The Wave function (psi) is just used as an identifier that the particle exhibits wave nature. Actually the square of the wave fn (psi2 ) - the probability amplitude- is the real significant parameter.
The probability amplitude gives the maximum probability of observing the particle in a given region in space.
This is the Schrodinger equation from 1925-1926.
Schrodinger wave equation
No, it is not solvable for any multi-electron system.
Erwin Schrodinger, a German physicist,
For general waves...probably d'Alembert, who solved the one-dimensional wave equation. In quantum it would have to be Schrodinger.
the schrodinger wave equation was not able to solve the energy associated with multi-electron atoms. as the no. of electron increases the dimentions also increased hence the problem was solved by spherical polar coordinates .
The time-independent Schr
Erwin Schrodinger
The Schrodinger equation is from January 1926.
You need to clarify the question.
Erwin Schrodinger
Schrodinger is the author of the well known equation; this equation can describe an atom. That there was a great deal of uncertainty as to where things were and that waves were as important as particles.