QUESTION 1 - [15] A particle confined in an infinite square well between x = 0 and x = D² has normalised wave functions

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Question 1 15 A Particle Confined In An Infinite Square Well Between X 0 And X D Has Normalised Wave Functions 1 (101.34 KiB) Viewed 76 times

QUESTION 1 - [15] A particle confined in an infinite square well between x = 0 and x = D² has normalised wave functions and energies It is prepared with wave function a) P₁ = Ps 5² b) P₂ = 1- c) Ps= 1- d) P₁ = 0 e) Pg= = 1) 25² Sm² √2 in that region. Answer the following: 1.1. Does the particle with wave function have a well-defined energy? [3] a) Yes, it is the average energy of all the eigenstates. b) Yes, it is its maximum emery. c) No, the energy sum cannot be performed. d) No, the average would be zero. e) No, it does not solve Schrodinger's equation. f) Yes, it is the sum of all the eigenstate energies. 1.2. What is the probability of finding the particle in the fifth bound state? [7] Emax Pn=sin En = h² nr ² 2m MIX 1 1.3. What is the average energy of the particle given by the wave function ? [5] a) (E) = En Σn=1 Pn b) (E) = 0 c) (E) == d) (E) = 00 e) (E)= EnPn f) (E)=1 EnPn