Can Schrödinger wave equations be applied for the relativistic case?

No, it can’t be applied to relativistic particles (such as high-Z Atoms). For that matter, one has to apply the Dirac equation .

What is Schrödinger equation for non-relativistic particles?

The Schrödinger equation is based on the Planck-Einstein equations, which connect the wave and particle behavior of the quantum particles into each other. The differential equation is obtained by the jointly usage of the Planck-Einstein equations with the non-relativistic energy relation of classical dynamics.

How do the parameters in relativistic and non-relativistic quantum mechanics different from each other?

In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM). By contrast, in non-relativistic quantum mechanics, terms have to be introduced artificially into the Hamiltonian operator to achieve agreement with experimental observations.

What does Schrödinger’s wave equation tell us about the quantum mechanical model?

The Schrodinger equation is used to find the allowed energy levels of quantum mechanical systems (such as atoms, or transistors). The associated wavefunction gives the probability of finding the particle at a certain position. The solution to this equation is a wave that describes the quantum aspects of a system.

Is the Schrödinger equation Lorentz invariant?

The Schrodinger equation is not Lorentz Invariant, so it cannot be applied to the wave functions of moving particles. By using this knowledge, a Lorentz Invariant form of the Schrodinger equation can be developed that can be applied to the wave functions of moving particles.

Where does the Schrodinger equation come from?

Originally Answered: How do I prove Schrödinger’s equation? It was not really derived, but it did come from the wave-particle duality concept originated by Einstein (for photons) and de Broglie (for matter).

What does the Schrödinger equation represent?

The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject.

What does the Schrödinger equation do?

Essentially a wave equation, the Schrödinger equation describes the form of the probability waves (or wave functions [see de Broglie wave]) that govern the motion of small particles, and it specifies how these waves are altered by external influences.