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**Unformatted text preview: **Problem VIII.1 A beam of electrons is sent along the x-axis from -∞ (infinity) with kinetic energy E = 4.2 eV. The beam encounters a potential barrier of height V = 3.2 eV and width 2 a = 1.2 nm. What fraction of the incident beam is reflected? Hints: No hints Solution: No Solution yet Problem VIII.6 Find an expression for the transmission coefficient of a particle with a fixed, finite energy phy251_hw07 (1 of 2) [3/28/2001 1:00:21 PM] approaching a barrier in the limiting case as V →∞ and a → 0 such that aV is a constant. What is | R | 2 ? Hints: You can simplify your algebra by defining a parameter λ ≡ k 2 a 2 . Solution: No Solution yet phy251_hw07 (2 of 2) [3/28/2001 1:00:21 PM]...

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