Answered: In the region 0 ≤ x ≤a, a particle is… | bartleby

Related questions

Question

In the region 0 < x < a, a particle is described by the wave
function y₁(x) = -b(x² - a²). In the region a≤ x ≤w,
its wave function is y2(x) = (x-d)² - c. For x≥w,
¥3(x) = 0. (a) By applying the continuity conditions at
x= a, find c and d in terms of a and b. (b) Find w in terms
of a and b.

Expert Solution

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

The particle is confined to a one-dimensional box between x=0 and x=2. Its wave function is A(x)=6x2/N (0≤x≤1) and A(x)=6/N (1<x≤2), where N is a normalization constant. Calculate the constant N and the average position of the particles.
A particle is confined to a one dimensional box with boundaries at x=0 and x-1. The wave function of the particle within the box boundaries is V(x) 2100 (- x + ) and zero V 619 everywhere else. What is the probability of finding the particle between x=0 and x=0.621? Do not enter your final answer as a percentage, but rather a number between 0 and 1. For instance, if you get that the probability is 20%, enter 0.2.
(5) The wave function for a particle is given by: (x) = Ae-=/L for r 2 0, where A and L are constants, and L > 0. b(x) = 0 for r < 0. (a) Find the value of the constant A, as a function of L. A useful integral is: fe-K=dx = -ke-K, %3D where K is a constant. (b) What is the probability of finding the particle in the range –10 L < x< -L? (c) What is the probability of finding the particle in the range 0
Given a Gaussian wave function: Y(x) = (1/a)-1/4e-ax²/2 Where a is a positive constant 1) Find the normalization (if the wave function is not normalized) 2) Determine the mean value of the position x of the particle : x 3) Determine the mean value of x? : x? 4) Determine the value of Ax = /(x²) – (x)²
The expectation value of a function f(x), denoted by (f(x)), is given by (f(x)) = f(x)\(x)|³dx +00 Yn(x) = where (x) is the normalised wave function. A one-dimensional box is on the x-axis in the region of 0 ≤ x ≤ L. The normalised wave functions for a particle in the box are given by -sin -8 Calculate (x) and (x²) for a particle in the nth state. n = 1, 2, 3, ....
Determine the expectation values of the position (x) (p) and the momentum 4 ħ (x)= cos cot,(p): 5V2mw 4 mah 5V 2 sin cot 2 ħ moon (x)= sin cot, (p)= COS at 52mo 2 4 h 4 moh (x)= 52mo sin cot.(p) COS 2 h s cot, (p) 5V2mco 2 moh 5V 2 sin of as a function of time for a harmonic oscillator with its initial state ())))