Original Schrodinger Equation Article in English

[new_986]

Hi every one ..
Could anyone provide me a link of original Schrödinger equation article in english?? I'll really approciate that

 

[badel hyder]

this the original Schrödinger equation
E = K + V
this equation in opertar
-((h/2π)2/2m)(∂2Ψ(x,t)/∂x2)+V(x,t)Ψ(x,t) = j(h/2π)(∂Ψ(x,t)/∂t)

A description of each variable:

h - Planck's Constant - Usually (h/2π) is called hbar, and has a value of 0.6582*10-15 eV·s
m -mass of the particle being examined.
Ψ - The wave function. This is what is usually being computed using Schroedinger's Equation.
V - This is the potential energy of the described particle.
j - The imaginary number, being equal to √-1.
x - Position
t - Time
thank

 

[Deric Boyle]

would this article form wikipedia do?
en.m.wikipedia.org/wiki/Schrödinger_equation?wasRedirected=true

 

[unusualname]

The original papers were in german, but he did publish an article in english in the same year

http://prola.aps.org/abstract/PR/v28/i6/p1049_1

it's available http://www.wepapers.com/Papers/3042/An_Undulatory_Theory_of_the_Mechanics_of_Atoms_and_Molecules_-_Schrodinger and along with many other historical documents here

a discussion of the paper: http://eview.anu.edu.au/cross-sections/vol5/pdf/08.pdf

 

[new_986]

Thanks dear Badel

 

[new_986]

No Mr. Deric Boyle it doesn't work Thanks

 

[new_986]

Dear Mr. unusualname the first link you gave may it work to me but it's not free and i need a free one if it available and thanks

 

[unusualname]

Dear Mr. unusualname the first link you gave may it work to me but it's not free and i need a free one if it available and thanks

follow the second or third link in my post, one has a flash viewer but the other has a list of papers and you just need to scroll down

 

[new_986]

Thanks dear

 

[king vitamin]

Even looking through journal databases available through my university I had a lot of trouble finding Schrödinger's original papers. I got this recently:
https://www.amazon.com/gp/product/0821835246/?tag=pfamazon01-20
It's a collection of his original papers and several lectures where he explains his reasoning in developing his equaton and derives the energy levels of several problems as well as perturbation theory. It's a fantastic read. Interestingly, the 1926 papers he incorrectly asserts that the wavefunction is to be interpreted as a charge distribution (the last paper, from 1927, defers to Born's correct probability interpretation). He also does not write down the complete time-dependent equation until the 4th paper when he requires it for time-dependent perturbation threory.

 

[Deric Boyle]

new986 actually it depends on what project you are working or what research you are doing.So please give us some details :-)

 

[unusualname]

Even looking through journal databases available through my university I had a lot of trouble finding Schrödinger's original papers. I got this recently:
https://www.amazon.com/gp/product/0821835246/?tag=pfamazon01-20
It's a collection of his original papers and several lectures where he explains his reasoning in developing his equaton and derives the energy levels of several problems as well as perturbation theory. It's a fantastic read. Interestingly, the 1926 papers he incorrectly asserts that the wavefunction is to be interpreted as a charge distribution (the last paper, from 1927, defers to Born's correct probability interpretation). He also does not write down the complete time-dependent equation until the 4th paper when he requires it for time-dependent perturbation threory.

That's a nice collection with all the papers translated to english. Schrödinger was fluent in english due to english grandmother so the papers are very readable. The (hard to find) four lectures from 1928 given at the Royal Institution are available at this archive site:

http://www.archive.org/details/fourlecturesonwa00schr

 

[A. Neumaier]

Schrödinger's original papers. [...] the 1926 papers he incorrectly asserts that the wavefunction is to be interpreted as a charge distribution (the last paper, from 1927, defers to Born's correct probability interpretation).

For a single charged particle, the interpretation of the squared modulus of the wave function as the mean charge density is derivable from the Born interpretation. Thus his assertion was not incorrect.

The interpretation as a charge density breaks down only for multiparticle states (where, unlike charge density, the squared modulus of the wave function lives in 3N-dimensional space) and for neutral particles.

 

[Alfrez]

this the original Schrödinger equation
E = K + V
this equation in opertar
-((h/2π)2/2m)(∂2Ψ(x,t)/∂x2)+V(x,t)Ψ(x,t) = j(h/2π)(∂Ψ(x,t)/∂t)

A description of each variable:

h - Planck's Constant - Usually (h/2π) is called hbar, and has a value of 0.6582*10-15 eV·s
m -mass of the particle being examined.
Ψ - The wave function. This is what is usually being computed using Schroedinger's Equation.
V - This is the potential energy of the described particle.
j - The imaginary number, being equal to √-1.
x - Position
t - Time
thank

Some questions guys.

The clearest description of the equation and its use for beginners is in Schumm book "Deep Down Things". The equation is

-h^2/8pi^2m (d^2/dx^2) [PSI(x)] + V(x) PSI(x) = E PSI(x) which is K + V = E. Why is this energy different from the above? Anyway. The author explained:

"Thus, the Schroedinger equation is just the wave-mechanical statement that the sum of the kinetic and potential energies at any given point is just equal to the total energy - the Schroedinger equation is simply the quantum-mechanical formulation of the energy conservation. From this quantum-mechanical version of energy conservation arises the full set of constraints that prescribe the possible quantum mechanical wave mechanics of the object."

Question. Supposed external energy is added to the system such that the electron is rise to the next orbital releasing photon. Can QM still be used to model it or does one need Quantum Field Theory? How about additional external energy that increase say the molecular rotational or translational speed, is QM still used here or QFT? If QM is no longer used, does it mean that whenever new external energy is added to the system. QM is no longer valid or do you just add the new energy to the kinetic energy component of the Schroedinger equations??

 

[new_986]

new986 actually it depends on what project you are working or what research you are doing.So please give us some details :-)

Im doing calculations for ZnS using DFT which is one of ab initio methods but i want write starting from many-electron Schrödinger equation, so i need the original paper to use as reference,, thanks

 

[alxm]

Im doing calculations for ZnS using DFT which is one of ab initio methods but i want write starting from many-electron Schrödinger equation, so i need the original paper to use as reference,, thanks

What are you writing, a thesis? I've read quite a number of those (and written some) that have to do with DFT, but I've never seen one that started quite that far back.
Seems like unnecessary work, frankly. After simply stating the Schrödinger equation and possibly the Born-Oppenheimer approximation so you have the electronic S.E.,
I'd suggest starting with Hartree-Fock and Kohn-Sham theory, or thereabouts.

You might want to try to find https://www.amazon.com/dp/981022771X/?tag=pfamazon01-20. It's a reprint of some of the most important papers in the field, the ones not in English (such as the original Born-Oppenheimer paper) are translated.

 

[new_986]

What are you writing, a thesis? I've read quite a number of those (and written some) that have to do with DFT, but I've never seen one that started quite that far back.
Seems like unnecessary work, frankly. After simply stating the Schrödinger equation and possibly the Born-Oppenheimer approximation so you have the electronic S.E.,
I'd suggest starting with Hartree-Fock and Kohn-Sham theory, or thereabouts.

You might want to try to find https://www.amazon.com/dp/981022771X/?tag=pfamazon01-20. It's a reprint of some of the most important papers in the field, the ones not in English (such as the original Born-Oppenheimer paper) are translated.

yes I am writting my thesis,,, i want to write a general introduction about ab initio methods (and descripe a solutions of Schrödinger equation) as a starting point of the thesis...thank you for the book