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...
Analyzing Data In June, Snead's Snack Bar sold 1,000 fruit smoothies for $3.50 each. In July, they sold 1,300 fruit smoothies at a price of$2.00. Is the demand for fruit smoothies elastic or...
A study analyzed the sleep habits of college students. The study found that the mean sleep time was 6.8 hours, with a standard deviation of 1.4 hours. Random samples of 100 sleep times are drawn from...
Van Gogh Frame Company prepared the following sales budget for the current year: At the end of December 2010, the following unit sales data were reported for the year: For the year ending December...
Given that 57.7 fex is equal to 1 gal and that 14.3 glo is equal to 1 day, how many cL/hr are there in 0.568 fex/glo? ( NOTE: A fex and glo are are both fictitious units of volume and time,...
Find all (real) values of k for which A is diagonalizable. k A = | 0 2 0
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 .
Consider the hypothesis that stress at work causes family conflict at home. a. What type of relationship is proposed (e.g., positive linear, negative linear)? b. Graph the proposed relationship. c....
This presentation uses a consistent visual style and template. In your opinion, does it work well with this presentation? If so, why? If not, why not?
Repeat parts (a) through (c) of Problem 12 assuming that Carlisle's board of directors has decided that since this action is based on a Federal government citation, no financial gain should be...
This presentation includes a number of bullet-point slides. Are the bullets parallel? Are any slides too crowded? Are there any slides you would recommend revising?
What is the value of a derivative that pays off $$100$ in 6 months if an index is greater than 1,000 and zero otherwise? Assume that the current level of the index is 960, the risk-free rate is 8%...
Aerotron Electronics is considering purchasing a water filtration system to assist in circuit board manufacturing. The system costs $\$ 40,000$. It has an expected life of 7 years at which time its...
Is it possible for the standard deviation of a list of numbers to equal 0? If so, give an example. If not, explain why not.
Assume Eq. 6-14 gives the drag force on a pilot plus ejection seat just after they are ejected from a plane traveling horizontally at 1300 km/h. Assume also that the mass of the seat is equal to the...
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.
Apply Euler's method by hand with N = 4 to find yo, Y1, Y2, Y3, Y4 on [0,1] where Y' y' = - 2y + 3t y(0) =1 Note: Please don't use Python for this. You are allowed to use a calculator do the...
What amount paid on September 6 is equivalent to $ 2 , 6 0 0 paid on the following December 1 if money can earn 6 . 6 % ? ( Use 3 6 5 days a year. Do not round intermediate calculations and round...
For R1= 6.8k, and R2= 1k, Then: V(1) = v V. 1(2) = mA.

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