Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
5th Edition
ISBN: 9780137504299
Author: Douglas C. Giancoli
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 16Q
To determine
The explanation for an increase in separation between energy states with an increase in
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
i) Consider the anomalous Zeeman pattern of D1 and D2 lines of sodium.
Calculate the frequency of the component of D₁ line corresponding to Am, = +1
where Am, = m - m (Double prime represent lower state).
a) If the electron is in the ground state argue that the expectation value of the electric dipole
(P.) =(qf) must vanish. Do not need to do a calculation.
b) Show that for some of the n=2 states the expectation value (p,)=(qî) does not vanish. Give
one example and proceed to calculate that expectation value.
3. Consider a particle of mass m in the potential
V = = Vo[8(x − a) — 8(x+a)].
Show that there is always a bound state for all nonvanishing a.
Chapter 38 Solutions
Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
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
- 2) The energy levels of a quantum-mechanical, one-dimensional, anharmonic oscillator maybe approximated as 2 =(n * (n + )' En hw ;n = 0,1,2,... (++) = The parameter x, usually « 1, represents the degree of anharmonicity. Show that, to the first order in x and the fourth order in u (= ħw/kgT), the specific heat of a system of N such oscillators is given by C = Nk [(1-u² + *)+ 4x (: + *)]. 240 80 Note that the correction term here increases with temperature.arrow_forwardConsider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ?, 2?, 3?, 4?,5?,6?,.... The assembly has three particles and a total energy of 7?. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermionsarrow_forwardA system of three identical distinguishable particles has energy 3ɛ. The single particle can take discrete energies 0, &, 2, 3ɛ and so on. The average number of particles in the energy state & is 1.2 0.9 0.6 0.3arrow_forward
- Consider a quantum mechanical ideal harmonic oscillator having a zero point energy of 1.4*10^-20J. how much energy could be released if the oscillator makes a transition from n=4 to n=2 states? a)0.69*10^19J b)2.88*10^-20J c)5.76*10^20J d)none are correctarrow_forwardAn electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is, the electron is trapped in a two dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron depend on the quant numbers Nx and Ny, the allowed energies are given by E = H^2/8Me ( Nx^2/ Lx^2 + Ny^2/Ly^2) i) assuming Lx and Ly =L. Find the energies of the lowest for all energy levels of the electron ii) construct an energy level diagram for the electron and determine the energy difference between the second exited state and the ground state?arrow_forward'arrow_forward
- Suppose a system contain four identical particles and five energy levels given by the relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is Er= 6 E. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy (10- Joule) Macroscopic state 4 Er= 6 € 3 Levels 1 E2 E (10-º J) k 1 2 4 5 6 7 N! Wk no! n!n2!n3!n4! Sk = kglnwkarrow_forwardSolid metals can be modeled as a set of uncoupled harmonic oscillators of the same frequency with energy levels given by En = ħwn n = 0, 1, 2,... where the zero-point energy (the lowest energy state) of each oscillator has been adjusted to zero for simplicity. In this model, the harmonic oscillators represent the motions of the metal atoms relative to one another. The frequency of these oscillators is low so that ħw = = 224 KB and the system vibrational partition function is given by 3N Z ² = la₁ - (1 1 e-0/T). (a) If the system contains one mole of atoms, find the average energy (in J) of this system at T= 172 K. (You can use = BkB.) T (b) What is the absolute entropy (in J/K) for this system? You can use either the Gibbs expression for S, or the system partition function to make this evaluation (they are equivalent, as your reading assignment indicates).arrow_forwardAn electron bounces elastically in 1D between two infinite potential walls separated by a distance L. The electron is in its lowest possible energy state. (a) What is the energy of this state? (b) The separation between the walls is slowly (a.k.a. 'adiabatically') increased to 2L. That the process occurs slowly means that the electron slowly adapts to continue to occupy the ground state of this new well of width 2L. What is the change in energy that the electron experiences? (c) With the walls again at a distance of L, imagine now that the separation is abruptly increased from L to 2L. This means that, at the moment when the change is made, the wavefunction is unchanged for a L. Write a (normalized) expression for 1(x) at this very moment, and draw it for the interval x = [0, 2L]. What is the expectation value of the energy for this ₁(a)? I'm calling it 1(a) not (x) to make it clear that it represents the ground state. (d) Show that the above 1(r) is no longer a solution for the…arrow_forward
- A proton is confined in box whose width is d = 750 nm. It is in the n=3 energy state. What is the probability that the proton will be found within a distance of d/n from one of the walls? [Hint: the average value sin^2x over one or more of its cycles is 1/2] PLEASE PLEASE include a sketch of U(x) and Ψ(x)arrow_forwardYou have the energy matrix for only 4x4 elements. Calculate the expected value of energy (E) using the function 1 1 -fox /2 e -3icut 2 [e heo S 0 0 0 2 E= = 5 0 0 e 0 2 0 0 0 Ther 2 J Al Laxities (E) A8l 2 gidd) dasll Cuaal l o |2 l Jiew /2 Vi *[fi“ e 0:‘ 5arrow_forwardWhat would you NOT expect in the limits that the quantum well has infinite width, e.g. quantum confinement goes away? the lowest possible energy will be larger than zero O there will be no wave solution anymore (probability amplitude goes to zero) O energy separation would be zero; and rather than discrete energy levels there will be a continuous energy spectrum O the Correspondence principle will be fulfilledarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning