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Aim

Theory

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Procedure

Simulation

Posttest

References

Contributors

Feedback

Introduce & explain other cases of inf, fin, and other swe solutions.

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1. What is the wave function (ψ) in quantum mechanics?

a: A function that describes the shape of an electron's orbit. Explanation

Explanation

b: A function that gives the probability amplitude of a particle's position. Explanation

Explanation

c: A function that describes the energy levels of an atom. Explanation

Explanation

d: A function that gives the velocity of a particle. Explanation

Explanation

2. Solve the Schrödinger equation for a particle in a one-dimensional infinite potential well of width \( L \). What are the allowed energy levels?

a: E_n = n^2 h^2 / 2mL^2 Explanation

Explanation

b: E_n = n^2 π^2 ħ^2 / 2mL^2 Explanation

Explanation

c: E_n = n ħ / 2mL Explanation

Explanation

d: E_n = n^2 h / mL^2 Explanation

Explanation

3. Which of the following describes a finite potential well?

a: A potential well with infinitely high walls. Explanation

Explanation

b: A potential well with finite energy outside the well. Explanation

Explanation

c: A potential that is zero everywhere. Explanation

Explanation

d: A potential well with finite depth and width. Explanation

Explanation

4. Calculate the probability of finding a particle in a specific region within an infinite potential well if the wave function is given by \( \psi(x) = \sqrt{2/L} \sin(n\pi x/L) \). Assume \( n = 1 \) and \( L = 1 \).

a: 1 Explanation

Explanation

b: 0.5 Explanation

Explanation

c: 0.75 Explanation

Explanation

d: 0.25 Explanation

Explanation

5. What is the significance of the normalization condition in quantum mechanics?

a: It ensures the wave function is real. Explanation

Explanation

b: It ensures the total probability of finding a particle is 1. Explanation

Explanation

c: It ensures the energy levels are quantized. Explanation

Explanation

d: It ensures the wave function is symmetric. Explanation

Explanation

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