How can the Schrodinger equation be applied to a 3D rectangular box?

In summary, the Schrodinger equation in 3D is a fundamental equation in quantum mechanics that describes the evolution of a quantum system over time and calculates the probability of finding a particle in a specific position in three-dimensional space. It was developed by Erwin Schrodinger in 1926 and is used in various fields such as chemistry, material science, and engineering to understand the behavior of particles and materials. However, it has some limitations, such as not accurately predicting high-energy particle behavior and not accounting for relativity, but it is still a valuable tool in most situations.
  • #1
TimeRip496
254
5
Can anyone give me a really simple example on how to use the eqn above to solve it?
 
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  • #3
You've done the one-dimensional "particle in a box" a.k.a. "infinite square well", right? Try the three-dimensional "rectangular" version in Cartesian coordinates. A Google search for things like "three dimensional square well" or "schrodinger equation three dimensional box" should find lecture notes about it. Maybe include the word "rectangular."
 

1. What is the Schrodinger equation in 3D?

The Schrodinger equation in 3D is a mathematical equation that describes how a quantum system evolves over time. It is a fundamental equation in quantum mechanics and is used to calculate the probability of finding a particle in a certain position in three-dimensional space.

2. Who developed the Schrodinger equation in 3D?

The Schrodinger equation in 3D was developed by Austrian physicist Erwin Schrodinger in 1926. He won the Nobel Prize in Physics in 1933 for his contributions to the development of quantum mechanics.

3. What does the Schrodinger equation in 3D tell us about particles?

The Schrodinger equation in 3D tells us about the wave-like behavior of particles at the quantum level. It helps us understand how particles can exist in multiple states at the same time and how they can interact with each other through quantum entanglement.

4. How is the Schrodinger equation in 3D applied in real-world situations?

The Schrodinger equation in 3D is used in many different fields, including chemistry, material science, and engineering. It is used to understand the behavior of atoms and molecules, the properties of materials, and the functioning of electronic devices such as transistors.

5. What are the limitations of the Schrodinger equation in 3D?

The Schrodinger equation in 3D has some limitations, such as not being able to accurately predict the behavior of particles at high energies. It also does not take into account the effects of relativity. However, it is still a very useful tool for understanding and predicting the behavior of quantum systems in most situations.

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