Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 35, Problem 54P
(a)
To determine
To show: The probability of finding a particle in the left-hand quarter of the infinite square well is
(b)
To determine
To Show: For odd
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider a quantum mechanical ideal harmonic oscillator having a zero point energy of 1.4*10^-20J. how much energy could be released if the oscillator makes a transition from n=4 to n=2 states?
a)0.69*10^19J
b)2.88*10^-20J
c)5.76*10^20J
d)none are correct
In quantum mechanics.
Prove that
For a particle in a three-dimensional box, if the particle is in the (nx, ny, nz)=(4,3,3) state, what is the probability of finding the particle within
0<x<7LX/8
0,y,3Ly/4
LZ/4<z<Lz
Chapter 35 Solutions
Essential University Physics (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
Knowledge Booster
Similar questions
- The Pauli spin matrices in quantum mechanics are 0 A B C = -1 0 Show that A2 B2 C2 = 1. a) -BA b) Show that AB Show that AB BA 2iCarrow_forwardFor a particle in a three-dimensional cubical box, what is the degeneracy (number of different quantum states with the same energy) of the energy levels (a) 3p2h2/2mL2 and (b) 9p2h2/2mL2?arrow_forwardA particle is in a box of length L. Suddenly, the length of the box is increased to 2L. What happens to the energy levels as shown? (a) nothing; they are unaffected. (b) They move farther apart. (c) They move closer together.arrow_forward
- A quantum particle in an infinitely deep square well has a wave function that is given by ψ1(x) = √2/Lsin (πx/L)for 0 ≤ x ≤ L and is zero otherwise. (a) Determine the probability of finding the particle between x = 0 and x = 1/3L.(b) Use the result of this calculation and a symmetry argumentto find the probability of finding the particle between x = 1/3 L and x = 2/3 L. Do not re-evaluate the integral.arrow_forwardAn electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to 5 times the energy difference E54 between the levels ng and n4? (c) Can a pair of adjacent levels have an energy difference equal to 2E5 4? (a) Number i (b) Number (c) no Units Units This answer has no units This answer has no unitsarrow_forwardAn electron is trapped in an infinitely deep one-dimensional well of width 0,251 nm. Initially the electron occupies the n=4 state. Suppose the electron jumps to the ground state with the accompanying emission of photon. What is the energy of the photon?arrow_forward
- Consider a one-dimensional square potential well with a width of L and depth Vo. An electron is confined within this potential well. a) Calculate the energy levels of the electron in terms of L and Vo. b) Determine the wavelength of the electron associated with its lowest energy state (n=1). c) If the potential well has the width of L=5nm and Vo=10eV, calculate the energy of the electron in its lowest energy state.arrow_forwardAn electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to 7 times the energy difference E65 between the levels n6 and n5? (c) Can a pair of adjacent levels have an energy difference equal to 4E65? (a) Number i (b) Number i (c) no < Units Units This answer has no units This answer has no unitsarrow_forwardSeven electrons are trapped in a one-dimensional infinite potential well of width L.What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.arrow_forward
- A quantum particle in an infinitely deep square well has a wave function given by ψ2(x) = √2/L sin (2πx/L)for 0 ≤ x ≤ L and zero otherwise. (a) Determine the expectation value of x. (b) Determine the probability of finding the particle near 1/2 L by calculating the probability that the particle lies in the range 0.490L ≤ x ≤ 0.510L. (c) What If? Determine the probability of finding the particle near 1/4L bycalculating the probability that the particle lies in the range 0.240L ≤ x ≤ 0.260L. (d) Argue that the result of part (a)does not contradict the results of parts (b) and (c).arrow_forwardAngular momentum in quantum mechanics is given by L = Lxi+Lyj+Lzk with components Lx = ypz- zpy, Ly = zpx - xpz, Lz = xpy - ypx. a) Use the known commutation rules for x, y, z, px, py and pz to show that [Ly, Lz] = ihLx. b) Consider the spherical harmonic Y1, -1([theta], [phi]) = (1/2)*sqrt(3/2pi)*sin[theta]*e-i[phi], where [theta] and [phi] are the polar and azimuthal angles, respectively. -> i) Express Y1, -1 in terms of cartesian coordinates. -> ii) Show that Y1, -1 is an eigenfunction of Lz. ci) Express the wavefunction [psi]210 for the 2pz orbital of the hydrogen atom (derived in the lectures and given in the notes) in cartesian coordinates. [Note: This involves a different spherical harmonic than in (b).] ii) Based on this expression, show that this wavefunction satisfies the three-dimensional stationary Schrodinger equation of the hydrogen atom, and determine the corresponding energy. I have attached the question better formatted, as well as the information from…arrow_forwardSoru 6 33492 Thirteen electrons are trapped in a two-dimensional infinite potential well of width L Assume that the electrons do not interact with one another, they follow the Pauli principle and they have spin quantum number. What multiple of gives the energy of the ground state of this system? [Genişliği L olan iki-boyutlu, sonsuz bir potansiyel kuyusunda onüç tane elektron bulunuyor. 8mL Elektronların birbiri ile etkileşmediğini, Pauli prensibine uyduklarını ve bir spin kuantum sayıISına sahil oldklarını farzedelim. Bu sistemin taban enerjisi h2 'nin kaç katıdır?] O a. 13 O b. 9 O c. 10 O d. 5 O e. 8 Sonraki sayfaarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning