We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in momenta of N -th order which is a linear function of angle variables and the polynomial in action variables. Existence of such superintegrable systems is naturally related to the famous Chebyshev theorem on binomial differentials.

No abstract

No abstract

Articles you may be interested inHigh field-emission current of carbon nanotubes grown on TiN-coated Ta substrate for electron emitters in a microwave power amplifier Electron emission suppression characteristics of molybdenum grids coated with carbon film by ion beam assisted deposition J.The experimental study of matrix carbon field-emission cathodes ͑MCFECs͒, which has led to the stable operation of the cathodes with current emission values up to 100 mA, is described. A method of computer aided design of TWT electron guns ͑EGs͒ with MCFEC, based on the results of the MCFEC emission experimental study, is presented. The experimental MCFEC emission characteristics are used to define the field gain coefficient K and the cathode effective emission area S eff . The EG program computes the electric field upon the MCFEC surface, multiplies it by the K value and uses the Fowler-Nordheim law and the S eff value to calculate the MCFEC current; the electron trajectories are computed as well.

No abstract