Answered: a) Use the energies and eigenstates for…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Question

The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is given by H = aS_y, where a is a constant.

a) Use the energies and eigenstates for this case to determine the time evolution psi(t) of the state with initial condition psi(0) = (1/root(2))*matrix(1,1). (Vertical matrix, 2x1!)

b) For your solution from part (a), calculate the expectation values <S_x>, <S_y>, <S_z> as a function of time.

I have attached the image of the orginial question!

The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is give
by H = aSy, where a is a constant.
(a) Use the energies and eigenstates for this case to determine the time evolution V(t) of
the state with initial condition ¥(0) = 5 G).
(b) For your solution from part (a), calculate the expectation values (Sz), (Sy) and (S:) as
a function of time.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions