It's a quantum mechanics question. Consider a particle of mass m in a one-dimensional box, of dimension L, where the potential vanishesinside the box, and is infinite outside of it. A linear potential V = Ax is added inside the box as aperturbation. Find the shift to the ground state energy to second order in A, and the correction tothe ground state wavefunction to first order in A.

The unperturbed energy (En0) and the unperturbed wave function (ψn0) of the nth-state of a particle…

Consider a particle of mass m in a one-dimensional box, of dimension L, where the potential vanishes inside the box, and is infinite outside of it. A linear potential V = Xx is added inside the box as a perturbation. Find the shift to the ground state energy to second order in A, and the correction to the ground state wavefunction to first order in ).

Consider a particle of mass m in a one-dimensional box, of dimension L, where the potential vanishes inside the box, and is infinite outside of it. A linear potential V = Xx is added inside the box as a perturbation. Find the shift to the ground state energy to second order in A, and the correction to the ground state wavefunction to first order in ).

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

Chapter7: Tunneling Phenomena

Section: Chapter Questions

Problem 1Q

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Question

It's a quantum mechanics question.

Consider a particle of mass m in a one-dimensional box, of dimension L, where the potential vanishes
inside the box, and is infinite outside of it. A linear potential V = Ax is added inside the box as a
perturbation. Find the shift to the ground state energy to second order in A, and the correction to
the ground state wavefunction to first order in A.

Branch of physics that deals with the behavior of particles at a subatomic level.

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