- #1
Guaicai
- 8
- 0
How the symmetric and antisymmetric have results: A=0,G=H and B=0,G=-H in last picture ?[emoji53]
Some questions about the Finite Potential Well
- Context: Graduate
- Thread starter Guaicai
- Start date
Click For Summary
SUMMARY
The discussion focuses on the analysis of symmetric and antisymmetric wave functions in the context of the Finite Potential Well. Participants emphasize the importance of substituting specific values, such as A=0 and G=H for symmetric solutions, and B=0 and G=-H for antisymmetric solutions. The graphical representation of these wave functions is crucial, particularly when using the x=0 line as a symmetry axis. Drawing these functions aids in visualizing the behavior of quantum states within the potential well.
PREREQUISITES- Understanding of quantum mechanics principles, particularly wave functions.
- Familiarity with the concept of the Finite Potential Well.
- Basic skills in graphing mathematical functions.
- Knowledge of symmetric and antisymmetric properties in physics.
- Explore the mathematical derivation of wave functions in the Finite Potential Well.
- Learn about the implications of symmetry in quantum mechanics.
- Investigate graphical techniques for plotting wave functions.
- Study the differences between bound and unbound states in quantum systems.
Students and professionals in physics, particularly those studying quantum mechanics, as well as educators looking to enhance their understanding of wave functions in potential wells.
How the symmetric and antisymmetric have results: A=0,G=H and B=0,G=-H in last picture ?[emoji53]
- #2
blue_leaf77
Science Advisor
- 2,637
- 786
Take a pencil and a paper then try drawing the symmetric one first where you have to substitute A=0, G=H into ##\psi_1##, ##\psi_2##, and ##\psi_3##. How does the resulting curve looks like if you make the ##x=0## line as a symmetrical line? Do the same for antisymmetric solution.Guaicai said:How the symmetric and antisymmetric have results: A=0,G=H and B=0,G=-H in last picture ?
Similar threads
- · Replies 12 ·
- · Replies 5 ·
- · Replies 10 ·
Graduate
2-electron system under compression
- · Replies 12 ·
- · Replies 9 ·
- · Replies 3 ·
- · Replies 3 ·
- · Replies 3 ·
Undergrad
Finite square well bound states
- · Replies 1 ·
- · Replies 1 ·