Schrodinger equation with unknown potential function

Click For Summary
SUMMARY

The discussion focuses on determining the wave function when the potential function is unknown, specifically using scattering data, including time and coordinates of the scattering particle. Participants emphasize that scattering data can provide insights into the form factor of the target potential. The approach involves modeling the potential based on the derived form factor from the scattering data, which is essential for solving the Schrödinger equation in such scenarios.

PREREQUISITES
  • Understanding of the Schrödinger equation
  • Familiarity with quantum mechanics concepts
  • Knowledge of scattering theory
  • Experience with form factor analysis
NEXT STEPS
  • Research methods for extracting potential functions from scattering data
  • Study advanced techniques in quantum mechanics for modeling unknown potentials
  • Explore computational tools for simulating wave functions
  • Learn about form factor calculations in quantum scattering
USEFUL FOR

Physicists, quantum mechanics researchers, and anyone involved in theoretical modeling of wave functions and potential functions in quantum systems.

BogdanDNR
Messages
1
Reaction score
0
How to find wave function if potential function is unknown. I have only the scattering data: time and coordinates of scattering particle.
 
Physics news on Phys.org
I think that from scattering data you should get some information about the form factor of your target (potential) and then try to model you potential according to the form factor.
 

Similar threads

Undergrad Schrödinger equation and classical wave equation
  • · Replies 39 ·
2
Replies
39
Views
4K
Undergrad The imaginary part of the wave function
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Klein-Gordon equation in the nonrelativistic limit
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Postulate of only time dependence on |ψ⟩
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad When does an even potential give both even and odd solutions to Schrodinger's Eqn?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Scattering Theory: Difference between use of scattering amplitude and Born approximation?
  • · Replies 2 ·
Replies
2
Views
1K
High School Particle Function? Particle Equation?
  • · Replies 21 ·
Replies
21
Views
2K
Undergrad Derivation of Schrodinger equation (chicken and egg problem?)
  • · Replies 17 ·
Replies
17
Views
3K
Undergrad What is the Meaning of the Schrödinger Equation?
  • · Replies 11 ·
Replies
11
Views
2K
High School Does the Schrödinger Equation Imply a Deterministic Universe?
  • · Replies 4 ·
Replies
4
Views
2K