PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 34, Problem 8P
To determine
Whether the probability density function is zero for any value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
radial function of the figure
a) r value at which the probability density is maximum.
b) Find <r>, <r2> and <1 / r>.
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.
Which of the following is/are correct for the equation y(x) dx defined for a particle
whose state function is y(x)
(11)
(iii)
This equation gives the probability of the particle with the range x to X₂.
This equation applies to the particle moving in any dimension.
This equation defines relation between the state function and the probability
with the range x; to x₂-
(a) Only (1)
(b) (ii) and (iii)
(c) (i) and (iii)
(d) (i) and (ii)
Chapter 34 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 34 - Prob. 1PCh. 34 - Prob. 2PCh. 34 - Prob. 3PCh. 34 - Prob. 4PCh. 34 - Prob. 5PCh. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Prob. 8PCh. 34 - Prob. 9PCh. 34 - Prob. 10P
Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - Prob. 13PCh. 34 - Prob. 14PCh. 34 - Prob. 15PCh. 34 - Prob. 16PCh. 34 - Prob. 17PCh. 34 - Prob. 18PCh. 34 - Prob. 19PCh. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - Prob. 22PCh. 34 - Prob. 23PCh. 34 - Prob. 24PCh. 34 - Prob. 25PCh. 34 - Prob. 26PCh. 34 - Prob. 27PCh. 34 - Prob. 28PCh. 34 - Prob. 29PCh. 34 - Prob. 30PCh. 34 - Prob. 31PCh. 34 - Prob. 32PCh. 34 - Prob. 33PCh. 34 - Prob. 34PCh. 34 - Prob. 35PCh. 34 - Prob. 36PCh. 34 - Prob. 37PCh. 34 - Prob. 38PCh. 34 - Prob. 39PCh. 34 - Prob. 40PCh. 34 - Prob. 41PCh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Prob. 44PCh. 34 - Prob. 45PCh. 34 - Prob. 46PCh. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54PCh. 34 - Prob. 55PCh. 34 - Prob. 56PCh. 34 - Prob. 57PCh. 34 - Prob. 58PCh. 34 - Prob. 59PCh. 34 - Prob. 60PCh. 34 - Prob. 61PCh. 34 - Prob. 62PCh. 34 - Prob. 63PCh. 34 - Prob. 64PCh. 34 - Prob. 65PCh. 34 - Prob. 66PCh. 34 - Prob. 67PCh. 34 - Prob. 68PCh. 34 - Prob. 69PCh. 34 - Prob. 70PCh. 34 - Prob. 71PCh. 34 - Prob. 72PCh. 34 - Prob. 73P
Knowledge Booster
Similar questions
- A particle is confined to the region 0arrow_forwardA particle is confined in an infinite potential well. If the width of the well is a, what is the probability to find the particle in the first quarter of the well? 1 1 sin Ttn 6 1 O 2 2n t 1 1 Ttn sin O 8 1 1 -sin 2n Tt 4arrow_forwardFor a particle in a one-dimensional box, calculate the probability of the particle to exists between the length of 0.30L and 0.70L if n = 5.arrow_forwardThe creation of elements in the early universe and in stars involves protons tunneling through nuclei. Find the probability of the proton tunneling through 12C when the temperature of the star containing the proton and carbon is 12,000 Karrow_forwardA particle has the time-independent wave function Aebz x 0 where b is known but arbitrary. Calculate the value of A that normalizes the probability associated with the wave function.arrow_forward(a) Use the standard definition of the average value of a random variable given its probability density function: = 10 x p₁(x) -∞ (9) to find average position of the wave-particle for each stationary state. Recall that pn = Un is the probability density associated with the stationary state n = 1,2,... for the particle in a box. Also, n(x, t) is only defined for x = (0, L). Hint: the result is the same for all stationary states. That is, it does not depend on n. n= dx.arrow_forward4. A simple model of a radioactive nuclear decay assumes that alpha particles are trapped inside a nuclear potential well. An alpha particle is a particle made out of two protons and two neutrons and has a mass of 3.73 GeV/c². The nuclear potential can be modeled as a pair of barriers each with a width of 2.0 fm and a height of 30.0 MeV. Find the probability for an alpha particle to tunnel across one of the potential barriers if it has a kinetic energy of 20.0 MeV.arrow_forwardGiven: For sake of simplicity, let us consider a particle with mass, m, in one dimension trapped in an infinite square well potential. The bottom of the potential well has zero potential energy, and the particle is known to be confined between 0arrow_forwardA particle of mass m is contained in a one-dimensional infinite well extending from L to x=- 2 L The particle is in its ground state given by ø.(x)= /2/L cos(zx/L). X = - The walls of the box are moved suddenly to form a box extending from x = -L to x= L. what is the probability that the particle will be in the ground state after this sudden expansion?arrow_forwardAsap plzarrow_forwardFor a quantum particle described by a wave function (x), the expectation value of a physical quantity f(x) associated with the particle is defined by For a particle in an infinitely deep one-dimensional box extending from x = 0 to x = L, show that L 2n°7arrow_forwardA 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)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning