/The probability density does not goto zero at the nodes if

Click For Summary
SUMMARY

The discussion centers on the impact of relativistic effects on probability density in quantum mechanics, specifically regarding a particle in a box model. It is established that when relativistic effects are considered, the probability density does not approach zero at the nodes, suggesting that energy levels and atomic orbitals may not be strictly discrete. This indicates a need for potential remodeling of atomic models to accommodate these findings.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with relativistic effects in physics
  • Knowledge of the particle in a box model
  • Basic concepts of atomic orbitals and energy levels
NEXT STEPS
  • Research the implications of relativistic quantum mechanics on atomic structure
  • Study the particle in a box model in greater detail
  • Explore the concept of probability density in quantum mechanics
  • Investigate modern atomic models that incorporate relativistic effects
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the effects of relativistic physics on atomic structure and probability distributions.

dpa
Messages
146
Reaction score
0
///
The probability density does not go
to zero at the nodes if relativistic
effects are taken into account.
///
src=wikipedia, particle in a box.
///
so does it mean energy levels/atomic orbitals are not necessarily discrete and that atom has to be remodeled.
***pardon my ignorance if I am wrong. I am really amateur.
 
Physics news on Phys.org


dpa said:
so does it mean energy levels/atomic orbitals are not necessarily discrete and that atom has to be remodeled.

Naa, it just means that when you take relativistic effects into account it effects the probability distributions.
 

Similar threads

Replies
6
Views
1K
  • · Replies 23 ·
Replies
23
Views
3K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
9K
Replies
1
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
5K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 15 ·
Replies
15
Views
4K