(b) A particle confined to the interval 0 < x < L by an infinite square...

 

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(b) A particle confined to the interval 0 < x < L by an infinite square well has the wavefunction (x) shown in the figure. ← (x)m L/2 X→ L This wave function can be expressed by the expansion ∞ v(x) = [Cn On (x), n=1 where on (2)=√√ sin(172/L) are the usual eigenfunctions of the infinite square well. Without computing the coefficients Cn, state which of C₁, C2, C3, and c₁ are zero. Which has the largest magnitude? Which are positive and which are negative? Give reasons for your answers. [4 marks] (b) A particle confined to the interval 0 < x < L by an infinite square well has the wavefunction (x) shown in the figure. ← (x)m L/2 X→ L This wave function can be expressed by the expansion ∞ v(x) = [Cn On (x), n=1 where on (2)=√√ sin(172/L) are the usual eigenfunctions of the infinite square well. Without computing the coefficients Cn, state which of C₁, C2, C3, and c₁ are zero. Which has the largest magnitude? Which are positive and which are negative? Give reasons for your answers. [4 marks]

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SOLUTION b 402 2 Sin 1 for x 414 4 Sin 20 square wen So the Coefficient C C4 C The Coe... View the full answer