The biggest limitation by far is that an exact solution is possible for only a small number of initial conditions. For example, one can figure out the solution for permitted states of one electron around a nucleus. However, there is no exact solution for even two electrons around a nucleus.
The time-independent Schr
Boundary conditions allow to determine constants involved in the equation. They are basically the same thing as initial conditions in Newton's mechanics (actually they are initial conditions).
Erwin Schrodinger
Yes it is
Poiseuille Equation can only be applied to laminar flow.
This is the Schrodinger equation from 1925-1926.
Schrodinger wave equation
equation is a double differential relate to the energy of particle with wave function
No, it is not solvable for any multi-electron system.
For general waves...probably d'Alembert, who solved the one-dimensional wave equation. In quantum it would have to be Schrodinger.
It is also called wave mechanics because quantum mechanics governed by Schrodinger's wave equation in it's wave-formulation.
The current picture of the hydrogen atom is based on the atomic orbitals of wave mechanics which Erwin Schrodinger developed in 1926. This model is based on the Schrodinger Equation.
Schrodinger
The equation, as originally written by Erwin Schrodinger, does not use relativity. More complicated versions of his original equation, which do incorporate relativity, have been developed.For more information, please see the related link below.
It is used to find probability distributions (expectation values) of properties of subatomic particles.
The time dependent equation is more general. The time independent equation only applies to standing waves.
The time-independent Schr