Quick clarification on how this change of variables for QHO came about

Click For Summary
SUMMARY

The discussion clarifies the change of variables for Quantum Harmonic Oscillator (QHO) equations, specifically addressing the role of E0 as a constant electric field rather than ground state energy. The conversation emphasizes the necessity of transforming the equation to a dimensionless form and eliminating the linear term in x. These changes are crucial for simplifying the analysis of the QHO under the influence of an external electric field.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with Quantum Harmonic Oscillator (QHO) concepts
  • Knowledge of variable transformation techniques in mathematical physics
  • Basic grasp of electric field effects on quantum systems
NEXT STEPS
  • Study the mathematical foundations of Quantum Harmonic Oscillator equations
  • Research variable transformation methods in quantum mechanics
  • Explore the implications of constant electric fields on quantum systems
  • Learn about dimensionless equations in physics and their applications
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics, as well as researchers interested in the effects of electric fields on quantum systems.

JJfortherear
Messages
14
Reaction score
0
http://imgur.com/cbQ44

I'm just not sure how they come up with that...

*note, the E0 is not ground state energy, it's a constant electric field.
 
Physics news on Phys.org
Look at it as two change of variables: one to make the equation dimensionless and one to get rid of the term linear in x.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K