45 citations · 57 across the 7 of their papers we have counts for
7 papers
Hjelmslev Geometry of Mutually Unbiased Bases
Metod Saniga, Michel Planat
The basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer,…
On the Cyclotomic Quantum Algebra of Time Perception
Michel Planat
I develop the idea that time perception is the quantum counterpart to time measurement. Phase-locking and prime number theory were proposed as the unifying concepts for understandi…
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…
Invitation to the "Spooky" Quantum Phase-Locking Effect and its Link to 1/F Fluctuations
Michel Planat
An overview of the concept of phase-locking at the non linear, geometric and quantum level is attempted, in relation to finite resolution measurements in a communication receiver a…
Class numbers in the imaginary quadratic field and the 1/f noise of an electron gas
Michel Planat
Partition functions of statistical mechanics are generally approximated by integrals. The approximation fails in small cavities or at very low temperature, when the ratio $x…
Milne phase for the Coulomb quantum problem related to Riemann's hypothesis
H. C. Rosu, J. M. Moran-Mirabal, M. Planat
We use the Milne phase function in the continuum part of the spectrum of the particular Coulomb problem that has been employed by Bhaduri, Khare, and Law as an equivalent physical…