Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
expand_more
expand_more
format_list_bulleted
Question
Chapter 12.1, Problem 12.1P
To determine
Prove that
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
For Problem 9.19, how do I manage to solve for part B? The title of this chapter is Electron Spin. This problem is part of quantum mechanics. Here is a page that may assist in what we're dealing with.
Write 4 spin orbitals for the excited state He atom with the configuration 1S*2s4. Factor each
spin orbital into a product of space and spin eigenfunctions. (b) What property does each of
these spin orbitals have ? (c) Do the spin orbitals have the same of different energies ? Explain.
5.
Consider a particle in a one-dimensional rigid box of length a. Recall that a rigid box has U (x) = 00 for x a,
and U () = 0 for 0 )
Chapter 12 Solutions
Introduction To Quantum Mechanics
Knowledge Booster
Similar questions
- An electron is at rest in an oscillating magnetic field along the z-direction with B₂-Bo cos(wt) where Bo and are constants. a. Write the Hamiltonian matrix for this spin system. b. The electron starts out at t=0 in the spin-up state with respect to the x-axis, that is x(0)=X+(*), Determine x(t) at any subsequent time. Hint: Solve the time-dependent Schrodinger equation directly.arrow_forwardDraw 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_forwardWhich of the following statements is true? I. Every one-particle Hamiltonian operator commutes with L2 and with Lz. II. For a system of n noninteracting particles, each stationary-state wave function has the form V = V1 (91) + V2 (92) +…+Vn (9n) III. The energy of a system of noninteracting particles is the sum of the energies of the individual particles, where the energy of each particle is found by solving a one- particle Schrödinger equation. O II and III || I and III I |||arrow_forward
- H2) Particle in a finite well: Let us consider the following potential. V(x) = -Vo for |x| L %3Darrow_forward# quantum mechanical particde in a harmonic osci lator potential has the initial wave function y,)+4,(x), where Y. and Y, are the real wavefunctions in the ground and fist exci ted state of the harmonic osciclator Hamiltonian- for Convenience we take mzhzw= 1 for the oscillator- What ở the probabilpty den sity of finding the par ticke at x at time tza?arrow_forwardConsider the sheet formed by the intersection of the curves: x = 0, x = 4, y = 0, y = 3 [=] cm, with a variable density of mass per unit area ρ(x,y) = xy [=] g/cm2 . Write and evaluate multiple integrals to calculate the following: a. The area of the sheet [=] cm2 . b. The mass of the sheet [=] g. c. The shell moments about the x & y axes (Mx & My) [=] g∙cm. d. The position of the center of mass of the sheet ( , ) [=] cm.arrow_forward
- Answer the following with detailed and clear solution. 31. Substitute the function ψ (x, t) = e-2πiEt/h ψ (x) into the time-dependent Schrodinger equation and determine the eigenvalue.arrow_forwardi am confused about which delta curent potential to take in consideration here to answer the questions in the attached problem #25 can you please break down the steps to answer the questions. Thank youarrow_forwardThe quantum numbers for several eigenstates are listed below. Match each with its degeneracy. Be careful, and note that states like (2,9) and (6,7) are also degenerate for this system! (1,2) ¹.4 (2,2) B.2 (3,5) C.5 - - (1,7) D.3 E.1arrow_forward
- A Lennard-Jones potential with repulsive interaction prep (r) = A.r-12 with A =58.68 eV Å12 and Patt (r) = -B.r- with B =0.16 eV ź. Derive the force distance curve and calculate the equilibrium distance. Give your results in Å and round if off to two decimal places, i.e. the nearest hundredth.arrow_forward1 Consider an electron in the spin-state σ = √2 =[α + B]. (a) Is σ an eigenfunction of Ŝ²? If yes, what is the eigenvalue and what is the corresponding spin magnitude? If no, what is the expectation value? (b) Is σ an eigenfunction of Ŝ, ? If yes, what is the eigenvalue? If no, what is the expectation value?arrow_forwardFor Problem 9.18, how do I determine part A & B? This is from a chapter titled, "Electron Spin." This chapter is part of quantum mechanics.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