V.4 No 1

45

On orbital stability of oscillators

To understand better the phenomenology of processes in the dynamic field of proton and their affection on the electron's orbit stabilisation, we have to note few additional factors.

First of all, we have to note that the formed dynamic field is the direct consequence of dynamic interaction of proton and orbital electron. For proton, the stimulating force will be electron, and for electron - proton will be the same stimulating force. So both the proton and electron will make forced motions in their orbits - it means, the frequencies of proton and electron will be equal. Consequently, the spiral lead, which is proportional to the frequency of proton's revolution in its orbit, will be proportional to the frequency of electron's revolution in its orbit.

Next, we have to draw our attention that in distinct from dynamic field of dipole which we studied in [8], the equipotential lines consolidate in the arm of spiral not due to superposition of fields but is caused by the displacement of these equipotential lines because of proton motion in its orbit. So the degree of consolidation will directly depend on the orbit radius and velocity of proton motion. Under stable motion of proton, the parameters of spiral of dynamic field will remain unchanged. But if the parameters of proton's orbit and energy change, the parameters of spiral will change also. It follows from this that inertia of dynamic field of proton will fully correspond to the degree of inertia of the proton.

In its turn, it follows from the said that in the field with given inertia, at equal frequencies of the field of proton and orbital electron, the electron in unexcited state will have strongly definite location in the dynamic field of proton. This location will be caused not only by an attraction to the proton and balance of centrifugal and centripetal forces, as it is thought conventionally, but also by the gradient of dynamic scalar potential which arises in the spiral due to redistribution of equipotential lines of field. In Fig. 6, the red arrows show the direction of gradient for negative charge in the field of proton.

Fig. 6. Direction of gradient of scalar potential (red arrows) in dynamic field of proton

As we can see in Fig. 6, the gradient is directed towards the maximum of density of the spiral arm. This is why along the arm there forms a stable position at which electron can however long time retain its motion - and hence the orbit. While between the spiral arms, there forms the situation of unstable balance which stabilises the electron's motion, returning it to the position of stable balance in the field of nucleus. With it the stable balance has its important feature. If the excitation of electron had short duration and not exceeded the inertia of proton, the dynamic field of proton stabilises the orbit of electron, returning it to the stable balanced position. But if the excitation had long duration (e.g., was caused by atom kinetic heating), the field of proton will gradually transform in accordance with new parameters of electron's motion and with it there will arise the new stable position of orbital electron corresponding to the new parameters of its orbit.