V7 1. What is the Hamiltonian of a system? Show that the kinetic energy operator commutes with thelinear momentum operator?If the vectors in the setare eigenvectors of a linear operator ô with eigenvalue a, thenshow that the vector |n) =Eaa[aa) will be an eigenvector of ô with eigenvalue a.

The momentum operator in 1D is defined as px=-ihδδx the Kinetic energy operator is Tx=-h22mδ2δx2…

Answered: What is the Hamiltonian of a system?…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter6: Quantum Mechanics In One Dimension

Section: Chapter Questions

Problem 35P

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What is the Hamiltonian of a system? Show that the kinetic energy operator commutes with the linear momentum operator? If the vectors in the set are eigenvectors of a linear operator ô with eigenvalue a, then show that the vector |n) =Eªa[«a) will be an eigenvector of Ô with eigenvalue a.