Exact solution of the 1D Dirac equation for the inverse-square-root potential 1/x$1/\sqrt{x}$

We present the exact solution of the 1D Dirac equation for the inverse-square-root potential $1/\sqrt{x}$ for several configurations of vector, pseudo-scalar, and scalar fields. Each fundamental solution of the problem can be written as an irreducible linear combination of two Hermite functions of a scaled and shifted argument. We derive the exact equations for bound-state energy eigenvalues and construct accurate approximations for the energy spectrum.

Mast Cells and Nerve Signal Conduction in Acupuncture

Nerve and mast cells are densely distributed around acupoints in connective tissue. To explore the internal relations between them in acupuncture effect, we examined dorsal root potential (DRP) response to acupuncture at Zusanli (ST36) under sodium cromoglicate (DSCG, a mast cell stabilizer) intervention in anesthetized Sprague-Dawley (SD) rats. We used single unit nerve recording techniques to collect nerve signals from DRP afferent nerves for a 45-minute period that includes 4 stages, that is, base, drug absorption, acupuncture, and recovery stages. We analyzed the recorded signals from time-domain and frequency-domain perspectives. The results showed that once acupuncture needle was inserted, twisting needle excited more nerves discharges than those at base discharges in ACU (from 35.1 ± 7.2 to 47 ± 9.2 Hz,P=0.004), and there existed the same trend in Saline + ACU group (from 23.8 ± 2.6 to 29.8 ± 4.2 Hz,P=0.059). There was no change of nerve discharges under twisting needle with injection of DSCG (from 34.8 ± 5.3 to 34.7 ± 4.4 Hz,P=0.480). We conclude that acupuncture manipulation promotes neural signal production and DSCG could partly inhibit nerve discharges.

The Potentials Recorded Around the Spinal Cord

Introduction. Clinical Neurophysiology is strongly based on the interpretation of electric potential fields. Such interpretations may sometimes create different conceptual objects that over time end up as different sides of the same phenomenon. An instructive example is represented by the potential fields recorded around the spinal cord viewed from a historical perspective. Method. A brief historical ac­count is given of the potentials recorded around the spinal cord. Re­sults. Dorsal root reflex, dorsal root potential, cord dorsum potential and primary afferent depolarization are described. Conclusion. all these potentials are mainly different aspects of the same generator - the segmental spinal cord activities - secondary to the recordings by different leads.