31. Substitute the function ψ (x, t) = e-2πiEt/h ψ (x) into the time-dependent Schrodinger equation and determine the eigenvalue.
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31. Substitute the function ψ (x, t) = e-2πiEt/h ψ (x) into the time-dependent Schrodinger equation and determine the eigenvalue.
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by Bartleby Expert- What is the answer of question 2There is an electron, in a 1-d, infinitely deep square potential well with a width of d. If it is in ground state, 1. Draw the electron's wavefunction. Show the position of the walls of the potential well. 2. Explain how the probability distribution for detecting the electron at a given position differs from the wavefunction.Pls answer thank you
- A rectangular corral of widths Lx = L and Ly = 2L contains seven electrons. What is the energy of (a) the first excited state, (b) the second excited state, and (c) the third excited state of the system? Assume that the electrons do not interact with one another, and do not neglect spin. State your answers in terms of the given variables, using hand me (electron mass) when needed.Consider the following wave function. TT X a = B sin(- (x) = E 2 π.χ. a −) + C · sin(² a. Does this function describes a particle-in-a-box acceptable wave function? Name the conditions to be fulfilled. b. Is this function an eigenfunction of the total energy operator H when H is the Hamilton operator.Please give me answers in 5min I will give you like sure
- 2. Consider the potential shown: -kx, x 0 2 where k is a positive constant. Call the ground state energy eigenfunction of this well ₁(x), with energy E₁. The fourth excited state would be called 45(x), with energy E5. In your answers to the questions below, please indicate in words interesting features, e.g. sign of concavity, where zeros are, where there is decay or oscillation, forbidden regions, etc. (a) Sketch the ground state, 4₁(x), (b) Sketch the excited state, 45(x) V(x) I I V(x) I x=0 E5 E₁Problem One 1. Show that [L.Pz] = 0. 2. Show that the eigenvalue of operator is mh, where m is an integer.solve