Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 1P
To determine
The graph that defines the Schrödinger function.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Photos - B4.jpg
A See all photos
+ Add to
* Edit & Create v
IA Share
A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0
Consider a wavefunction e-ax².
a. Determine a value for a by normalizing the wavefunction. a=
b. What is the probability that the particle will be found at a positive value of x?
C.
Determine dx =
a. A particle of mass m moves freely in a one-dimensional box of length 3a. In the same diagram, sketch
the wave function and the squared wave function for the 2nd excited state of the particle and show the
positions at which the nodes occur.
Chapter 6 Solutions
Modern Physics
Ch. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.5 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.8 - Prob. 6ECh. 6 - Prob. 1QCh. 6 - Prob. 2QCh. 6 - Prob. 3QCh. 6 - Prob. 4QCh. 6 - Prob. 5Q
Ch. 6 - Prob. 6QCh. 6 - Prob. 7QCh. 6 - Prob. 8QCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 21PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 37PCh. 6 - Prob. 38P
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
- Physics Department PHYS4101 (Quantum Mechanics) Assignment 2 (Fall 2020) Name & ID#. A three-dimensional harmonic oscillator of mass m has the potential energy 1 1 1 V(x.y.2) = ; mw*x² +mwży² +=mw;z? where w1 = 2w a. Write its general eigenvalues and eigenfunctions b. Determine the eigenvalues and their degeneracies up to the 4th excited state c. The oscillator is initially equally likely found in the ground, first and second excited states and is also equally likely found among the states of the degenerate levels. Calculate the expectation values of the product xyz at time tarrow_forwardProblem : Given the transfer function of a linear lung mechanics model S G(s) s3 + 3s2 + 2s a. Find the full-dimensional (3-D) controllable realization. b. Find a minimal realization. c. Verify the minimal realization is both controllable and observable.arrow_forwardProblem: In the problem of cubical potential box with rigid walls, we have: p² + m? + n? = 9, Write down: 1- Schrödinger equation for the particle inside the box. 2- The possible values of: a- e,m,n. b-Eemn c- Pemn d-degree of degeneracy.arrow_forward
- Consider a particle confined to a 1-dimensional box of length L = 6 nm. A. What is the probability of locating the particle between x = 3 nm and x = 3.2 nm in the ground state? 0.0664235 2.2 n?h? B. Evaluate where Y is the normalized particle in a box wave function. Express your answer in terms of h, m, n, and L. 6ml? C. What is the potential energy operator equal to for PIAB? 1 10 Don't know...arrow_forwardA particle in one dimension (-∞ 0). a. Is the energy spectrum continuous or discrete? Write down an approximate expression for the energy eigenfunction specified by E. Also sketch it crudely. b. Discuss briefly what changes are needed if Vis replaced by V = λ | x |.arrow_forwardQ1. Consider the finite square well potential shown in the following diagram: U(x) E>0 L The potential is given by: for xL| -U. for 0 0is incident on this region from the left. Using the plane A particle with energy wave approximation for the particle: a) Show that Y = Ae*+Be¬k* is a suitable general solution to the time-independent Schrödinger wave-equation (TISE) that applies in the region x L write down the four equations arising from the boundary conditions that apply at x=0 and x=L .arrow_forward
- For Problem 8.9, how do I analyze a 2-dimensional rigid box that is rectangular? The name of the section is, "The 2-dimensional square box." This is a quantum mechanics problem.arrow_forwardQ.4. Imagine that a particle is coming from left with finite energy E and encountered a potential V(x) = Vo (> E) at origin for x20 (as shown below in the figure). Prove that if Vo goes to infinity then wave function goes to zero in the region x 20. IF Vo X-0arrow_forward1. a. For a free particle, write the relations between the wave vector k and itsmomentum vector p and angular frequency ω and its energy E.b. What is the general form in one dimension of the wave function for a freeparticle of mass m and momentum p?c. Can this wave function ever be entirely real? If so, show how this ispossible. If not, explain why not.d. What can you say about the integral of the |Ψ (x; t)|^2 from - ∞ to + ∞ ?e. Is this a possible wave function for a real, physical particle? Explain whyor why not.arrow_forward
- n=2 35 L FIGURE 1.0 1. FIGURE 1.0 shows a particle of mass m moves in x-axis with the following potential: V(x) = { 0, for 0arrow_forwardSuppose a particle of mass m is in a region where its potential energy varies as ax4, where a is a constant. Write down the corresponding Schrödinger equation. Do not evaluate or solve... just write the equation.arrow_forwardA particle of mass m moves in a potential V(x)=kx²/2. a. If the particle has energy E, determine the range of x in which a classical particle can move. b. Determine the probability of finding the particle outside of the classical limits for the ground state. Assume that the ground state wavefunction is (x) and you can leave your answer in terms of a definite integral.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
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning