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 2.2, Problem 2.7P
(a)
To determine
Sketch
(b)
To determine
The function
(c)
To determine
The probability of measurement of the energy would yield the value of
(d)
To determine
The expectation value of energy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A wave function of a particle with mass m is given by,
Acosaz -Ist, where a = 1.00 × 100/m.
(z) ={0
otherwise
Find the normalization constant A.
Harmonic oscillator eigenstates have the general form
1 μω ,1/4
μω
AG)(√(-)
n
ħ
In this formula, which part determines the number of nodes in the harmonic oscillator state?
=
y (x)
1
√(™
ћn
2"n!
Holev
1/4
μω
1
2"n!
exp(-1022²)
2ħ
μω
ħ
2"n!
exp
μω χ
2ħ
2
A particle is confined within a three-dimensional cubical box of side L. Determine the
L
probability of finding the particle somewhere in the region between y = 0 and y =-
for
4
the particle in the ground state.
(a) 0.0813
(b) 0.250
(c) 0.182
(d) 0.0908
Chapter 2 Solutions
Introduction To Quantum Mechanics
Ch. 2.1 - Prob. 2.1PCh. 2.1 - Prob. 2.2PCh. 2.2 - Prob. 2.3PCh. 2.2 - Prob. 2.4PCh. 2.2 - Prob. 2.5PCh. 2.2 - Prob. 2.6PCh. 2.2 - Prob. 2.7PCh. 2.2 - Prob. 2.8PCh. 2.2 - Prob. 2.9PCh. 2.3 - Prob. 2.10P
Ch. 2.3 - Prob. 2.11PCh. 2.3 - Prob. 2.12PCh. 2.3 - Prob. 2.13PCh. 2.3 - Prob. 2.14PCh. 2.3 - Prob. 2.15PCh. 2.3 - Prob. 2.16PCh. 2.4 - Prob. 2.17PCh. 2.4 - Prob. 2.18PCh. 2.4 - Prob. 2.19PCh. 2.4 - Prob. 2.20PCh. 2.4 - Prob. 2.21PCh. 2.5 - Prob. 2.22PCh. 2.5 - Prob. 2.23PCh. 2.5 - Prob. 2.24PCh. 2.5 - Prob. 2.25PCh. 2.5 - Prob. 2.26PCh. 2.5 - Prob. 2.27PCh. 2.5 - Prob. 2.28PCh. 2.6 - Prob. 2.29PCh. 2.6 - Prob. 2.30PCh. 2.6 - Prob. 2.31PCh. 2.6 - Prob. 2.32PCh. 2.6 - Prob. 2.34PCh. 2.6 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Prob. 2.41PCh. 2 - Prob. 2.42PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Prob. 2.58PCh. 2 - Prob. 2.63PCh. 2 - Prob. 2.64P
Knowledge Booster
Similar questions
- Normalize the wave function 4(x) = [Nr2(L−x) 0arrow_forwardConsider a particle lies in the ground state of 1D box in the region from z = -2L to z = +2L. Find the energy eigen value of the particle for the wavefunction (z) = Acos()- Here, A is normalization constant. Select the correct option: (a) E= 32mL² (b) E = (c) E = (d) E= 16m12 8mL² ²² 64m12arrow_forwardA particle is trapped in an infinite one-dimensional well of width L. If the particle is in its ground state, evaluate the probability to find the particle (a) between x = x = L/3; (b) between x = L/3 and x = x = 2L/3 and x = L. O and 2L/3; (c) between %3Darrow_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_forwardAn electron is confined to a three-dimensional infinite cubic well with side length L = 0.200 nm. The ground state is non-degenerate, while the first excited state is 3-fold degenerate. What is the energy of the lowest energy non-degenerate excited state?arrow_forwardThe eigenfunctions satisfy the condition a | Pi (x)m(x)dx = Snm , Snm = 1 if n = m,otherwise Snm = 0 This is a statement that the eigenfunctions are Symmetric Solution to the Schrodinger equation Orthonormal Boundedarrow_forwardAn electron is trapped inside an infinite spherical well {+infinity, r>a0,r<a Using tge radial schrodinger equation, determine the bound region and tge corresponding normalized radial wavefuncfion for the case where the orbital angular momentum of tge wlectron is zero (ie. L=0)arrow_forwardA particle is in the ground state of an infinite square-well potential. The probability of finding the particle in Ax = 0.01L at x = L/4 isarrow_forwardConsider a particle in a one-dimensional infinite square well with width a, centered at a/2. The normalized energy eigenstate wave functions are Vn(x) with energies En(n-1 is the ground state). The particle starts in a state given by (x,r=0)= sqrt(4/5)w1(x)+sqrt(1/5) w2(x). Assume the particle has been re-prepared in state v3(x). You then make a position measurement with high accuracy. After this position measurement, you immediately re-measure the energy. At this point, what value(s) could you get for the energy of the particle? A. E2 B. E3 C. E2 or E3 D. Any En E. Any continuous E O A B C OEarrow_forwardAn electron m= 9.109*10^-31 kg) is confined in a one-dimensional infinite square well of width = 10 Determine the energy for ground statearrow_forwardA particle of mass m is placed in a finite spherical well: - Vo. if r a. Find the ground state, by solving the radial equation with 1 = 0. Show that there is no bound state if Voa? < n²h²/8m.arrow_forwardA particle with mass 6.65×1027 kg is confined to an infinite square well of width L. The energy of the third level is 2.00×1024 J. Calculate the value of L.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
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax