Particle in a Box for State Particle
Not what you're looking for?
Consider a particle of mass m in a box of length a. Assume the state of the particle at time t=0 is:
Where are the particle in a box stationary states with energy
a. What is the probability a measurement of the energy will result in
b. What is the expectation (average) value for the energy (<E>) in the state ?
c. What is the probability a single measurement will yield the value E=<E>?
d. Write down an expression for the time-dependent wavefunction for this state, , in terms of the mass of the particle and the length of the box?
Purchase this Solution
Solution Summary
The expert examines the concepts of particle in a box for state particles.
Solution Preview
Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.
The eigenfunctions of the one dimensional particle in a box are orthonormal:
(1.1)
The associated energies are:
(1.2)
To measure certain energy the system must be in ...
Purchase this Solution
Free BrainMass Quizzes
Thermochemistry
The quiz helps in revising basic concepts about thermochemistry.
General Chemistry - Classification of Matter
This test will assess your knowledge on the classification of matter which includes elements, compounds and mixtures.
Organic Chemistry Naming: Alkanes
This is a quiz which is designed to assist students with learning the nomenclature used to identify organic compounds. This quiz focuses on the organic compounds called Alkanes.
Match Elements with their Symbols
Elements are provided: choose the matching one- or two-letter symbol for each element.