We consider the nerve as the elastic string, the left end of which is fixed at the beginning of the coordinate system, the right end is fixed at point l and mass m is fixed between the ends of the string. We determine the classical and the quantum vibration of such system. The quantum motion is obtained by the so-called non-conventional oscillator quantization method by author. The proposed model can be also related in the modified form to the problem of the Mossbauer effect, being the recoilless nuclear resonance fluorescence, which is the resonant and recoil-free emission and absorption of gamma radiation by atomic nuclei bound in a solid. (Mossbauer,1958). It is not excluded that our oscillator quantization of the string can be extended to generate the new way of the string theory of matter and physiology of nerves.
An analysis is made of the two-photon absorption of radiation by nuclei subjected to two opposed
gamma-ray fluxes. The absorption cross section has two maxima separated by the recoil energy. The higher maximum, of width GAMMA governed by the radiative damping, is associated with the recoilless absorption; the lower maximum, of width governed by the Doppler effect, describes the absorption in the presence of recoil. The low maximum makes it possible to attain low values of the parameter GAMMA/
omega. (AIP)
Recently, an exponentially decaying waveform (the time dependence of detection probability) of a M\"ossbauer \ensuremath{\gamma}-ray photon was transformed into a regular sequence of short pulses in a sinusoidally vibrating recoilless resonant absorber [F. Vagizov, V. Antonov, Y. V. Radeonychev, R. N. Shakhmuratov, and O. Kocharovskaya, Coherent control of the waveforms of recoilless \ensuremath{\gamma}-photons, Nature (London) 508, 80 (2014)]. In the present paper, we show that the peak amplitude of the pulses can be considerably increased via joint adjustment of optical depth of the absorber and the initial phase of its vibration. This is due to reduction of the photoelectric absorption and maximizing the constructive temporal interference of spectral content of the single-photon wave packet in an optically deep absorber. The ultimate capabilities for transforming a waveform of a 14.4-keV photon from a
57Co radioactive source into a regular train of pulses in a harmonically vibrating
57Fe recoilless resonant absorber are discussed. We show that the shortest pulse duration, produced by this technique, is limited by the highest available vibration frequency of a piezoelectric transducer and at present can be as short as 7.7 ps. The maximum achievable detection probability of the transformed photon at the experimentally feasible conditions is more than two times higher than peak detection probability of the photon emitted by the source and nearly 5.5 times higher than obtained in the above reference.