Difference between revisions of "Quantum Qual Problems"

Revision as of 22:54, 14 August 2007

Problem: Given a quantum mechanical particle of mass [math]M[/math] confined inside a box of sides [math]a,b,c[/math]. The particle is allowed to move freely between [math]0 x \lt a, 0\lt y\lt b [/math] and [math]0\lt z\lt c[/math].

Use the time-independent Schrodinger equation for this problem to obtain the general form for the eigenfunctions of the particle

Now apply boundary conditions to obtain the specific eigenfunctions and eigenenergies for this specific problem.

Assume [math]a=b=c[/math] and find the first 6 eigenenergies of the problem in terms of the box side length ([math]a[/math]), the particle mass ([math]M[/math]) and standard constants. What are their quantum number?

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	* Assume <math>a=b=c</math> and find the first 6 eigenenergies of the problem in terms of the box side length (<math>a</math>), the particle mass (<math>M</math>) and standard constants. What are their quantum number?		* Assume <math>a=b=c</math> and find the first 6 eigenenergies of the problem in terms of the box side length (<math>a</math>), the particle mass (<math>M</math>) and standard constants. What are their quantum number?
−	#* Solution:	+	## Solution: