lecture5_product_op_2

lecture5_product_op_2 - A S Edison University of Florida...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A. S. Edison University of Florida 2009 Today’s Lecture 6) Mon, Oct 14: Product operators II a. Scalar (J) coupling b. Multiple pulse experiments A. S. Edison University of Florida 2009 Last lecture we discussed rotations of bulk magnetization. = 1 Mx = 1 My = 1 Mz x y z x y z x y z x y z x y z x y z This was the example of a rotation of Mz around the x-axis by an angle φ . The vector went toward the –y axis. - = + +- + + + = - ) ( ) ( ) ( ) ( 1 ) ( ) ( ) ( ) ( 1 f f f f f f f f Cos Sin Cos Sin Cos Sin Sin Cos A. S. Edison University of Florida 2009 Now we get a bit more complicated… How many states does a spin ½ particle have? 2 (don’t forget 2I+1) How do the 2 quantum states relate to 3D Cartesian space? Different Cartesian orientations arise from a superposition of quantum mechanical states. A. S. Edison University of Florida 2009 Quantum mechanics again = 1 a = 1 1 2 1 x I For a proper treatment of the subject, please see books by Abragam, Ernst et al, Levitt, Goldman, Farrar, or Cavanagh et al. = 1 b The spin can be in two states: The angular momentum can be represented by: - = 2 1 i i I y - = 1 1 2 1 z I Pauli spin matrices A. S. Edison University of Florida 2009 Quantum Mechanics Rotations -- = ) 2 / cos( ) 2 / sin( ) 2 / sin( ) 2 / cos( ) ( q q q q q i i R x QM still involves rotations. Now it is slightly more complicated, so I will just present one case and let the...
View Full Document

{[ snackBarMessage ]}

Page1 / 16

lecture5_product_op_2 - A S Edison University of Florida...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online