Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 6.4, Problem 2E
To determine
The probability that the particle will be found in the middle half of the well in its nth state.
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Chapter 6 Solutions
Modern Physics
Ch. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.5 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.8 - Prob. 6ECh. 6 - Prob. 1QCh. 6 - Prob. 2QCh. 6 - Prob. 3QCh. 6 - Prob. 4QCh. 6 - Prob. 5Q
Ch. 6 - Prob. 6QCh. 6 - Prob. 7QCh. 6 - Prob. 8QCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 21PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 37PCh. 6 - Prob. 38P
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- Draw an energy level diagram for a nonrelativistic particle confined inside a three-dimensional cube-shaped box, showing all states with energies below 15· (h2/8mL2). Be sure to show each linearly independent state separately, to indicate the degeneracy of each energy level. Does the average number of states per unit energy increase or decrease as E increases?arrow_forwardA particle inside an infinite square well ( a = 1 ) start at the initial state Y(x, 0) = v3(1 – x)0 < x < 1 a) calculate the coefficient C1 b) what does |cq]² mean physically ?arrow_forwardPhysics Consider particles of mass "m" in an infinite square well (a box) of size "L". a. Write the wave function for a situation in which the particles are in a superposition of state "s" with energies E5, E6, E8 with probabilities P(E5) =P(E6) =1/4. b. Write explicitly the integral needed to calculate in order to find the average value of the position operator < X >. No need to calculate the integrals explicitly.arrow_forward
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- Find the normalization constant A [in Equation Ψ(x, y, z) = A sin(k1x)sin(k2y)sin(k3z) ] for the first excited state of a particle trapped in a cubical potential well with sides L. Does it matter which of the three degenerate excited states you consider?arrow_forwardThe energy eigenvalues of a 3-dimensional infinite well of sides a, b, c is given by Enml (n2 + m² +P)Eo Here n, m, lequal to 1, 2, .and E, is a constant energy. If b= a, c = 4, the energy levels up to the fourth excited state level in terms of En are Select one: O a. 4, 6, 13, 14 O b. 3, 6, 9, 11, 12 C. 4, 6, 9, 11, 12 O d. 4, 7, 10, 12, 13 О е. 4, 7, 9, 13, 14arrow_forwardThe odd parity eigenstates of the infinte square well , with potential V = 0 in the range −L/2 ≤ x ≤ L/2, are given by : (see figure) and have Ψn(x, t) = 0 elsewhere , for n=2 , 4 , 6 etc I have got the expectation value of momentum for ⟨p⟩ and ⟨p 2⟩ for n = 2 (see figures) By direct substitution, show that the wavefunction in the figure satisfies the timedependent Schrodinger equation (provided that En takes the value derived in figure).arrow_forward
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