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 14P
(a)
To determine
The wave number of the particle.
(b)
To determine
The reflection coefficient.
(c)
To determine
The transmission coefficient.
(c)
To determine
The number of particles expected to continue in direction.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q.18. Verify the statement in the text that, if the phase velocity is the same for all
wavelengths of a certain wave phenomenon (that is, there is no dispersion), the group and
phase velocities are the same?
By considering the integral ∫02π cosmlϕ cosm'lϕ dϕ, where ml≠m'l ,confirm that the wavefunctions cosmlϕ and cosm'lϕ for a particle on a ring are orthogonal.
Legrende polynomials
The amplitude of a stray wave is defined by:
SO) =x
(21+ 1) exp li8,] sen 8, P(cos 8).
INO
Here e is the scattering angle, / is the angular momentum and 6, is the phase shift produced by the
central potential that performs the scattering. The total cross section is:
Show that:
'É4+ 1)sen² 8, .
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
- Q Calculate the velocity of longitudinal and shear elastic waves in a cubical crystal along (111) dire tion.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_forwardConsider a potential barrier represented as follows: U(x) = 0 if x < 0; εx if 0 < x < a; 0 if x > a Determine the transmission coefficient as a function of particle energy.arrow_forward
- The amplitude of a scattered wave is given by 1 S(0) = (21 + 1)exp[id] sin 3i P(cos 0), l=0 where e is the angle of scattering, I is the angular momentum, ik is the incident momentum, and & is the phase shift produced by the central potential that is doing the scattering. The total cross section is oiot = S IS(O)²a2. Show that 47 Otot = FL(21+ 1)sin² § . %3D0arrow_forwardA particle moving in one dimension has the wave function Y(x,t) = Aeli(ax-bt)] %3D where a and b are constants. What is the potential field V(x) in which the particle is moving?arrow_forwardA particle on a ring has the following wave function: Y=1/(2n) e-7iø What is the smallest value of where the first node appear in the imaginary part of the wave function (excluding -0). Give your answer as an angle in units of radians (remember that 1 rad = 57.3 degrees, and 2π rad = 360 degrees).arrow_forward
- Evaluate the equation of continuity of plane wave function Exp i (kx-wt).arrow_forwardConsider a wavefunction defined by: 0 x0L d.√12 5/2 is equal to:arrow_forwardA real wave function is defined on the half-axis: [0≤x≤00) as y(x) = A(x/xo)e-x/xo where xo is a given constant with the dimension of length. a) Plot this function in the dimensionless variables and find the constant A. b) Present the normalized wave function in the dimensional variables. Hint: introduce the dimensionless variables = x/xo and Y(5) = Y(5)/A.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
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning