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- W2241451054 abstract "The interaction between the charged particle and the crystal is described by quantum mechanics. The schrdinger equation describing a paticle moving in the channel is reduced to Mathieu equation by using a sine-squared potential. The band structure of this system is discussed based on Bloch theorem. The instability zone and the stop-band width are found by the perturbation techniques. It is shown that the width of the 1-st order and 2-nd order instability zones are Δ E 1 = K β /2 and Δ E 2 =md 2 p (Kβ) 2 /16π 2 2 , respectively, and this system presents automatical the band structure, which is not present in Lindhard potential and Moliere potentials." @default.
- W2241451054 created "2016-06-24" @default.
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- W2241451054 date "2007-01-01" @default.
- W2241451054 modified "2023-09-26" @default.
- W2241451054 title "The sine-squared potential and the band structure for channelling effects" @default.
- W2241451054 doi "https://doi.org/10.7498/aps.56.3407" @default.
- W2241451054 hasPublicationYear "2007" @default.
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