84 citations · 1.3k across the 190 of their papers we have counts for
Showing 2003 · quant-phShow all
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quant-ph2003
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…
quant-ph2003★ 24 cited
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…
quant-ph2003★ 7 cited
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…