The Sun as a Low-Frequency Harmonic Oscillator

Frequency Switching of Quantum Harmonic Oscillator with time-dependent frequency

An explicit solution of the equation for the classical harmonic oscillator with smooth switching of the frequency has been found . A detailed analysis of a quantum harmonic oscillator with such frequency has been done on the base of the method of linear invariants. It has been shown that such oscillator possesses cofluctuant states, different from widely studied Glauber’s coherent and ”ideal” s...

A synthetic low-frequency mammalian oscillator

Circadian clocks have long been known to be essential for the maintenance of physiological and behavioral processes in a variety of organisms ranging from plants to humans. Dysfunctions that subvert gene expression of oscillatory circadian-clock components may result in severe pathologies, including tumors and metabolic disorders. While the underlying molecular mechanisms and dynamics of comple...

The Large N Harmonic Oscillator as a String Theory

We propose a duality between the large-N gauged harmonic oscillator and a novel string theory in two dimensions.

Quantum Harmonic Oscillator as Zariski Geometry

We describe the structure QHO = QHON (dependent on the positive integer number N) on the universe L which is a finite cover, of order N, of the projective line P = P(F), F an algebraically closed field of characteristic 0. We prove that QHO is a complete irreducible Zariski geometry of dimension 1. We also prove that QHO is not classical in the sense that the structure is not interpretable in a...

Harmonic Oscillator