Schrodinger equation and Born's Rule

The statement that is true is C) We can know the energy of the atomic orbital by solving the equation, as the solution of the Schrodinger equation gives the energy of the system.
  • #1
yecko
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Homework Statement


[/B]
Q18.
Which of the following statements about Schrodinger 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


Schrodinger 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.
 
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  • #2
Born rule involves the square of the wave-function, not the square of the Schrodinger equation.
 

What is the Schrodinger equation?

The Schrodinger equation is a fundamental equation in quantum mechanics that describes how the wave function of a quantum system changes over time. It is used to calculate the probability of finding a particle in a particular state at a given time.

What is the significance of the Schrodinger equation?

The Schrodinger equation is significant because it allows us to make predictions about the behavior of quantum systems, such as atoms and molecules. It also provides a mathematical framework for understanding the wave-particle duality of matter.

What is Born's Rule?

Born's Rule is a fundamental principle in quantum mechanics that describes how the wave function of a quantum system relates to the probability of finding a particle in a particular state. It states that the square of the absolute value of the wave function at a given point is proportional to the probability of finding the particle at that point.

How is Born's Rule related to the Schrodinger equation?

Born's Rule is derived from the Schrodinger equation. It provides a way to interpret the mathematical solutions of the Schrodinger equation in terms of the physical reality of quantum systems.

What are the implications of the Schrodinger equation and Born's Rule?

The Schrodinger equation and Born's Rule have numerous implications for our understanding of the behavior of quantum systems. They allow us to make predictions about the behavior of particles at the subatomic level and have led to the development of technologies such as transistors and lasers. They also challenge our classical intuitions about the nature of reality and the role of observation in shaping it.

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