12. A particle is confined to a one-dimensional box of length L having infinitely high walls and is in its lowest quantum state. Calculate (x), (x²), (p), and (p²). Use the definition of the uncertainty oa of measurement A to verify the Heisenberg uncertainty principle for these two observables.
12. A particle is confined to a one-dimensional box of length L having infinitely high walls and is in its lowest quantum state. Calculate (x), (x²), (p), and (p²). Use the definition of the uncertainty oa of measurement A to verify the Heisenberg uncertainty principle for these two observables.
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 61AP: A particle of mass m is placed in a three-dimensional rectangular box with edge lengths 2L, L, and...
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![12.
A particle is confined to a one-dimensional box of length L having infinitely high walls and
is in its lowest quantum state. Calculate (x), (x²), (p), and (p²). Use the definition of the
uncertainty oa Of measurement A to verify the Heisenberg uncertainty principle for these two
observables.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716fa70c-e91b-42cf-ab3f-07510bfcd13a%2F816f0f19-91de-4ad5-82ef-7015bdd2c8f6%2Fkxbm56_processed.png&w=3840&q=75)
Transcribed Image Text:12.
A particle is confined to a one-dimensional box of length L having infinitely high walls and
is in its lowest quantum state. Calculate (x), (x²), (p), and (p²). Use the definition of the
uncertainty oa Of measurement A to verify the Heisenberg uncertainty principle for these two
observables.
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