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
Question
Chapter 38, Problem 14Q
To determine
Whether the probability of finding a particle in a rigid box is zero at points where the wave function for a particle is zero and to check if it means the particle cannot pass these points.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
For a particle in a box, what would the probability distribution function Ic I2 look like if the particle behaved like a classical (Newtonian) particle? Do the actual probability distributions approach this classical form when n is very large? Explain.
A particle is described one-dimensionally on the real x axis, whose wave function is shown below, where L is a problem parameter (L > 0) and c is a real number.I) Determine the probability density function of this particle. Sketch a chart of it.II) Determine the constant c as a function of the parameter L.III) Calculate the probability of finding the particle in the region 0 ≤ x ≤ L.(With X=5 and Y=3)
Q3. Consider an infinite potential well of width d. In transitions between neighboring
values of
n, particles of mass that is in a position state as:
2πχ
sin
e-iwit
d
TX
f(x. t) =
-e-iwot +
sin
(a) Proof that f (x. t) is still normalized for all value of t.
(b) Find the probability distribution P(x.t) = |f(x. t)|²
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
Similar questions
- Suppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?arrow_forwardWhat is the meaning of the expression "expectation value?" Explain.arrow_forwardAn electron with kinetic energy 2.0 MeV encounters a potential energy barrier of height 16.0 MeV and width 2.00 nm. What is the probability that the electron emerges on the other side of the barrier?arrow_forward
- 1. A particle is confined to the x-axis between x = 0 and x = L. The wave function of the particle is = A sin (2x) + A sin (x) with A E R. a. b. C. Determine A. Determine the probability that the particle is in the interval [0,1]. Determine (x).arrow_forwardWhat is the probability of the particle that in the box with a length of 2 nm is between x = 0.2 and x = 1.0 nm? Ѱ=√(2/L)*sin(nπx/L)arrow_forward7. Consider a particle with normalized wave function S Nxe-/2 if 0arrow_forward1. Suppose you are given a normalized wave function at t=0 for a particle of mass m in an infinite potential well. 1 2 5 TX for 0arrow_forwardcan u solve please?arrow_forward7. Schrödinger's equation A particle of mass m moves under the influence of a potential given by the equation U(x) -W 0 where a is half the width of the potential well. Consider that the energy of the particle. E, is such that -W a = = 2m(E + W) h² 2mE h²arrow_forwardThe electron moves in an infinitely deep. potential well with a width of l=0.15 nm. a) Calculate the minimum (i.e. ground state) speed of the electron. V₁=? b) Calculate the reaction force that the electron causes when it moves back and forth and collides with the other wall of the well adiabatically (thermally insulated). F=? c) Calculate the frequency of the electron's back and forth motion. f=?arrow_forwardQ3. Consider an infinite potential well of width d. In transitions between neighboring values of n, particles of mass that is in a position state as: 2nx f(x.t) = e-iwot + -iwit sin d (a) Proof that f(x.t) is still normalized for all value of t. (b) Find the probability distribution P(x. t) = \f(x.t)[²arrow_forwardThe ground state wave function for a particle confined to a one-dimensional box of width L is W(x)= What is the probability of finding the particle in the central third of the box, L/3arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax