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Introductory Physics Homework Help
Find Range of V0 for Particle in Potential
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[QUOTE="peripatein, post: 4944452, member: 443298"] [h2]Homework Statement[/h2] A particle is in the following potential: V(x)=infinity for x<0; -V[SUB]0[/SUB] for 0<x<a; and 0 for x>a Given that there's only [U]one[/U] bound state I am asked to determine the range of values for V[SUB]0[/SUB] in terms of the width [I]a[/I] and the particle's mass [I]m[/I].[/B][h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] For -V[SUB]0[/SUB]<E<0 I chose the following general solution for the wave function: ψ(x)=Asin(kx) 0<x<a; Bexp(-qx) x>0 where k=√(2m(E+V[SUB]0[/SUB])/ħ and q=√(2m|E|)/ħ By demanding continuity at x=a for both wave functions and their derivatives I obtained the following solution: q=-kctg(ka) How may I proceed? I'd appreciate some guidance. [/B] [/QUOTE]
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Introductory Physics Homework Help
Find Range of V0 for Particle in Potential
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