Question 19The wave function of a quantum particle of mass m iswhere A. B, and кare constants.(a)(x) = A cos(kx) + B sin(kx)Assuming the particle is free (U= 0), show that (x) is a solution of theSchrödinger equation.(b)Find the corresponding energy E of the particle.

Given wavefunction of quantum particleψ(x)=Acos(kx)+Bsin(kx)To show that the given wave function…

Answered: Question 19 The wave function of a…

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 6P

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Question 19 The wave function of a quantum particle of mass m is where A. B, and кare constants. (a) (x) = A cos(kx) + B sin(kx) Assuming the particle is free (U= 0), show that (x) is a solution of the Schrödinger equation. (b) Find the corresponding energy E of the particle.