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What is the number of confined states in these potential wells?
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[QUOTE="patric44, post: 6499510, member: 619921"] I am sorry I should had puten more effort in presenting the problem and my attempt, so here we go : in the following 1D potential wells as described by the figures : [ATTACH type="full" width="532px"]283975[/ATTACH] the question was asking to find the maximum and the minimum number of bound states confined within these systems ? the minimum number can be obtained by looking at the transcendental equation plot for each system, i am taking about the the last two systems , since the infinite well is infinite i guess there is no max and the min is 1 correct me if I am wrong, now for the two systems: [ATTACH=full]283976[/ATTACH] the left one is for the finite well and it shows an intersection point (represents a solution) no mater how shallow the well is . so the minimum is 1. the right one shows no intersection up till a condition of $$UL>\frac{\pi^{2}\hbar^{2}}{8m}$$ so the min is 0. not sure how to get the maximum number of states , is it by counting the total intersection points or there is another approach ? [/QUOTE]
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What is the number of confined states in these potential wells?
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