| | 1 | Author
| DanielM. Greenberger | Requires cookie* | | | Title
| The Inconsistency of the Usual Galilean Transformation in Quantum Mechanics and How To Fix It  | | | | Abstract
| It is shown that the generally accepted statement that one cannot superpose states of different mass in non-relativistic quantum mechanics is inconsistent. It is pointed out that the extra phase induced in a moving system, which was previously thought to be unphysical, is merely the non-relativistic residue of the "twin-paradox" effect. In general, there are phase effects due to proper time differences between moving frames that do not vanish non-relativistically. There are also effects due to the equivalence of mass and energy in this limit. The remedy is to include both proper time and rest energy non-relativis-tically. This means generalizing the meaning of proper time beyond its classical meaning, and introduc ing the mass as its conjugate momentum. The result is an uncertainty principle between proper time and mass that is very general, and an integral role for both concepts as operators in non-relativistic physics. | | | |
Reference
| Z. Naturforsch. 56a, 67—75 (2001); received February 8 2001 | | | |
Published
| 2001 | | | |
Keywords
| Galilean Transformation, Symmetry, Superselection Rules, Proper Time, Mass | | | |
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| default:Reihe_A/56/ZNA-2001-56a-0067.pdf | | | | Identifier
| ZNA-2001-56a-0067 | | | | Volume
| 56 | |
| 2 | Author
| Z. Naturforsch | Requires cookie* | | | Title
| The Stereochemistry of Chloro-bis(N-morpholino)phenylsilane | | | | Abstract
| Treatment of phenyltrichlorosilane with an excess of morpholine and N-lithium-morpholide in pentane/toluene affords only the disubstitution product Cl(Ph)Si(M or)2 with Mor = 0 (C H 2C H :)2N-. The third halogen atom is not replaced owing to sterical hindrance. The title compound crystallizes with two independent molecules in the unit cell. These two molecules can be classified as enantiomers, because a disrotatory twist of the two morpholino ligands away from the potential mirror plane induces a chiral conformation. In benzene solution there is racemization owing to completely free rotation, chair/boat interconversion, and nitrogen inversion of the morpholino groups on the NMR time scale, but all CH 2 protons remain anisochronous (diastereotopic). | | | |
Reference
| (Z. Naturforsch. 54b, 18—20 [1999]; received October 15 1998) | | | |
Published
| 1999 | | | |
Keywords
| Silylamines, Aminosilanes, Symmetry, NMR Data, Crystal Structure | | | |
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| default:Reihe_B/54/ZNB-1999-54b-0018.pdf | | | | Identifier
| ZNB-1999-54b-0018 | | | | Volume
| 54 | |
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