. Rosu, M. Planat
In the wake of our recent work on cyclotomic effects in quantum phase locking [M. Planat and H. C. Rosu, Phys. Lett. A 315, 1 (2003)], we briefly discuss here a cyclotomic extensio…
The hyperbolic, the arithmetic and the quantum phase
Michel Planat, Haret Rosu
We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical…
Quantum hamiltonians and prime numbers
H. C. Rosu
A short review of Schroedinger hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here. We notice…
Cyclotomy and Ramanujan sums in quantum phase locking
M. Planat, H. C. Rosu
Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in…
Unruh effect as particular Frenet-Serret vacuum radiation and detection proposals
H. C. Rosu
The paradigmatic Unruh radiation is an ideal and simple case of stationary scalar vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We briefly review…
Frenet-Serret vacuum radiation, detection proposals and related topics
H. C. Rosu
The paradigmatic Unruh radiation is an ideal and simple case of stationary vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We review the correspond…