Answered: 6.8. Establish that the position… | bartleby

Related questions

Question

The position-momentum commutation relation is given as [x̂,p̂_x] = iℏ.

**6.8.** Establish that the position operator \(\hat{x}\) is Hermitian (a) by showing that

\[
\langle \varphi | \hat{x} | \psi \rangle = \langle \psi | \hat{x} | \varphi \rangle^*
\]

or (b) by taking the adjoint of the position-momentum commutation relation.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

SECTION 4-3 DeMorgan's Theorems 9. Apply DeMorgan's theorems to each expression: (a) A + B (e) A(B + C) (f) AB + CD (g) AB + CD (b) AB (c) A + B + C (d) ABC (h) (A + B)C + D) 10. Apply DeMorgan's theorems to each expression: (a) AB(C + D) (b) AB(CD + EF) (c) (A + B+C + D) + ABCD (d) (A + B+ C + D)(AB CD) (e) AB(CD + EF)(AB + CD) 11. Apply DeMorgan's theorems to the following: (a) (ABC)(EFG) + (HIJ)(KLM) (b) (A + BC + CD) + BC (c) (A + B)(C + D)(E + F)(G + H) SECTION 4-4 Boolean Analysis of Logic Circuits 12. Write the Boolcan expression for cach of the logic gates in Figure 4-55. FIGURE 4-55 D B. (a) (b) (c) (d)
Problem 2: A baseball of mass m = 0.25 kg is dropped from a height h, = 2.05 m. It bounces from the concrete below and returns to a final height of h2 = 1.35 m. Neglect air resistance. Randomized Variables m = 0.25 kg h = 2.05 m h2 = 1.35 m
A.8. Show with the aid of the Lorentz transformation (A.28) that the quantity c²₁² — x² - y² – z² is an invariant, namely c²1² − (.x² + ¸‚µ‚² + =²) = (²² 1¹² — (x²² + 1,²² 1₁² +=²²)
(a) Find the momentum (in kg- m/s) of a 1.20 x 109 kg asteroid heading towards the Earth at 3,050 km/s. (Hint: Use the approximation that y = 1 + 2c² least six significant figures.) kg-m/s (b) Find the ratio of this momentum to the classical momentum. (Enter your answer to at least six significant figures.) Р Pclassical at low velocities. Enter your answer to at
Given the time series below. Which of these can be interpreted as a generic chaotic trajectory of some dynamical system? 1) Acos(b sin(t)) 2) A1cos(f1t)+A2sin(f2t) 3) Acos(at2 +b) 4) Atang[at/(1+t)]