New features of the pulsar B0950+08 radiation at the frequency of 111 MHz

Results of long time observations of the pulsar B0950+08 are given. These observations were carried out at the LPA radio telescope at the frequency of 111 MHz from January of 2016 to May of 2019 (450 days). A strong variability in emission of this pulsar has been detected with changes of signal to noise ratios hundreds of times. Part of long-time flux density variability can be explained by the refractive scintillations in the interstellar medium. The existence of radiation between the interpulse (IP) and main pulse (MP) was confirmed. It was more powerful than at high frequencies. We detected the unusual interpulse and precursor (Pr) radiation on August 1, 2017. On the base of strong 65 interpulses we found the correlations between energies of IP and Pr and between the phase of IP and the distance Pr-IP. It is shown that the observed peculiarities of this pulsar can be explained in the frame of the aligned rotator model. We estimated distances of radiation levels from the center of the neutron star. The calculated value of the initial period of 0.2 sec means that not all pulsars are born with millisecond periods. The large age of the pulsar (6.8 millions of years) and the small angle between its magnetic moment and the rotation axis (less than 20°) confirm the suggestion on the pulsar evolution to an alignment.

The first and second moments for the quantum Brownian planar rotator in external harmonic classical field

We derive explicit expressions for the first and second moments as well as the correlation function for a planar (one-dimensional) quantum Brownian rotator placed in the external harmonic potential. Our results directly provide the standard deviations for the azimuthal angle and the canonically conjugate angular momentum for the rotator. We find that there are some significant physical differences between this model and the free rotator model, which is well investigated in the literature.