EP PHYSICS: PRIN.APP.AP-MOD.MASTERING
7th Edition
ISBN: 9780137453276
Author: GIANCOLI
Publisher: SAVVAS L
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 3 Solutions
EP PHYSICS: PRIN.APP.AP-MOD.MASTERING
Ch. 3 - A small heavy box of emergency supplies is dropped...Ch. 3 - One car travels due east at 40 km/h, and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Give several examples of an object's motion in...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a player hits a very...Ch. 3 - If V =V 1+V 2 , is V necessarily greater than V1,...Ch. 3 - Two vectors have length V1=3.5km and V2=4.0km ....Ch. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...
Ch. 3 - Prob. 10QCh. 3 - How could you determine the speed a slingshot...Ch. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - A projectile is launched at an upward angle of 300...Ch. 3 - Prob. 16QCh. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - 18. A person sitting in an enclosed train car,...Ch. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - A baseball player hits a ball that soars high into...Ch. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Which of the three kicks in Fig. 3-32 is in the...Ch. 3 - A baseball is hit high and far. Which of the...Ch. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - A car travels 10 m/s east. Another car travels 10...Ch. 3 - A car is driven 225 km west and then 98 km...Ch. 3 - A delivery truck travels 21 blocks north, 16...Ch. 3 - If Vx=9.80 units and Vy=6.40 units, determine the...Ch. 3 - Graphically determine the resultant of the...Ch. 3 - V is a vector 24.8 units in magnitude and points...Ch. 3 - Vector V is 6.6 using long and points along the...Ch. 3 - Figure 3-33 shows two vectors, A and B , whose...Ch. 3 - Prob. 8PCh. 3 - Three vectors are shown in Fig. 3-35 Q. Their...Ch. 3 - (a) given the vectors A and B shown in Fig. 3-35,...Ch. 3 - Determine the vector AC , given the vectors A and...Ch. 3 - For the vectors shown in Fig. 3—35, determine (a)...Ch. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - 17. (l) A tiger leaps horizontally from a...Ch. 3 - 18. (l) A diver running 2.5 m/s dives out...Ch. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - 21. (Il) A ball thrown horizontally at 12.2 m/s...Ch. 3 - (Il) A football is kicked at ground level with a...Ch. 3 - Prob. 23PCh. 3 - You buy a plastic dart gun,and being a clever...Ch. 3 - Prob. 25PCh. 3 - Extreme-sports enthusiasts have been known to jump...Ch. 3 - A projectile is fired with an initial speed of...Ch. 3 - An athlete performing a long jump leaves the...Ch. 3 - A shot-putter throws the "shot" (mass = 7.3 kg)...Ch. 3 - Prob. 30PCh. 3 - A rescue plane wants to drop supplies to isolated...Ch. 3 - Suppose the rescue plane of Problem 31 releases...Ch. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Suppose the kick in Example 3—6 is attempted 36.0...Ch. 3 - Revisit Example 3—7, and assume that the boy with...Ch. 3 - A stunt driver wants to make his car jump over 8...Ch. 3 - Prob. 38PCh. 3 - Huck Finn walks at a speed of 0.70 m/s across his...Ch. 3 - Determine the speed of the boat with respect to...Ch. 3 - Two planes approach each other head-on. Each has a...Ch. 3 - A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - A person in the passenger basket of a hot-air...Ch. 3 - 44. (Il) An airplane is heading due south at a...Ch. 3 - In what direction should the pilot aim the plane...Ch. 3 - 46. (Il) A swimmer is capable of swimming 0.60 m/s...Ch. 3 - (a) At what upstream angle must the swimmer in...Ch. 3 - 48. (Il) A boat, whose speed in still water is...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Two cars approach a street comer at right angles...Ch. 3 - Prob. 52GPCh. 3 - Prob. 53GPCh. 3 - A light plane is headed due south with a speed...Ch. 3 - Prob. 55GPCh. 3 - Prob. 56GPCh. 3 - 57. Apollo astronauts took a "nine iron" to the...Ch. 3 - 58. (a) A long jumper leaves the ground at above...Ch. 3 - Prob. 59GPCh. 3 - Prob. 60GPCh. 3 - Prob. 61GPCh. 3 - Prob. 62GPCh. 3 - Prob. 63GPCh. 3 - Prob. 64GPCh. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Prob. 67GPCh. 3 - Prob. 68GPCh. 3 - 69. A boat can travel 2.20 m/s in still water. (a)...Ch. 3 - Prob. 70GPCh. 3 - Prob. 71GPCh. 3 - A rock is kicked horizontally at 15 m/s from a...Ch. 3 - Prob. 73GPCh. 3 - A ball is shot from the top of a building with an...Ch. 3 - If a baseball pitch leaves the pitcher's hand...
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