Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 35, Problem 32P
To determine
The expression for the normalization constant.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
As a 1-dimensional problem, you have Schrodinger's equation, given by:
-h? a2
a
ih
h 4(x, t) =
at
2m Əx² ¥(x,t) + V(x) Þ(x,t)
Suppose for a specific V(x) and certain boundary conditions, the function w, (x, t) is a solution to the above
equation and 42 (x, t) is also a solution. Show that (x, t)
equation, where a, b are complex numbers.
a 41 (x, t) + b w2(x, t) also solves the above
The 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 is
40. The first excited state of the harmonic oscillator has a
wave function of the form y(x) = Axe-ax². (a) Follow the
Chapter 35 Solutions
Essential University Physics (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
Knowledge Booster
Similar questions
- is this right?arrow_forwardA particle of mass m moves in a one-dimensional box of length l with the potential V = 00, Il. At a certain instant, say t 0, the wave function of this particle is %3D known to have the form V = V30/15 x (1 – x), 0 0) as a series, and expressions for the coefficients in the series.arrow_forwardU = U, %3D U = 0 X = 0 A potential step U(x) is defined by U(x) = 0 for x 0 If an electron beam of energy E > U, is approaching from the left, write the form of the wave function in region I (x 0) in terms of the electron mass m, energy E, and potential energy U,. Do not bother to determine the constant coefficients. Formulas.pdf (Click here-->) Edit Vicw Insert Format Tools Table 12pt v Paragraph BIU Av eu T? varrow_forward
- Start by defining 1(1) = N1 sin(7r/a) (1) b2(x) = N2 sin(2ñr/a) (2) for the infinite square well. Fix N1 and N2 so that %3D 2) You should find that p(r) is periodic in time. That is p(x, t + T) = p(x,t). Find that T, and draw p(x) for at t = 0, t = T/4, t = T/2, and T = 3T/4.arrow_forwardSubject:MMParrow_forwardLet'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).arrow_forward
- The wave function for the simple harmonic oscillator is vo(x) = Coe normalization constant, Co. Find the [Hint: [° e-kx dx = 4 2hn А. 4 ma С. D. Vmw. OA. О в Oc. OD. B.arrow_forwardI need the answer as soon as possiblearrow_forwardA 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_forward
- Given that at time t = 0 a particle’s wave function is given by ψ(x, 0) =Ax/a, if 0 ≤ x ≤ a,A(b − x)/(b − a), if a ≤ x ≤ b, with A0, Otherwise.a and b as constants, answer the following questions; a) Find the normalization constant A in terms of the constants a and b. b) Sketch ψ(x, 0) as a function of x. c) Where is the particle most likely to be found at time t = 0? d) What is the probability of finding the particle to the left of a?arrow_forwardA rigid body with moment of inertia of I; rotates freely in the r-y plane. Let ø be the angle between the r-axis and the rotator axis. (a) Find the energy eigenvalues and the corresponding eigenfunctions. (b) At timet = A sin? d. Find ý(t) for t > 0. 0 the rotator is described by a wave packet v(0) = %3Darrow_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning