![Physics for Scientists and Engineers, Vol. 1](https://www.bartleby.com/isbn_cover_images/9781429201322/9781429201322_largeCoverImage.gif)
Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 35, Problem 5P
To determine
The verificationthat energy for first excited state is
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
U = U,
%3D
U = 0
X = 0
A potential step U(x) is defined by
U(x) = 0
for x 0
If an electron beam of energy E > U, is approaching from the left, write the form of the wave function in region I (x 0) in terms of the electron mass m, energy E, and potential energy U,. Do not bother to determine the
constant coefficients.
Formulas.pdf (Click here-->)
Edit Vicw Insert Format Tools Table
12pt v
Paragraph
BIU Av eu T? v
As a 1-dimensional problem, you have Schrodinger's equation, given by:
-h? a2
a
ih
h 4(x, t) =
at
2m Əx² ¥(x,t) + V(x) Þ(x,t)
Suppose for a specific V(x) and certain boundary conditions, the function w, (x, t) is a solution to the above
equation and 42 (x, t) is also a solution. Show that (x, t)
equation, where a, b are complex numbers.
a 41 (x, t) + b w2(x, t) also solves the above
A thin solid barrier in the xy-plane has a 12.6µm diameter circular hole. An electron traveling in
the z-direction with vx
0.00m/s passes through the hole. Afterward, within what range is vx
likely to be?
Chapter 35 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10P
Ch. 35 - Prob. 11PCh. 35 - Prob. 12PCh. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Prob. 20PCh. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38P
Knowledge Booster
Similar questions
- The z-transform of [n] = u[-n] is z where,| z | < 1 Option 7 -Z where, z| < 1 O Option 5arrow_forwardx E I V(x) V₂ X=0 II Q/Solve the Schrödinger equation for regions x0 to calculate the reflection coefficient, R. Where Earrow_forwardConsider the laser shown in the accompanying diagram R = 3m R2 = c0 lgain = 50cm 2 =0.6µm Gain medium r2 = 1.0 Leavity = 75cm = 0.95 (a) Is the cavity stable? Justify your answer (b) What is the minimum gain coefficient of the laser medium to sustain oscillation?arrow_forwardWhich is the Schrodinger equation for a 1D harmonic oscillator: h2 d2 2 m dx2 = Ep h2 d2 2u dx2 + kx2 Jp = Ep 2и dx2 L2 Y(0,4),,m = h² I(I+1) Y(0,$),m d2P O (1-x²) dx2 dP 2x + | |(I+1) dx m2 1-x2 P(x) = 0 Identify the kinetic energy operator: Identify the potential energy operator:arrow_forwardProblem 3. Consider the two example systems from quantum mechanics. First, for a particle in a box of length 1 we have the equation h² d²v 2m dx² EV, with boundary conditions (0) = 0 and (1) = 0. Second, the Quantum Harmonic Oscillator (QHO) V = EV h² d² 2m da² +ka²) 1 +kx² 2 (a) Write down the states for both systems. What are their similarities and differences? (b) Write down the energy eigenvalues for both systems. What are their similarities and differences? (c) Plot the first three states of the QHO along with the potential for the system. (d) Explain why you can observe a particle outside of the "classically allowed region". Hint: you can use any state and compute an integral to determine a probability of a particle being in a given region.arrow_forwardElectron transfer between redox centers in proteins is controlled by quantum tunneling. We can model the region between two redox centers as an energy barrier which the electron must cross. If the distance between the redox centers is 0.752 nm and the energy of the electron is 0.976 eV lower than the height of the barrier, what is the probability that the electron will successfully cross to the next redox center?arrow_forwardSuppose that a charge-transfer transition can be modelled in a one-dimensional system as a process in which an electron described by a Gaussian wavefunction centred on x = 0 and width a makes a transition to another Gaussian wavefunction of width a/2 and centred on x = 0. Evaluate the transition moment ∫Ψf xΨi dx . Hint: Don’t forget to normalize each wavefunction to 1.arrow_forwardHarmonic 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 2arrow_forwardThe position as a function of time x(t) of a simple harmonic oscillator is given by: x(t) = A cos(wt) %3D where A is the amplitude and w is the angular velocity. a) What is the range of possible values of x permitted for this oscillator? b) Derive the probability density function of p(x) for this oscillator. c) Validate that p(x) is normalized.arrow_forward(2nx sin \1.50. 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 2.00. What is the energy of the system? O 6h?/8m O 4h²/8m O 3h2/8m O none are correctarrow_forwardc) How does the classical kinetic energy of the free electron compare in magnitude with the result you obtained in the previous part? Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 →→ 5) was observed at a wavelength of 232 nm. How long is this box in pm?arrow_forwardA nitrogen molecule (N2) vibrates with energy identical to a single particle of mass m = 1.162 x 10-26 kg attached to a spring with a force constant of k = 1500 N/m. Suppose the energy levels of the system are uniformly spaced as shown in the figure below. The lowest energy level is often called the “ground state” and is assigned an integer value n = 1. The next higher energy level is often called the “first excited state” and is assigned an integer value n =2. (1) What is the vibration frequency of this molecule? (2) How much energy is required to excite the molecule from the ground state (n = 1) to the first excited state (n = 2)? (3) How much energy is required to excite the molecule from the first excited state (n = 2) to the state n = 5?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON