# Solving the schrodinger equation

• smoslemi
In summary, the Schrodinger equation is a fundamental equation in quantum mechanics that describes the time evolution of a quantum system. It is important because it allows us to understand and predict the behavior of quantum systems, and is solved using various mathematical techniques. Some applications of solving the Schrodinger equation include understanding electronic structures, predicting material behavior, and developing quantum technologies. However, there are limitations to the equation, such as only applying to non-relativistic systems and becoming increasingly difficult to solve for systems with more than two particles.
smoslemi
Hi,
I am looing for a book that explains the solving methods for 3D schrodinger equation. Can anybody help me?
Sanam

Hi Sanam,

There are many books available that explain the solving methods for the 3D Schrodinger equation. Some popular ones include "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili, "Introduction to Quantum Mechanics" by David J. Griffiths, and "Quantum Mechanics" by Albert Messiah. These books cover the basics of solving the Schrodinger equation and also provide examples and exercises for practice. Additionally, there are many online resources and video lectures available that can also help in understanding the solving methods for the Schrodinger equation. I recommend doing some research and finding the resource that best suits your needs and learning style. Best of luck with your studies!

## 1. What is the Schrodinger equation?

The Schrodinger equation is a mathematical equation that describes how the quantum state of a physical system changes over time. It was developed by Austrian physicist Erwin Schrodinger in 1926 and is a fundamental equation in quantum mechanics.

## 2. Why is solving the Schrodinger equation important?

Solving the Schrodinger equation is important because it allows us to understand and predict the behavior of quantum systems. This is crucial in many fields, such as chemistry, material science, and quantum computing.

## 3. How do you solve the Schrodinger equation?

The Schrodinger equation is solved using various mathematical techniques, such as separation of variables, perturbation theory, and variational methods. These methods involve breaking down the equation into simpler parts and using mathematical tools to find the solution.

## 4. What are the applications of solving the Schrodinger equation?

The applications of solving the Schrodinger equation are vast and include understanding the electronic structure of atoms and molecules, predicting the behavior of materials, and developing quantum technologies such as quantum computers and sensors.

## 5. Are there any limitations to solving the Schrodinger equation?

Yes, there are limitations to solving the Schrodinger equation. It only applies to non-relativistic systems and cannot accurately describe interactions between particles at high speeds. Additionally, it becomes increasingly difficult to solve for systems with more than two particles, making it impractical for large-scale simulations.

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