Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. 1) consider the following example of a quantum mec

1) Consider the following example of a quantum mechanical wavefunction for a particle of mass m...

70.2K

Verified Solution

Question

Physics

1) Consider the following example of a quantum mechanicalwavefunction for a particle of mass m moving in one dimension,where α and A are constants.
?(?, ?) = ?? − ?(?2 + ?ℏ?/?) ,

a) Normalize the wavefunction. Show your work.

b) At what value of x is there equal probability for the particleto be either to the left or to the right of that x? Show your workand explain.

c) For the wavefunction given, what must the potential V (x, t) bein order for Ψ(x, t) to satisfy the Schrodinger equation? Whatclassical system has this kind of potential?

d) Calculate the expectation values of x, x2, p, and p2. Explain inwords what each calculation means (how it is related tomeasurement).

e) Determine ?! and ?\" and check if their product is consistentwith the uncertainty principle.

Answer & Explanation Solved by verified expert
3.7 Ratings (438 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Consider a four-year project with the following information: initial fixed asset investment = $600,000; straight-line depreciation to...

Finance
1.2K views

There are different types of risk involved in foreign exchange. One type of risk is risk...

Basic Math
1.2K views

Based on Exhibit 7 7 what would be the monthly mortgage payments for each of...

Basic Math
1.2K views

Let p, q and r represent the following simple statements:p: I get an A.q: The...

Calculus
1.2K views

An 80 foot rope is attached to a boat 7 feet above the water level...

Calculus
1.2K views

find the characteristic equations of dx/1=dy/-(2+x)=dq/-xe^x+q What is the general solution

Calculus
1.2K views

a What is a sequence A sequence is an ordered list of numbers A sequence...

Calculus
1.2K views

a f 0 e f x b f 3 f f x 3 c f...

Calculus
1.2K views

Find the standard form of the equation of the ellipse with the given characteristics and...

Accounting
1.2K views

Builtrite had sales of $900,000 and COGS of $280,000. In addition, operating expenses were calculated...

Accounting
1.2K views

During 2021, Pokes, Inc. issued bonds at 101 and elected to report them at fair...

Accounting
1.2K views

Use the formula for present value of money to calculate the amount you need to...