Is it possible to derive HUP from SE?

  • Context: Graduate 
  • Thread starter Thread starter sokrates
  • Start date Start date
  • Tags Tags
    Derive Hup
Click For Summary
SUMMARY

The discussion centers on the derivation of the Heisenberg Uncertainty Principle (HUP) from the Schrödinger Equation (SE). Participants argue that while the SE is deterministic and can describe wave functions, it does not inherently provide the necessary framework to derive the HUP without additional concepts such as commutation relations. The consensus is that the SE alone is insufficient for deriving the HUP, as it requires understanding the relationship between position and momentum operators, which are fundamental to quantum mechanics.

PREREQUISITES
  • Understanding of the Schrödinger Equation (SE) in quantum mechanics.
  • Familiarity with the Heisenberg Uncertainty Principle (HUP).
  • Knowledge of quantum mechanical operators, particularly position and momentum.
  • Basic principles of Fourier analysis and its application in quantum mechanics.
NEXT STEPS
  • Study the derivation of the Heisenberg Uncertainty Principle from commutation relations.
  • Explore the role of the Schrödinger Equation in predicting quantum states and observables.
  • Learn about the mathematical framework of quantum mechanics, including operators and Hilbert spaces.
  • Investigate the implications of the Schrödinger Equation on wave function normalization and probability currents.
USEFUL FOR

Students and professionals in physics, particularly those focused on quantum mechanics, theoretical physicists, and anyone interested in the foundational principles of quantum theory.

  • #31
quZz said:
Fredrik, that is quite right... sokrates should realize that Schroedinger equation describes evolution in time, while uncertainty principles are consequences of definitions of corresponding operators. Any solution of Schroedinger equation with Hamiltonian constructed with those operators satisfy uncertainty principles.

: )
Right, I very well realized that thanks to StatusX and Fredrik. It's nailed into my head : )
 
Last edited:
Physics news on Phys.org
  • #32
lightarrow said:
Equations means nothing if you don't give specific meanings to the symbols present in there.

I tried very hard to not write a sarcastic answer. But I have to do this:

Oh really?!

(nobody claimed the opposite)
 

Similar threads

Undergrad Heisenberg Uncertainty Principle and macroscopic objects
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What would the world be like if the HUP were not a thing?
  • · Replies 6 ·
Replies
6
Views
1K
Graduate Is delayed choice remote entanglement of photons derived from TDSE?
  • · Replies 58 ·
2
Replies
58
Views
5K
Undergrad Heisenberg's Uncertainty Principle common misconceptions
  • · Replies 52 ·
2
Replies
52
Views
6K
Undergrad How to derive Schrodinger's equation?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Tangibly Explaining HUP to General Chemistry Students
  • · Replies 8 ·
Replies
8
Views
2K
Graduate How to derive the Momentum and Energy Operators from first principles?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Different Approaches to the Time Dependent Variational Principle
  • · Replies 0 ·
Replies
0
Views
1K
Graduate Is this a valid derivation of the Uncertainty Principle?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate I am getting into a mess with the HUP
  • · Replies 12 ·
Replies
12
Views
3K