An electron is at rest in an oscillating magnetic field along the z-direction with B₂-Bo cos(wt) where Bo and ware constants. a. Write the Hamiltonian matrix for this spin system. b. The electron starts out at t=0 in the spin-up state with respect to the x-axis, that is x(0)=x+(x), Determine x(t) at any subsequent time. Hint: Solve the time-dependent Schrodinger equation directly.

An electron is at rest in an oscillating magnetic field along the z-direction with B₂-Bo cos(wt) where Bo and ware constants. a. Write the Hamiltonian matrix for this spin system. b. The electron starts out at t=0 in the spin-up state with respect to the x-axis, that is x(0)=x+(x), Determine x(t) at any subsequent time. Hint: Solve the time-dependent Schrodinger equation directly.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter8: Atomic Structure

Section: Chapter Questions

Problem 87AP: Sketch the potential energy function of an electron in a hydrogen atom, (a) What is the value of...

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