Imagine a particle confined to move on the circumference of a circle (‘a particle on a ring’), such that its position can be described by an angle ϕ in the range 0–2π. Which of the following wavefunctions would be acceptable for such a particle? In each case, give your reasons for accepting or rejecting each function. (i) cos ϕ; (ii) sin ϕ; (iii) cos(0.9ϕ).
Imagine a particle confined to move on the circumference of a circle (‘a particle on a ring’), such that its position can be described by an angle ϕ in the range 0–2π. Which of the following wavefunctions would be acceptable for such a particle? In each case, give your reasons for accepting or rejecting each function. (i) cos ϕ; (ii) sin ϕ; (iii) cos(0.9ϕ).
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Imagine a particle confined to move on the circumference of a circle (‘a particle on a ring’), such that its position can be described by an angle ϕ in the range 0–2π. Which of the following wavefunctions would be acceptable for such a particle? In each case, give your reasons for accepting or rejecting each function. (i) cos ϕ; (ii) sin ϕ; (iii) cos(0.9ϕ).
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