Basic probability for quantum mechanics

Click For Summary

Homework Help Overview

The discussion revolves around basic probability concepts in the context of quantum mechanics, specifically focusing on expectation values and their calculation methods.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about applying traditional summation formulas for probability in their specific problem parts. They seek clarification on how to approach parts b.) and c.) and mention confusion regarding part a.
  • Some participants question whether summation is always necessary for calculating expectation values, suggesting a distinction between average values and expectation values, and noting the potential lack of connection to the wave function.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of expectation values and their calculations. There is a focus on clarifying concepts rather than reaching a consensus.

Contextual Notes

Participants are navigating the complexities of quantum mechanics probability without clear definitions or relationships established between the concepts discussed, such as the wave function and expectation values.

athrun200
Messages
275
Reaction score
0

Homework Statement


See photo 1


Homework Equations


All formula for probability.


The Attempt at a Solution


See photo 2

It seems traditional formula (involve summation) can't be used.
So how to obtain answer for b.) and c.)?

Also, I am not sure for part a.
 

Attachments

  • 1.jpg
    1.jpg
    21.8 KB · Views: 448
  • 2.jpg
    2.jpg
    10 KB · Views: 434
Last edited:
Physics news on Phys.org
Is a sum always used to calculate expectation values?
 
George Jones said:
Is a sum always used to calculate expectation values?

I think that is average value.
To get expectation values, we need to have wave function.
However, it seems there is no relation between the needle and wave function
 
Let me try again.

Is a sum always used when calculating average values.
 

Similar threads

Sequential measurements in quantum mechanics
  • · Replies 27 ·
Replies
27
Views
2K
Griffiths' Quantum Mechanics Problem 4.27 : Diatomic particles
  • · Replies 46 ·
2
Replies
46
Views
3K
E<V Potential Step Confusion
  • · Replies 7 ·
Replies
7
Views
3K
Quantum Tunelling Problem with Boundary Conditions
  • · Replies 3 ·
Replies
3
Views
3K
Particle in a cylindrically symmetric potential (Quantum mechanics)
  • · Replies 5 ·
Replies
5
Views
3K
Griffiths Quantum Mechanics 2nd edition Chapter 8 equation is confusing
  • · Replies 2 ·
Replies
2
Views
3K
Use of vector spaces in quantum mechanics
  • · Replies 2 ·
Replies
2
Views
2K
Quantum energy of a particle in a 2 dimensional space
  • · Replies 1 ·
Replies
1
Views
1K
Two-level Quantum System - initial state
  • · Replies 14 ·
Replies
14
Views
3K
Undergrad Discussion on the probabilistic interpretation of quantum mechanics
  • · Replies 11 ·
Replies
11
Views
2K