Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 17P
(a)
To determine
The proof that function
(b)
To determine
The proof that conservation of energy gives the result
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
[QUANTUM PHYSICS]
(a) Show that the linear combination
‚E2
P(x, t) = 4; (x)e¯ +¥½(x)e¬l*t
is a solution of the time-dependent Schrödinger equation, provided that the
function W1 (x) and 2(x) are solutions of the time-independent
Schrödinger equation with E = E, and E
E2, respectively.
(1) For the helium-neon laser, estimate the Doppler broadening of the output wavelength 632.8 nm at T= 293 K. (2) Estimate the broadening of the same wavelength due to the Heisenberg uncertainty principle, assuming that the metastable state has a lifetime of about 1 ms.
Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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
- post |Consider a system which is in the state, Y(0,4) =Y,"(0,ø)+ J¿r,"(0,ø)+Y'(0,$), where Y," (0,4) are the spherical harmonics. If Î, is measured what possible values can be obtained? (a) –ħ,0,ħ (b) +ħ‚2ħ,-ħ (c) +ħ,3ħ,-ħ (d) +ħ,-ħ (е) 3h, 2harrow_forwardThe wavefunction ψ[x] = A x^2 e^(- x/x0) where x0 is a constant, is defined in the region, 0 ≤ x ≤ ∞.(a) Determine the normalization constant, A(b) Using the definition Δx = (⟨x^2⟩ -⟨x⟩^2)^.5 determine Δx(c) Using the momentum operator -(ⅈ (h/2pi))(∂/∂x)determine ⟨p⟩ and ⟨p^2⟩(d) Determine Δp from the results obtained in (c) and evaluate Δx Δparrow_forwardIt's a quantum mechanics question.arrow_forward
- You 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_forward1arrow_forward(a) Calculate: (i) the energy spacing AE between the ground state and the first excited state of the hydrogen atom; (ii) and the ratio AE/E between the spacing and the ground state energy. (b) Consider now a macroscopic system: a simple pendulum which consists of a 5 g mass attached to a 2 m long, massless and inextensible string. Calculate (i) the total energy E1 of the pendulum when the string makes an angle of 60° with the vertical; (ii) the frequeney of the pendulum's small oscillations and the energy AE of one quantum; and (iii) the ratio AE/E1. (c) Examine the sizes of the ratio AE/E1 calculated in parts (a) and (b) and comment on the importance of the quantum effects for the hydrogen atom and the pendulum.arrow_forward
- 1) Consider a trial wavefunction $(r) = N e-r for the estimation of the ground state energy of the hydrogen atom. (a) Calculate the variational energy W[ø] using the trial wavefunction 6(r). (b) To obtain the best result (that is, the one that is closest to the true ground state energy) minimize your result with respect to the parameter b. (c) How does your result in (b) compare with E1, the ground state of the hydrogen atom. Explain.arrow_forward(a) Let n = a + ib be a complex number, where a and b are real (positive or negative) numbers. Show that the product nn* is always a positive real number. (b) Let m = c + id be another complex number. Show that |nm| = |n| |m|.arrow_forwardA quantum system described by a Hamiltonian Ĥ is in the state | 1/2(191) - 1/21/2) + √/15 Φι √2 14/) N = (1 +21) 19:3) + √ēlga)]. where [on) are the eigenstates of energy such that Ĥ|ón) = nEo|ón), Eo has units of energy, and NER. (a) Find a suitable scalar N such that |) is normalized. (b) Let the energy of y) be measured. Give all possible measurement results and their corresponding probabilities. Assume that the measurement is ideal, i.e., no measurement errors occur.arrow_forward
- (a) What is the separation in energy between the lowest two energy levels for a container 20 cm on a side containing argon atoms? Assume, for simplicity, that the argon atoms are trapped in a one-dimensional well 20 cm wide. The molar mass of argon is 39.9 g/mol. (b) At 300 K, to the nearest power of ten, what is the ratio of the thermal energy of the atoms to this energy separation? (c) At what temperature does the thermal energy equal the energy separation?arrow_forwardAn atom with 2 neutrons, 1 proton, 1 electron, is in its ground state when one of its neutrons undergoes a nuclear decay β (n → p + e + ν). The produced electron is fired at high speed, while the proton remains confined in the nucleus, forming a Helium nucleus with the original electronspinning around him. Find the probability that the ion resulting from He + is in the state 1S.arrow_forwardConsider a particle of mass m confined in a three-dimensional cube of length L so small that the motion of the particle is relativistic. Obtain an expression for the allowable energies of the particle in this case. Calculate the ground state energy for an electron if L = 10 fm (10 ^ -5 nm, a typical nuclear dimension)arrow_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 LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning