Where Can I Find Solutions for 3D Schrödinger Equation?

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Homework Help Overview

The discussion centers around finding methods to solve the three-dimensional Schrödinger equation, particularly in the context of quantum mechanics. The original poster expresses difficulty in locating resources or algorithms for this specific problem, noting a lack of accessible literature on the topic.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the absence of a general procedure for solving the 3D Schrödinger equation and suggest that the nature of the system being analyzed is crucial. There are mentions of utilizing spherical coordinates for systems with symmetry, as well as the complexity involved in larger systems.

Discussion Status

Some participants have provided suggestions for exploring free archives for relevant literature, while others have pointed out specific articles that may be of interest. The conversation reflects a range of inquiries and suggestions without reaching a consensus on a specific method or solution.

Contextual Notes

The original poster indicates frustration with the availability of resources, particularly noting that many articles are behind paywalls. There is an emphasis on the need for numerical methods and algorithms tailored to the 3D Schrödinger equation.

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Hello everyone! I am a new member and please sorry for some question that perhaps were discussed here before. But really I need your help. I am searching for methods of solving 3 dimensional Schrödinger equation. Till now in internet I coulnd't find any solution. All the papers and articles are either about 1 dimensional equation or this topic is discussed just in some article that you should pay for reading them. It is several months I am trying to find it and I am going to loose my hope. Perhaps any of you can advise some software that could be used for solving 3 dimensional equation or just can advise me an algorithm? I will be so thankfull for any help :!)

Olga
 
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There's not a general procedure for solving the 3D Schrödinger Equation (SE). I think you will get better responses if you describe for what kind of system you are trying to solve the 3D SE.

For systems with spherical symmetry (atoms, for example) you could rewrite the SE in spherical coordinates and take advantage of the symmetry. It gets very complicated for anything larger than the hydrogen atom though so that approximations need to be used.
 
thanks a lot for your reply. I am searching for numerical method of solving Schrödinger Equation, I know there is no general method.
There are some articles that describe such problem like

New method for solving three-dimensional Schrödinger equation
Authors:
Melezhik, V. S.
Publication:
Il Nuovo Cimento B, Vol. 106, p.537 (NCimB Homepage)
Publication Date:
00/1991
Origin:
ADS
Bibliographic Code:
1991NCimB.106..537M
but of course it is not possible to read them
 
Try searching the free archives first (e.g. http://xxx.lanl.gov/). Since the early 1990's many, if not most, physics papers have been posted there before appearing in other journals.
 

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