In this paper, we simulate the effect of shock and Coulomb wave centers on the binding energy of metal targets with ultra-deep penetration of microparticles up to 500 microns in size. To calculate the chemical bond, a quantum-mechanical model of the influence of external factors on a separately selected chemical bond is developed. The calculations were carried out using the solution of the Schrödinger equation in ellipsoidal coordinates, which made it possible to reduce its solution to the Whittaker equation. As a result of the calculations, it was found that the influence of external factors leads to a decrease in the binding energy, and this in turn leads to a decrease in the viscosity of the target material during microsecond time intervals. This fact well explains the ultra-deep penetration of microparticles.
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