User:Onthenet/QuantumMechanics

Quantum Mechanics
The wave particle duality of matter and light is the subject of Quantum Mechanics. On the one hand light that was well established by Maxwell, to have wave like properties, are now argued to have particle like properties. On the other hand particles which are long held to finite and discrete properties, are argued by Born, Schrödinger, et al. to have wave properties.

While this is the general subject of Quantum Mechanics, a typical introduction will focus on the wave aspects of particles. In particular, there are several asymmetries. While Maxwell's equation gives the wave properties of light, a corresponding equation that describes the particle properties does not exist. Similarly this applies to the Schrödinger equation. Further, while Maxwell's equations are field equations the Schrödinger equation is not. These asymmetries are discussed further and addressed in more detail in quantum field theores, OFT.

Schrodinger Equation


\frac{ \partial^2{\psi} }{ \partial^2{x} } = i \frac{h }{2\pi} \frac{\partial{\psi}}{\partial{t}} $$