A linear operator Ä is anti-Hermitian if for all pairs of well-behaved functions. (a) Show that d/dx

Question:

A linear operator Äˆ is anti-Hermitian if

for all pairs of well-behaved functions.
(a) Show that d/dx is anti-Hermitian.

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

Step by Step Answer:

Related Book For book-img-for-question

Quantum Chemistry

ISBN: 978-0321803450

7th edition

Authors: Ira N. Levine

See More Books

Question Posted: May 26, 2016 06:23 AM

See More Questions

Two Hermitian operator anti commute {A, B} = AB + BA = 0. In it possible to have a simultaneous (that is, common) eigenket of A and B? Prove or illustrate your assertion.
Let |a> and |a> be eigenstates of a Hermitian operator A with eigenvalues and , respectively ( ). The Hamiltonian operator is given by H = | > < | + | > < |, where is just a real number. a....
A quantum-mechanical state is known to be a simultaneous eigenstate of two Hermitian operators A and B which anti commute, AB + BA = 0. What can you say about the eigenvalues of A and B for state ?...
Describe the graph of a constant function.
An engineer who owns a construction company that specializes in large commercial projects noticed that material costs increased at a rate of 1% per month over the past 12 months. If a material cost...
Segment A of the composite beam is made from 2014-T6 aluminum alloy and segment B is A-36 steel. If w = 0.9 kip/ft, determine the absolute maximum bending stress in the aluminum and steel. Sketch the...
Consider the Latin Square design and data from Bliss and Rose [1940] shown in Table 5.9. a. Use R to compute the ANOVA table. Interpret the results. b. Estimate the treatment effects. Interpret the...
Use the data in problem 8 to create a Pareto diagram. Problem 8 In an apparel factory, every time a sewing machine breaks, the symptom is recorded. In the past 30 days, all of the sewing machine...
In what ways do Lean Management practices facilitate the cultivation of a culture of continuous improvement and empower employees to actively engage in problem-solving initiatives aimed at enhancing...
Coal containing 5.0 wt% S is burned at a rate of 1250lb m /mm in a boiler furnace. All of the sulfur in the coal is oxidized to SO 2 . The product gas is sent to a scrubber in which most of the SO 2...
(a) If are Hermitian operators, prove that their product is Hermitian if and only if commute. (b) If are Hermitian, pove that + is Hermitian. The operator + is called the anticommutator of . (c) Is...
Explain why each of the following integrals must be zero, where the functions are hydrogen like wave functions: (a) (b) (2p1|L|3p-1):
On the basis of the following data, determine the value of the inventory at the lower of cost and NRV on an individual basis. Assemble the data in the form illustrated in Exhibit 5, on page 315....
While the Fed enjoys a relativity high degree of independence for a government agency, it feels political pressure from the president and Congress because of the following except OA. the Fed must go...
1. A car moving with a velocity of +10m/s enters a freeway entrance ramp. Four seconds later it is moving +30 m/s. a. What is the car's acceleration? b. What is the car's velocity 1.5s after entering...
The European System of Central Banks (ESCB) is similar to the Federal Reserve System in that: O A. monetary operations are centralized. B. it is structured such that the central banks for each...
4.) An airplane flies because of the lift force generated by the pressure difference between the top and bottom of the wing. The mass of the airplane is 1353 kg and the total area of the wings is...
kg m 2.) In an industrial plant, olive oil of density 875 flows from a tank via a hose of diameter 3.00cm that has a pressure of 3.3x105 Pa and has a speed of 2m/s. The olive oil moves upwards a...
In Exercises draw the graph and determine the domain and range of the function. y = log 2 (x + 1)
For the following exercises, rewrite the sum as a product of two functions or the product as a sum of two functions. Give your answer in terms of sines and cosines. Then evaluate the final answer...
Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen and 1.00 mol...
A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P19.53) (a) If n moles of an ideal gas are in the cylinder at a temperature of T,...
A bimetallic strip is made of two ribbons of dissimilar metals bonded together. (a) First assume the strip is originally straight. As they are heated, the metal with the greater average coefficient...
What are some of the best ways for attaining skills in active listening?
. Do you agree with the following statement: "English is a powerful tool that has become entrenched in business processes worldwide-whether for analyzing stocks or issuers, budgeting, or organizing...
As a roofer business owner describe the importance of effective communication in your current work/role?

A linear operator Ä is anti-Hermitian if for all pairs of well-behaved functions. (a) Show that d/dx

Question:

(IĈI8) =-(glĈlf)*

Step by Step Answer:

a In Eq 716 let u and v g Then 716 becomes b Since i...View the full answer

Quantum Chemistry

Students also viewed these Mechanics questions