| Title:
|
A continuous geometry as a mathematical model for quantum mechanics (English) |
| Author:
|
Duckenfield, Christopher J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
217-236 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06-00 |
| MSC:
|
81-06 |
| MSC:
|
81Bxx |
| MSC:
|
81Q99 |
| idZBL:
|
Zbl 0208.27702 |
| idMR:
|
MR0250573 |
| . |
| Date available:
|
2008-06-05T20:30:15Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105229 |
| . |
| Reference:
|
[1] G. MACKEY: Mathematical Foundations of Quantum Mechanics.Benjamin, 1961. |
| Reference:
|
[2] I. KAPLANSKY: Any orthocomplemented complete modular lattice is a continuous geometry.Ann. Math., 1955, 61, 524-541. Zbl 0065.01801, MR 0088476 |
| Reference:
|
[3] C. DUCKENFIELD: Eigenvalues in continuous rings.submitted to Acta sci. math. |
| Reference:
|
[4] J. von NEUMANN: Continuous geometry.Proc. Nat. Acad. Sci., U. S. A., 22 (1936), 92-100. Zbl 0014.22307 |
| Reference:
|
[5] J. von NEUMANN: Examples of continuous geometries.Proc. Nat. Acad. Sci., U. S. A., 22 (1936), 101-108. Zbl 0014.22308 |
| Reference:
|
[6] J. von NEUMANN: On regular rings.Proc. Nat. Acad. Sci., U. S. A., 22 (1936), 707-713. Zbl 0015.38802 |
| Reference:
|
[7] J. von NEUMANN: Algebraic theories of continuous geometries.Proc. Nat. Acad. Sci., U. S. A., 23 (1937), 16-22. |
| Reference:
|
[8] J. von NEUMANN: Continuous rings and their arithmetics.Proc. Nat. Acad. Sci., U. S. A., 23 (1937), 341-349. Zbl 0017.14804 |
| Reference:
|
[9] J. von NEUMANN: Continuous Geometry.Princeton 1960. Zbl 0171.28003, MR 0120174 |
| Reference:
|
[10] L. SKORNYAKOV: Complemented Modular Lattices and Regular Rings.Oliver and Boyd, 1964. Zbl 0156.04101, MR 0169799 |
| Reference:
|
[11] P. HALMOS: Measure Theory.Van Nostrand, 1962. MR 0033869 |
| Reference:
|
[12] F. MAEDA: Kontinuierliche Geometrien.Sp. - Verlag, 1958. MR 0090579 |
| . |
