Which of the following statements is true?I. Every one-particle Hamiltonian operator commuteswith L2 and with L₂.II. For a system of n noninteracting particles, eachstationary-state wave function has the formV = V1 (91) + V2 (92) +…+¥n (In)III. The energy of a system of noninteracting particles isthe sum of the energies of the individual particles, wherethe energy of each particle is found by solving a one-particle Schrödinger equation.II and III||O I and IIIOI|||

Lz and L2 both independent of r therefore it commutes with any function of r or its derivative.…

Which of the following statements is true? I. Every one-particle Hamiltonian operator commutes with L2 and with L₂. II. For a system of n noninteracting particles, each stationary-state wave function has the form V = V1 (91) + V2 (92) +…+¥n (ªn) 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.

Which of the following statements is true? I. Every one-particle Hamiltonian operator commutes with L2 and with L₂. II. For a system of n noninteracting particles, each stationary-state wave function has the form V = V1 (91) + V2 (92) +…+¥n (ªn) 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.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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