Discrete subgroups of the Poincaré group (Q2711729)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete subgroups of the Poincaré group |
scientific article |
Statements
25 April 2001
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creation and annihilation operators
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relativistic Schrödinger equation
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four-momentum operator
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Discrete subgroups of the Poincaré group (English)
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The author develops a version of relativistic quantum mechanics, in which discrete subgroups of the Lorentz group are used in order to construct interacting four-momentum operators. It is shown how to write the creation and annihilation operators in terms of discrete momenta, in such a way that the Poincaré commutation relations are preserved. Matrix elements of the relativistic Schrödinger equation in this representation satisfy an infinite system of first order partial differential equations.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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