Imagine a particle free to move in the x direction. Which of the following wavefunctions would be acceptable for such a particle? In each case, give your reasons for accepting or rejecting each function. (1) Þ(x) = x²; (iv) y(x) = x 5. (ii) ¥(x) = ; (v) (x) = e-* ; (iii) µ(x) = e-x²; (vi) p(x) = sinx

Physical Chemistry
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Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.61E: What is the physical explanation of the difference between a particle having the 3-D rotational...
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Imagine a particle free to move in the x direction. Which of the following
wavefunctions would be acceptable for such a particle? In each case, give your
reasons for accepting or rejecting each function.
(1) Þ(x) = x²;
(iv) y(x) = x
5.
(ii) ¥(x) = ;
(v) (x) = e-* ;
(iii) µ(x) = e-x²;
(vi) p(x) = sinx
Transcribed Image Text:Imagine a particle free to move in the x direction. Which of the following wavefunctions would be acceptable for such a particle? In each case, give your reasons for accepting or rejecting each function. (1) Þ(x) = x²; (iv) y(x) = x 5. (ii) ¥(x) = ; (v) (x) = e-* ; (iii) µ(x) = e-x²; (vi) p(x) = sinx
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