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 6.4, Problem 6.8P
(a)
To determine
Show that the parity
(b)
To determine
Show that the eigen values of the parity operator are
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find A and B so that f(x, y) = x2 + Ax + y? + B has a local minimum at the point (4, 0), with z-coordinate 5.
A =
B =
Consider a finite potential well of depth -Uo.
Consider the case -U₁ < E <0.
-Uo
-a
+a
2. Consider a particle in a 2-dimensional infinite square well given by:
V(x) = {0 for 0≤x≤a and 0 ≤ y ≤a
otherwise
(a) What are the energy eigenvalue and the eigenket (eigenfunction) for the non-
degenerate level?
Chapter 6 Solutions
Introduction To Quantum Mechanics
Ch. 6.1 - Prob. 6.1PCh. 6.2 - Prob. 6.2PCh. 6.2 - Prob. 6.3PCh. 6.2 - Prob. 6.4PCh. 6.2 - Prob. 6.5PCh. 6.2 - Prob. 6.7PCh. 6.4 - Prob. 6.8PCh. 6.4 - Prob. 6.9PCh. 6.4 - Prob. 6.10PCh. 6.4 - Prob. 6.11P
Ch. 6.4 - Prob. 6.12PCh. 6.4 - Prob. 6.13PCh. 6.5 - Prob. 6.14PCh. 6.5 - Prob. 6.15PCh. 6.5 - Prob. 6.16PCh. 6.5 - Prob. 6.17PCh. 6.6 - Prob. 6.18PCh. 6.6 - Prob. 6.19PCh. 6.7 - Prob. 6.20PCh. 6.7 - Prob. 6.21PCh. 6.7 - Prob. 6.22PCh. 6.7 - Prob. 6.23PCh. 6.7 - Prob. 6.25PCh. 6.8 - Prob. 6.26PCh. 6.8 - Prob. 6.27PCh. 6.8 - Prob. 6.28PCh. 6.8 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37P
Knowledge Booster
Similar questions
- (d) A linear perturbation A' = nx is applied to the system. What are the first order energy corrections to the energy eigenvalues E? (e) An anharmonic energy perturbation is applied to the system such that H' nx*. What %3D is the first order energy correction E for the ground state |0)? NOTE: Only do the ground state!!!arrow_forwardCheck if the following operators with the corresponding functions could form an eigen value equations or not (where Bis a constant value) No. function Оperator 3 2 3 sin(ßx) sin(Bx) d dx 4 sin(ßx) dxarrow_forwardConsider the problem: [cput = (Koux)x+au, 0arrow_forwardFind the eigen value and the eigen function of Barrow_forwardUse the method of separation of variables to construct the energy eigenfunctions for the particle trapped in a 2D box. In other words, solve the equation: −ℏ22m(∂2Φn(x,y)∂x2+∂2Φn(x,y)∂y2)=EnΦn(x,y),−ℏ22m(∂2Φn(x,y)∂x2+∂2Φn(x,y)∂y2)=EnΦn(x,y), such that the solution is zero at the boundaries of a box of 'width' LxLx and 'height' LyLy. You will see that the 'allowed' energies EnEn are quantized just like the case of the 1D box. It is most convenient to to place the box in the first quadrant with one vertex at the origin.arrow_forwardFind the Expression for the Energy Eigenvalues, En. Needs Complete solution with 100% accuracy.arrow_forwardFind the energy eigenvalues and eigenfunctions of a particle subjected to a potential \[ V(x)=\frac{1}{2} k x^{2}-a x \] whereaandkare positive constants.arrow_forwardA particle of mass m moves in a three-dimensional box of sides a, b, c. If the potential is zero inside and infinity outside the box, find the energy eigenvalues and eigenfunctions.arrow_forwardEvaluate the commutator è = [x², Pe** =?arrow_forwardwhere and kyk₂ I 2 k 2m E 2 ħ² 2m ħ² (V-E) 3 Show that the solutions for region II can also be written as 2/₁₂ (²) = Ccas (₁₂²) + D sin (k₂²) for Z≤ 1W/ 4 Since the potential well Vez) is symmetrical, the possible eigen functions In You will be symmetrical, so Yn will be either even or odd. a) write down the even solution for region. II b) write down the odd solution region for on II In problem 2, explain why A=G=0₁arrow_forwardProve that the Relburing operaturs are Hermitian: a) Px b) Lyarrow_forwardUse a proof by contradiction to show that for all integers n, n² – 2 is not divisible by 4.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning