Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 35, Problem 19P
(a)
To determine
The quantum numbers that correspond to the ten lowest energy quantum states of the box.
(b)
To determine
The degeneracy in the energy states.
(c)
To determine
The wave function for fourth excited state.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Imagine a laser medium behaves as a three-level system and the population inversion between states 2 and 3. The pump excites the atoms to the states 3 and 2 at a pump rate R3 and R2, respectively. State 3 decays back to 2 so slow. Use the lineshape function to find an expression of the small-signal gain coefficient.
Q1: Consider the ideal laser medium behaves as a four-level system and the population inversion between states 2 and
3. The pump excites the atoms to states 3 and 2 at a rate pumping R3 and R₂, respectively. State 4 decays back to 3
so fast. What is the pump rate in the absence of the saturating beam and no oscillation on the state 3? Assume that
the degeneracies in all states are different.
Use all four quantum numbers (?, ?, ?? , ?? ) to write down all possible sets of quantum numbers for 4? state of atomic hydrogen. What is the total degeneracy?
Chapter 35 Solutions
Physics for Scientists and Engineers
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
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
- Q: consider ideal laser medium, The population inversion between stit 1 and 2. state & decay so fast, whit is pump rate on state 2- Assume that the degenericies in all state are different.arrow_forwardIs it possible to reverse the Boltzmann population? What is the usefulness of such a condition? Explain why 4 state laser is more useful than 3 state lasers?arrow_forwardThe r - meson has a charge of -e, a spin quantum number of 1, and a mass 1 507 times that of the electron. If the electrons in atoms were replaced by r - mesons, list the possible sets of quantum numbers for r - mesons in the 3d subshell.arrow_forward
- A spin half particle is prepared in the spin state |S) = 2|+) + (1 + V3i)l-). where |S) = |S - n = th). What is the component în of spin of the particle which is known to be th?arrow_forwardComparisons of the energy differences between two states with that predicted by theory can test the theoretical model. For the case of the muon g-value, there's a small discrepancy between it and the Standard Model of particle physics. We can see atomic transitions in cesium in atomic clocks. We can measure the frequency by applying pulses at frequencies to observe the resonance (see the provided equation, Rabi's formula). Consider a spin-1/2 particle that precesses in a magnetic field in the z direction. The probability of the particle being spin up or spin down along z doesn’t vary with time. The states |+z> and |—z> are stationary states of the Hamiltonian H-hat = ω0 S-hatz. If we alter the Hamiltonian by applying in addition an oscillating magnetic field transverse to the z axis, we can induce transitions between these two states by properly adjusting the frequency of this transverse field. The energy difference E+—E_ = h-bar ω0 can then be measured with high accuracy. This…arrow_forwardIn the PIB model what imposes quantization? Explain. (hint – consider the boundary conditions.)arrow_forward
- Consider an Ar atom trapped in square box with length 1 m. Assume that the energy of the Ar atom is equal to thermal energy: 3kBT/2 at 250C.a) Use the model of a particle in a box and assume the particle is at the state: n = nx = ny = nz, calculate n of the above system. b) What is the energy separation between the states (n, n, n) and (n + 1, n, n).arrow_forwardSome spin 0 particle has a wavefunction given by: Y(F) sin? 0 |1 + V14 cos 0 cos 20 R(r) where the variables {r, 0, q} are the usual coordinates for spherical coordinates. Note that dr r² |R(r)|? measured for the total orbital angular momentum, L? , and the probabilities for each of these measurements? Hint: Similar to a previous homework problem, the trick is to rewrite this equation in terms of the eigenfunctions of the angular momentum operator. In particular, you will have to look up what the spherical harmonics are! = 1. What are the possible values that can bearrow_forwardWrite an expression for the total number of states with orbital angular momentum l.arrow_forward
- Assume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of width 10.0 fm. (a) What are the energies of the proton when it is in the states corresponding to n=1,n=2, and n=3? (b) What are the energies of the photons emitted when the proton makes the transitions from the first and second excited states to the ground state?arrow_forwardThe following passage of four paragraphs contains a number of errors (somewhere between 5 and 10). Rewrite this passage, correcting any errors that are contained there. It should be possible to do this by replacing just one word within a sentence with another. A pulse of radio waves is used to excite some of the protons from their lower to higher energy spin states until there is the same number in each. At the end of the pulse when the radio frequency radiation is removed, the proton spins gradually return to their original population distribution within the two states. This is called resonance. Radio waves are re-emitted and these are detected by the same coils that were used to generate the original pulse. The frequency of the radio waves received from different parts of the body is mapped out into an array of tiny blocks known as voxels. Each voxel is assigned a level of grey-scale brightness on an image corresponding to the signal strength, allowing detailed cross-sections of…arrow_forwardSin Q2 // A sample of a certain element is placed in a uniform magnetic field of intensity (0.3 T), what are the intervals between the simple Zeeman lines of the spectral line whose wavelength is 4500 Inchrestom? Earrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning