7 citations
6 papers
Making Mainstream Synthesizers with Csound
Gleb G. Rogozinsky, Eugene Cherny, Ivan Osipenko
For more than the past twenty years, Csound has been one of the leaders in the world of the computer music research, implementing innovative synthesis methods and making them avail…
Orthogonal polynomials and deformed oscillators
V. V. Borzov, E. V. Damaskinsky
We discuss the construction of oscillator-like systems associated with orthogonal polynomials on the example of the Fibonacci oscillator. In addition, we consider the dimension of…
Statistics of resonance and non-resonance tunnelling of fermionised cold atoms
D. Sokolovski, L. M. Baskin
We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resona…
The algebra of two dimensional generalized Chebyshev - Koornwinder oscillator
V. V. Borzov, E. V. Damaskinsky
In the previous works \cite{N46,N47} authors have defined the oscillator-like system that associated with the two variable Chebyshev-Koornwinder polynomials. We call this system th…
On the Spectral Properties of the Perturbed Landau Hamiltonian
Grigori Rozenblum, Grigory Tashchiyan
The Landau Hamiltonian governing the behavior of a quantum particle in dimension 2 in a constant magnetic field is perturbed by a compactly supported magnetic field and a similar e…
Coherent states for the Legendre oscillator
V. V. Borzov, E. V. Damaskinsky
A new oscillator-like system called by the Legendre oscillator is introduced in this note. The two families of coherent states (coherent states as eigenvectors of the annihilation…