(1) Choose all of the following statements that are correct about the time evolution of a...

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(1) Choose all of the following statements that are correct about the time evolution of a general wave function: (I) The time evolution of a general wave function is governed by the Hamiltonian operator for that system. (II) The time evolution of a general wave function is governed by the time- independent Schrödinger equation (TISE): A ,(x) = E,Pn(x). (III) A general wave function (x,0) at time t = 0 will evolve into (x, t) = e-iEt/h b(r,0) at time t. (а) (1) only (b) (II) only (c) (III) only (d) (I) and (II) only (e) (I) and (III) only (2) Choose all of the following statements that are correct about the time evolution of a general function: (I) The time evolution of a wave function is governed by the time-dependent Schrödinger equation (TDSE). (II) Given V(r, 0) and the Hamiltonian, H, for a system, we can determine the wave function at time t by first calculating the momentum eigenstates. (III) Given V(r, 0) and the Hamiltonian, Ĥ, we can determine the wave function at time t if we first expand (x,0) in terms of the energy eigenstates. (a) (I) only (b) (II) only (c) (III) only (d) (I) and (II) only (e) (I) and (III) only 6. (1) Choose all of the following statements that are correct about the time evolution of a general wave function: (I) The time evolution of a general wave function is governed by the Hamiltonian operator for that system. (II) The time evolution of a general wave function is governed by the time- independent Schrödinger equation (TISE): A ,(x) = E,Pn(x). (III) A general wave function (x,0) at time t = 0 will evolve into (x, t) = e-iEt/h b(r,0) at time t. (а) (1) only (b) (II) only (c) (III) only (d) (I) and (II) only (e) (I) and (III) only (2) Choose all of the following statements that are correct about the time evolution of a general function: (I) The time evolution of a wave function is governed by the time-dependent Schrödinger equation (TDSE). (II) Given V(r, 0) and the Hamiltonian, H, for a system, we can determine the wave function at time t by first calculating the momentum eigenstates. (III) Given V(r, 0) and the Hamiltonian, Ĥ, we can determine the wave function at time t if we first expand (x,0) in terms of the energy eigenstates. (a) (I) only (b) (II) only (c) (III) only (d) (I) and (II) only (e) (I) and (III) only 6.

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