The matrices Icirc plusmn i (i 1, 2, 3) and Icirc sup2 in the Dirac equation (1 8) can be chosen to have the explicit forms where 1 and 0 are the 2 Atilde 2 unit matrix and null matrix, respectively, and the Pauli spin matrices Iuml i are Check that these forms satisfy the anti commutation relation...

From A and similarly Hence i i i 0 for i 123 U ...

The matrices Î± i (i = 1, 2, 3) and Î² in the Dirac equation (1.8) can

Question:

The matrices Î±_i(i = 1, 2, 3) and Î² in the Dirac equation (1.8) can be chosen to have the explicit forms

-(:) *-(; 4).

where 1 and 0 are the 2 Ã— 2 unit matrix and null matrix, respectively, and the Pauli spin matrices Ïƒ_i are -(? :). -- (? :). -1 -1

Check that these forms satisfy the anti commutation relations

[Î±_i, Î²] ‰¡ Î±_iÎ² + Î²Î±_i = 0 and [Î±_i, Î±_j] = 0, where i ‰ j = 1, 2, 3.

Equation 1.8

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Particle Physics

ISBN: 978-1118912164

4th Edition

Authors: Brian R. Martin, Graham Shaw

See More Books

Question Posted: Dec 13, 2018 11:45 AM

See More Questions

The eigenfunctions Î± and Î² of the Hermitian operator S^z form a complete, orthonormal set, and any one-electron spin function can be written as c1Î± +...
The nuclear spin operators can be represented as 2 Ã 2 matrices and Î± and Î² can be represented as column vectors in the form Given that And Show that And IÌ z...
The top shown is supported at the fixed point O. Denoting by , , and the Eulerian angles defining the position of the top with respect to a fixed frame of reference, consider the general motion of...
Which of the following statements represent(s) how expenses affect equity? If expenses increase, then total equity decreases. If expenses decrease, then equity will decrease. Higher expenses result...
1. After the initial sequencing change, West Bank provided its customers with a document titled "Miscellaneous Fees" in which a footnote stated, "Checks written on your account will be paid in order...
What are the advantages of purchasing a packaged solution? What are the disadvantages or dangers?
Craftmore Machining produces machine tools for the construction industry. The following details about overhead costs were taken from its company records. Additional information on the drivers for its...
Monitoring of Receivables The Russ Fogler Company, a small manufacturer of cordless telephones, began operations on January 1. Its credit sales for the first 6 months of operations were a follows:...
PLease don't give answer for this question im \ bar ( a ) ca a a mi i ? ) ) - , C ) ) . Dee na bekee naan m ga - enye vootu 1 5 na aka nt m niile.
Before starting EM7.1, verify that QBO Inventory Tracking is turned on. Go to Gear icon > Account and Settings > Sales > Products and Services > Track quantity and price/rate On > Track inventory...
Write down equations in symbol form that describe the following interactions: (a) The elastic scattering of an electron anti neutrino and a positron; (b) The elastic scattering of proton and a...
Draw one fourth-order diagram for each of the reactions (a) + e + e and (b) e + + e e + + e .
Evaluate the function F(x) and G(x) from Problem 10 at the following values of x: - 1, - 0.1, - 0.01, - 0.001, 0.001, 0.01, 0.1, 1. (a) F(x) = |x| / x (b) G(x) = sin x/x
You are the manager of internal audit of Coverit Corporation, a large insurance company. One day you receive an urgent letter from the controller expressing his concerns about some organizational...
Daintree Ltd. is a large retailer that operates department stores in all major cities throughout Australia. Recently it has expanded its operations into Southeast Asia. Although each store operates...
Draw two points P and Q. Then sketch PQ. Add a point R on the ray so that Q is between P and R. C D A B FL E
Hypothesis testing and testing claims with confidence intervals are two different approaches that lead to the same conclusion. In the following activities, you will compare and contrast those two...
The following system of periodic tasks is scheduled and executed according to a cyclic schedule. Draw an execution trace (timeline) showing two occurances of each task. Ti ei Pi 1 8 T2 4 15 T3 3 20...
In Exercises find the x-values (if any) at which is not continuous. Which of the discontinuities are removable? f(x) = -2x + 3, x < 1 x, x 1
In muscle tissue, the ratio of phosphorylase a to phosphorylase b determines the rate of conversion of glycogen to glucose 1phosphate. Classify how each event affects the rate of glycogen breakdown...
In the LHC collider at CERN two proton beams collide head on with energies E p = 7 TeV. What energy would be needed to obtain the same centre of mass energy with a proton beam on a fixed hydrogen...
The Universe contains two types of electromagnetic radiation: (a) the micro-wave background at T = 3 K, corresponding to photon energies E Î³, 3K 1 meV, (b) The Extra galactic Background...
Consider a particle of mass M decaying into two bodies of masses m 1 and m 2 . Give the expressions of the energies and of the momenta of the decay products in the CM frame.
Just work out the assignment on your own sheet, you dont need the excel worksheet. Classic Coffee Company Best friends, Nathan and Cody, decided to start their own business which would bring great...
Financial information related to the proprietorship of Ebony Interiors for February and March 2019 is as follows: February 29, 2019 March 31, 2019 Accounts payable $310,000 $400,000 Accounts...
(b) The directors of Maureen Company are considering two mutually exclusive investment projects. Both projects concern the purchase of a new plant. The following data are available for each project...

The matrices Î± i (i = 1, 2, 3) and Î² in the Dirac equation (1.8) can

Question:

-(:) *-(; 4). -(? :). -- (? :). -1 -1

Step by Step Answer:

From A and similarly Hence i i i 0 for i 123 U...View the full answer

Particle Physics

Students also viewed these Physics questions