Schrodinger equation and Born's Rule

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SUMMARY

The discussion centers on the Schrödinger equation and its interpretation in quantum mechanics, specifically addressing a homework question regarding its properties. The correct answer to the question is C, which states that solving the Schrödinger equation allows us to determine the energy of atomic orbitals. A common misconception is clarified: while the square of the wave function relates to the probability of finding an electron, it is not the square of the Schrödinger equation itself that provides this information, but rather the application of Born's Rule, established in 1926.

PREREQUISITES
  • Understanding of the Schrödinger equation in quantum mechanics
  • Familiarity with atomic orbitals and their properties
  • Knowledge of Born's Rule and its implications
  • Basic concepts of wave functions and probability amplitudes
NEXT STEPS
  • Study the derivation and applications of the Schrödinger equation in quantum mechanics
  • Explore the implications of Born's Rule in quantum probability
  • Learn about the mathematical representation of wave functions and their interpretations
  • Investigate the differences between classical and quantum descriptions of atomic structure
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Students of quantum mechanics, physicists, and educators seeking to deepen their understanding of the Schrödinger equation and its foundational role in quantum theory.

yecko
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Homework Statement


[/B]
Q18.
Which of the following statements about Schrödinger equation is true?
A) The exact solution of the equation never exists
B) It is only applicable to the hydrogen-like atoms
C) We can know the energy of the atomic orbital by solving the equation
D) The square of the equation gives the probability of finding an electron

Answer: C

Homework Equations


Schrödinger equation

The Attempt at a Solution


I do not understand the answer why is not D.
"The atomic orbital, when squared, describes the probability of finding the electron at a spatial location; Therefore, an atomic orbital is simply the probability amplitude function. ( |Y(x,y,z)|2; Born’s rule, 1926 ) "
Isn't Born's rule applicable in the question?
Thanks.
 
Physics news on Phys.org
Born rule involves the square of the wave-function, not the square of the Schrödinger equation.
 

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