sifeddin said:
Who the first gave them their commonly known spatial and timporal differential form?
ERWIN SCHRÖDINGER.
sifeddin said:
Was he really Schrodinger?
No,he was Schrödinger.
sifeddin said:
On what basis they are so?
Because they correctly repreduce Schrödinger's equation.
sifeddin said:
Is they depend on the classical mechanics correspondance principle/postulate?
The principle of correspondance was formulated by N.Bohr,after having seen the results obtained by Schrödinger and,generall,QM.
sifeddin said:
Finally I like to get the reference to whatever you knowledgeable poeple of QM reply to me.
In 1926,in "Annalen der Physik",Erwin Schrödinger published 5 articles (though Weinberg* mentions only 4):
*Vol.79,page 361.
*Vol.79,page 489.
*Vol.79,page 734 (not mentioned by Weinberg*,but part of the footnote on the first page of
(**)).
*Vol.80,page 437.
*Vol.81,page 109 (containing in the 6-th section the relativistic Schrödinger equation,according to Weinberg*).
The general ideas and results of these articles (less the relativistic equation) were published by Erwin Schrödinger in English in the American journal:
"The Physical Review",Second Series,Vol.28,No.6,page 1049,Dec.1926
(**)
In this article the correspondence:
p_{x}\rightarrow \frac{h}{2\pi}\frac{\partial \psi}{\partial x} ,...
is found in section #7,page 1064 (of the Journal),in the text between formulas #22 and #23.
And in formula #23 he gives the general classical Hamiltonian as a quadratic form of momenta + the potential energy and then applies the same rule to the classical momenta.
Equation #26 is the generalization of equation #16,the latter giving the time-independent SE for one particle in the potential field V...
Daniel.
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* Steven Weinberg,"The Quantum Theory of Fields",CUP,1995,Volume 1,page 40-41.
