Exam (elaborations)
PHY- Exam Paper
- Course
- Institution
PHY- Quantum Mechanics Examination Paper
[Show more]
Seller
Follow
tombowen43
Content preview
The Handbook of Mathematics, Physics andAstronomy Data is provided
KEELE UNIVERSITY
EXAMINATIONS, 2016/17
Level II (FHEQ Level 5)
Monday 9th JANUARY 2017, 09:15 – 11:15
PHYSICS/ASTROPHYSICS
PHY-20006
QUANTUM MECHANICS
Candidates should attempt ALL of PART A
and TWO questions from PART B.
PART A yields 40% of the marks, PART B yields 60%.
A sheet of useful formulae can be found on page 9.
NOT TO BE REMOVED FROM THE EXAMINATION HALL
PHY-20006 Page 1 of 9
, PART A Answer all TEN questions
A1 A particle is described by a wave function, Ψ(r, φ, z, t) in cylindrical
polar coordinates. Give an expression for the probability of observ-
ing the particle within a distance R from the z axis. [4]
A2 The solutions of the time-independent Schrödinger equation for a
particle in a ring have the form
1
ψ(θ) = √ eikθ .
2π
What are the allowed values of k? Justify your answer.
(Hint: consider the value of this function at θ + 2π.) [4]
A3 Calculate the value of A that normalizes the following solution of
the time-independent Schrödinger equation.
0 x ≤ −1
ψ(x) = A(1 − x2 ) −1 < x < 1
0 x≥1
[4]
/Cont’d
PHY-20006 Page 2 of 9
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller tombowen43. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.67. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67474 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now