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kasse
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The solution of the one dimensional Schrödinger equation for a particle in a one dimensional box is [tex]Asin \frac{n \pi x}{a}[/tex]. But how about if the box is 2D or 3D?
kasse said:What is the general solution then?
The Schrödinger equation is a mathematical equation that describes how the quantum state of a physical system changes over time. It is a fundamental equation in quantum mechanics and is used to predict the behavior of particles on a microscopic scale.
The Schrödinger equation was developed by Austrian physicist Erwin Schrödinger in 1926. He received a Nobel Prize in Physics in 1933 for his contributions to the development of quantum mechanics.
The Schrödinger equation is significant because it provides a mathematical framework for understanding the behavior of particles on a microscopic scale. It allows scientists to make predictions about the behavior of particles and has been used to develop technologies such as transistors and lasers.
The Schrödinger equation is a complex mathematical equation that can be solved using various mathematical techniques, such as separation of variables and perturbation theory. In some cases, an analytical solution cannot be found and numerical methods are used to approximate the solution.
The Schrödinger equation has many applications in areas such as quantum chemistry, solid state physics, and nuclear physics. It is also used in the development of quantum technologies, such as quantum computing and quantum cryptography.