Which of the following statements is true? I. Every one-particle Hamiltonian operator commutes with L2 and with Lz. II. For a system of n noninteracting particles, each stationary-state wave function has the form V = V1 (91) + V2 (92) +…+Vn (9n) III. The energy of a system of noninteracting particles is the sum of the energies of the individual particles, where the energy of each particle is found by solving a one- particle Schrödinger equation.

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Which of the following statements is true?
I. Every one-particle Hamiltonian operator commutes
with L2 and with Lz.
II. For a system of n noninteracting particles, each
stationary-state wave function has the form
V = V1 (91) + V2 (92) +…+Vn (9n)
III. The energy of a system of noninteracting particles is
the sum of the energies of the individual particles, where
the energy of each particle is found by solving a one-
particle Schrödinger equation.
O II and III
||
I and III
I
|||
Transcribed Image Text:Which of the following statements is true? I. Every one-particle Hamiltonian operator commutes with L2 and with Lz. II. For a system of n noninteracting particles, each stationary-state wave function has the form V = V1 (91) + V2 (92) +…+Vn (9n) III. The energy of a system of noninteracting particles is the sum of the energies of the individual particles, where the energy of each particle is found by solving a one- particle Schrödinger equation. O II and III || I and III I |||
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