![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 35P
To determine
The normalization constant.
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
Let's consider a harmonic oscillator. The total energy of
this oscillator is given by E=(p²/2m) +(½)kx?.
A) For constant energy E, graph the energies in the
range E to E + dE, the allowed region in the classical
phase space (p-x plane) of the oscillator.
B) For k = 6.0 N / m, m = 3.0 kg and the maximum
amplitude of the oscillator xmax =2.3 m For the
region with energies equal to or less than E, the
oscillator number of states that can be entered D(E).
40. The first excited state of the harmonic oscillator has a
wave function of the form y(x) = Axe-ax². (a) Follow the
A O, molecule oscillates with a frequency of 4.7 x1013 Hz.
(a) What is the difference in energy in ev between allowed oscillator states?
ev
(b) what is the approximate value of n for a state having an energy of 1.4 eV? (Give your answer to the nearest integer.)
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
- Verify that for a harmonic oscillator, average potential energy <V> < E - for the quantum number (a) v=0 and (b) v=1. Here use ħ=1, m=1, k=1. Before averaging, do not forget to normalize the wave function, i.e. to specify the normalization constant. Also obtain <T> and the <T>/<V> ratio for each case.arrow_forwardThe radial function of a particle in a central potential is give by wave [ - r R(r) = A-exp where A is the normalization constant and a is positive constant еxp а 2a of suitable dimensions. If ya is the most probable distance of the particle from the force center, the value of y isarrow_forwardThe spherical symmetric potential in which a particle is moving is V(r)=Br^5, where ßis a positive constant. what is the relationship between the expectation value of kinetic andpotential energy of particle in stationary state is,arrow_forward
- A quantum gate U performs the following mapping on the Z-basis (standard/computational basis) states: (a) (b) BE 2√3 Joy 2√3 1). 2√3 2√3 Find the matrix representation of U in Z-basis and show that U is a valid quantum gate. Evaluate HUH|0).arrow_forwardProblem 2. Consider the double delta-function potential V(x) = a[8(x + a) + 8(x − a)], where a and a are positive constants. (a) Sketch this potential. (b) How many bound states does it possess? Find the allowed energies, for a = ħ²/ma and for a = ħ²/4ma, and sketch the wave functions.arrow_forwardThe Morse oscillator modeling a different diatomic molecule has D = 384 kJ/mole and hw = 1240 cm-¹. (Again, 11.9627 J/mole = 1 cm ¹.) ✓ нал (a) What is the energy of the pictured eigenfunction? Report the energy in cm¹ above the minimum in the potential well. (b) How close to the dissociation limit is this state in kJ/mole, that is, what is the energy difference between this state and molecular dissociation?arrow_forward
- A) An atom has two electronic levels of energy 0 and ɛ. Suppose the atom is in thermal equilibrium with a heat bath at temperature T. What ensemble should be used for this atom? Calculate the partition function Z, the average energy E, and the Helmholtz free energy F for this atom in the canonical encapsulation. Find the probabilities of each microstate of the atom.arrow_forwardQ#1 Verify Divergence Theorem for F =xi + j + yzk, taken over the cube bounded by x= 0, x = 1, y = 0, y = 1, z = 0, z = 1.arrow_forwardA quantum mechanical particle is confined to a one-dimensional infinite potential well described by the function V(x) = 0 in the region 0 < x < L, V(x) = ∞ elsewhere. The normalised eigenfunctions for a particle moving in this potential are: Yn(x) = √ 2 Nπ sin -X L L where n = 1, 2, 3, .. a) Write down the expression for the corresponding probability density function. Sketch the shape of this function for a particle in the ground state (n = 1). b) Annotate your sketch to show the probability density function for a classical particle moving at constant speed in the well. Give a short justification for the shape of your sketch. c) Briefly describe, with the aid of a sketch or otherwise, the way in which the quantum and the classical probability density functions are consistent with the correspondence principle for large values of n.arrow_forward
- I only need help with problem 4. The answer is E = 86 meV 1. For a potential barrier with V(x) = 0 for |x| > a/2, and V(x) = 0.3 eV for |x| < a/2, 4. Consider the potential barrier discussed in problem 1. Suppose that there are two of these barriers forming a double‐barrier structure. If they are separated by 5 nm, what are the resonant energy level(s) in the well?arrow_forwardFor the function f(z) = 2+2 of complex variable z, which of the following statements is incorrect? z2-2z Select one: Oa. z=0 is a simple pole with residue -1 Ob. z=2 is a simple pole with residue 2 ○ c. Both the first two options are correct O d. None of the first two options are correctarrow_forwardLike a harmonic oscillator with a force constant of 1550 N/m of the nitrogen oxide molecule suppose you behave. The energy of the second excited vibrating state (in eV) Find.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781111794378/9781111794378_smallCoverImage.gif)
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning