Question A2 Consider an infinite square well of width L, with V = 0 in the region -L/2 < x < L/2 and V → ∞ everywhere else. For this system: a) Write down and solve the time-independent Schrödinger equation for & inside the well, where -L/2< x
Question A2 Consider an infinite square well of width L, with V = 0 in the region -L/2 < x < L/2 and V → ∞ everywhere else. For this system: a) Write down and solve the time-independent Schrödinger equation for & inside the well, where -L/2< x
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![Question A2
Consider an infinite square well of width L, with V = 0 in the region -L/2 < x < L/2 and V → ∞
everywhere else. For this system:
a) Write down and solve the time-independent Schrödinger equation for & inside the well,
where -L/2< x <L/2. Explain why your solution must be the general one.
b) State the boundary conditions that & must satisfy at the edges of the well, and explain why
we require these boundary conditions to be true.
[8 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c0d52ac-ebeb-4643-8051-a3a6486fdce4%2Ff49bab60-2c8f-46a3-a02b-6ccd82ffd5b7%2F6df9ie7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question A2
Consider an infinite square well of width L, with V = 0 in the region -L/2 < x < L/2 and V → ∞
everywhere else. For this system:
a) Write down and solve the time-independent Schrödinger equation for & inside the well,
where -L/2< x <L/2. Explain why your solution must be the general one.
b) State the boundary conditions that & must satisfy at the edges of the well, and explain why
we require these boundary conditions to be true.
[8 marks]
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