Quantum theory of channeling
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 125-139 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the framework of nonequilibrium statistical thermodynamics in the quasiclassical case a study is made of the rate of dechanneling from the regime of planar channeling, the rate of energy loss of the channeled particles, and also the parameters of their equilibrium energy distribution. Analytic expressions are obtained for the corresponding transport coefficients and the modulus of the particle energy distribution $1/F_{21}$. An analysis is made of the frequency dependence of the transport coefficients and also of the isotopic effect in the case of planar dechanneling; it is shown that the total cross section of inelastic scattering of the particles by electrons, which determines the form of the stationary parameter $1/F_{21}$, is not identical to the Van Hove total cross section [Eq. (25)] which occurs in the transport coefficients.
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Yu. A. Kashlev. Quantum theory of channeling. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 125-139. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a10/

[1] Lindhard J., “Influence of crystal lattice on motion of energetic charged particles”, Mat.-Fys. Medd. Dan. Vid. Selsk., 34:14 (1965), 3–63

[2] Rosner J. S., Gibson W. M., Golovchenko J. A., “Quantitative study of the transmission of axially channeled protons in thin silicon crystals”, Phys. Rev., B18:3 (1978), 1066–1075 | DOI | MR

[3] Bitenskii I. S., Gurvich L. G., “O nastuplenii statisticheskogo ravnovesiya pri kanalirovanii”, DAN UzSSR, 1977, no. 11, 26–29

[4] Kagan Yu., Kononets Yu. V., “Teoriya effekta kanalirovaniya. III: Energeticheskie poteri bystrykh chastits”, ZhETF, 66:5 (1974), 1693–1711

[5] Zubarev D. N., Kashlev Yu. A., “Kvantovaya teoriya kanalirovaniya. Obobschennye uravneniya perenosa”, TMF, 29:3 (1976), 376–387

[6] Kashlev Yu. A., “Kvantovaya teoriya kanalirovaniya. Vklad mnogokratnogo rasseyaniya kanalirovannykh chastits na elektronakh v konstantu skorosti dekanalirovaniya”, TMF, 41:1 (1979), 89–101 | MR

[7] Datz S., Moak C. D., Noggle T. S., Appleton B. R., Lutz H. O., “Potential-energy and differential-stopping-power functions from energy-loss spectra of fast ions channeled in gold single cristals”, Phys. Rev., 179:2 (1969), 315–326 | DOI

[8] Robinson M. T., “Deduction of interaction potentials from planar-channeling experiments”, Phys. Rev., B4:5 (1971), 1461–1470 | DOI

[9] Dettmann K., “Stopping power of fast channeled protons in Hartree-Fock approximation”, Z. Physik, A272 (1975), 227–235 | DOI

[10] Prigogine I., Bak T. A., “Diffusion and chemical reaction in a one-dimensional condensed system”, J. Chem. Phys., 31:5 (1959), 1368–1370 | DOI | MR

[11] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 1, Mir, M., 1973 | MR

[12] Matsunami N., Itoh N., “Validity of the continuum approximation in calculating the scattering yields for atom location”, Rad. Effects, 31:1 (1976), 47–52 | DOI

[13] Kudo H., “Dechanneling of fast ions in distorted crystals”, J. Phys. Soc. Japan, 40:6 (1976), 1645–1653 | DOI

[14] Bell R. P., “Coefficient of permeability for parabolic potential”, Trans. Faraday Soc., 55:1 (1959), 1–4 | DOI

[15] Morgan D. V., Jackson D. R., “Planar dechanneling studies in diamond type lattices”, Nucl. Instr. Methods, 132:1 (1976), 153–161 | DOI

[16] Morita K., “Dechanneling of heavy charged particles in diamond lattices”, Rad. Effects, 14:2 (1971), 195–202

[17] Appleton B. R., Barrett J. H., Noggle T. S., Moak C. D., “Orientation dependence of intensity and energy loss of hyperchanneled ions”, Rad. Effects, 13:2 (1972), 171–181 | DOI

[18] Abel F., Amsel G., Bruneaux M., Cohen C., L'Hoir A., “Backscattering study and theoretical investigation of planar-channeling processes”, Phys. Rev., B13:3 (1976), 993–1005 | DOI

[19] Ohtsuki Y. H., “Inelastic scattering in channeling”, Atomic Collisions in Solids, N. Y., 2 (1975), 897–903 | DOI

[20] Sanders J. B., Roosendaal H. E., “Non-linear dependence of density of elastic stopping power”, Nucl. Instr. Methods, 132:2 (1976), 267–271 | DOI | MR

[21] Van Hove L., “Quantum mechanical perturbation and kinetic equation”, Phys. Rev., 106:4 (1957), 874–889 | MR

[22] Melvin J. D., Tombrello T. A., “Energy loss of low energy protons channeling in silicon crystals”, Rad. Effects, 26:2 (1975), 113–126

[23] Barrett J. H., “Breakdown of the statistical-equilibrium hypothesis in channeling”, Phys. Rev. Lett., 31:26 (1973), 1542–1546 | DOI

[24] Oshiyama T., Kudo H., Mannami M., “A diffusion model of planar channeling of fast charged particles. Backscattered energy spectra and diffusion constant”, J. Phys. Soc. Japan, 36:4 (1974), 1107–1112 | DOI | MR

[25] Schiøtt H. E., Bonderup E., Andersen J. U., Esbensen H., “Axial dechanneling. A theoretical study”, Atomic Collisions in Solids, N. Y., 2 (1975), 891–909

[26] Kitagawa M., Ohtsuki Y. H., “Modified dechanneling theory and diffusion coefficients”, Phys. Rev., B8:7 (1973), 3117–3125 | DOI

[27] Waho T., Ohtsuki Y. H., “The diffusion of channeled beams due to deviations from the continuum-potential model”, Rad. Effects, 27:2 (1976), 151–153 | DOI

[28] Waho T., “Planar dechanneling of protons in $\mathrm{Si}$ and $\mathrm{Ge}$”, Phys. Rev., 14:11 (1976), 4830–4833 | DOI

[29] Vager Z., Gemmell D. S., “Polarization induced in a solid by the passage of fast charged particles”, Phys. Rev. Lett., 37:20 (1976), 1352–1354 | DOI

[30] Eisen F. N., Robinson M. T., “Oscillation frequencies of protons in planar channels of Silicon”, Phys. Rev., B4:5 (1971), 1457–1461 | DOI

[31] Kitagawa M., Ohtsuki Y. H., “Inelastic scattering of slow ions in channeling”, Phys. Rev., 9:11 (1974), 4719–4723 | DOI