Fundamentals of Physics, Binder Ready Version
10th Edition
ISBN: 9781118230640
Author: Halliday, David; Resnick, Robert; Walker, Jearl
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 39, Problem 45P
To determine
To find:
a) The radial probability density
b) The radial probability density
c) To show that each P(r) is consistent with the corresponding dot plot.
d) To show that the sum of the radial probability densities is spherically symmetric.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
a) Determine the quantum mechanical operators for the
following:
Lx=yPz - ZPy
That is, find
Îx = ŷêz - 2py
where
x = x
êx
=
ћд
і дх
Ly = Zpx - xPz
Îy = 2px - xôz
ŷ = y
Py
=
b) Determine the commutator
i.e. [θ‚΂] - -
=
x 'y
ħ a
і ду
2 = z
Lz = xpy - ypx
Û₂ = âÔy – ŷÂx
êz
=
(΂΂¸ – θÎx)ƒ(xx.2) = ?
L
y
ħ ə
і дz
An electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is, the electron is trapped in a two dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron depend on the quant numbers Nx and Ny, the allowed energies are given by
E = H^2/8Me ( Nx^2/ Lx^2 + Ny^2/Ly^2)
i) assuming Lx and Ly =L. Find the energies of the lowest for all energy levels of the electron
ii) construct an energy level diagram for the electron and determine the energy difference between the second exited state and the ground state?
I need to determine if the given state is entangled or not.
|ϕ1⟩ = (1 / √3) |00⟩ − (i / √3) |01⟩ + (1+ i / √6) |11⟩
Chapter 39 Solutions
Fundamentals of Physics, Binder Ready Version
Ch. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10Q
Ch. 39 - Prob. 11QCh. 39 - Prob. 12QCh. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PCh. 39 - Prob. 62PCh. 39 - Prob. 63PCh. 39 - Prob. 64PCh. 39 - A diatomic gas molcculc consistsof two atoms of...Ch. 39 - Prob. 66PCh. 39 - Prob. 67PCh. 39 - Prob. 68PCh. 39 - Prob. 69PCh. 39 - Prob. 70PCh. 39 - An old model of a hydrogen atom has the charge e...Ch. 39 - Prob. 72PCh. 39 - Prob. 73P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Problem 63. 64 Martian CO, laser. Where sunlight shines on the atmosphere E = 0.289 eV of Mars, carbon dioxide mole- cules at an altitude of about 75 km undergo natural laser action. The energy levels involved in the action are shown in Fig. 40-26; population inversion occurs be- tween energy levels E, and E. (a) What wavelength of sunlight E = 0.165 ev E =0 excites the molecules in the las- Figure 40-26 Problem 64. ing action? (b) At what wave- length does lasing occur? (c) In what region of the electromag- netic spectrum do the excitation and lasing wavelengths lie?arrow_forwardView a system of two particles that do not interact with each other, where each particle can occupy three possible states, each with energy E, 2ɛ, 3ɛ (i) Marwell Boltzmann Na. Configuration 1 2 3 4 S 6 7 8 9 1 2 3 1 2 3 + 5 6 () Fermi-Dirac No. Configuration & () Boson Base- Ginstein: Nader Canliguration AG A A B B E AA A A Distinguishable 28 E A A AB B A A 8 AA A A 3E In distinguishable 28 28 AB A B A B A JE AA A A Energy system A A 28 پی ال سی * 48 Indistinguishable We know fermion follow exclusion principle.. 38 Energy que tom 32 4E 28 42 SE SE Energy system 22 48 68 3E 4E SE 38 48 SE Calculate the system partition function as a temperature function for the three statistics abovearrow_forwardIf an electron in an atom has orbital angular momentum with values limited by 3, how many values of (a) Lorb,z and (b) morb,z can the electron have? In terms of h,m, and e, what is the greatest allowed magnitude for (c) Lorb,z and (d) morb,z? (e) What is the greatest allowed magnitude for the z component of the electron’s net angular momentum (orbital plus spin)? (f) How many values (signs included) are allowed for the z component of its net angular momentum?arrow_forward
- Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Intensity (relative) 40.0 Peak 1: Peak 2: Peak 3: 50.0 Peak 4: 70.0 Diffraction angle 20 a) Index (i.e., give h, and I indices) for each of these peaks. 60.0 Diffraction pattern for polycrystalline copper. 80.0 90.0arrow_forwardi) Consider the anomalous Zeeman pattern of D1 and D2 lines of sodium. Calculate the frequency of the component of D₁ line corresponding to Am, = +1 where Am, = m - m (Double prime represent lower state).arrow_forwardWhat is the smallest value that ℓ may have if L is within 10° of the z axis?arrow_forward
- Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², 1 = 0,1,2,..., n-1 Lz = m₂ħ, m₁ = 0, ±1, ±2,..., ±l 3 S² = s(s+1)h² = h², 4 Consider an excited electron (n > 1) on an H-atom. Sz = msh 1 =+=ħ Show that the minimum angle that the I can have with the z-axis is given by n-1 n L.min = cos Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/Varrow_forwardJC-42) Probability to Find an Electron An electron in its ground state is trapped in the 1D Coulomb potential energy. What is the 0.99ao and x = probability to find it in the region between x = 1.01ao?arrow_forwardConstruct the energy-level diagram for the He+ ion(like Fig. 27–29).arrow_forward
- If an electron is in the n=3 state l =1, list the possible quantum states (n, l, ml,ms ).arrow_forwardA magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?arrow_forwardA sample consisting of 6 molecules has a total energy of 6 EU. There are possible energy states corresponding to energies of 0 EU, 1 EU, 2 EU, 3 EU, 4 EU, 5 EU, and 6 EU. (a) Determine all possible configurations that are consistent with the total energy. Calculate the weight of each configuration. (b) Which configuration(s) is(are) the most probable? (c) Which configuration(s) is(are) the least probable?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON