Generally Covariant Dirac Hamiltonian
Autor: | Kenneth J. Epstein |
---|---|
Rok vydání: | 1998 |
Předmět: |
Physics
Physics and Astronomy (miscellaneous) General relativity General Relativity and Quantum Cosmology symbols.namesake Classical mechanics Dirac equation symbols ADM formalism Covariant transformation Covariant Hamiltonian field theory Superintegrable Hamiltonian system Canonical quantum gravity Hamiltonian (quantum mechanics) Mathematical physics |
Zdroj: | General Relativity and Gravitation. 30:617-627 |
ISSN: | 1572-9532 0001-7701 |
DOI: | 10.1023/a:1018822325332 |
Popis: | The generally covariant Dirac equation reduces to a mathematically simple form with a clear physical meaning that is best demonstrated by the Hamiltonian formalism. The resulting Hamiltonian is compared to the corresponding classical Hamiltonian, and assumes a particularly simple form for the Robertson-Walker metric of the Standard Cosmological Model when that metric is expressed in a coordinate system referred to as Einstein coordinates because it is based on a coordinate constraint recommended by Einstein in his original paper on general relativity. A kinematic definition of distance, based on the form of the classical Hamiltonian, is used in discussing the physical meaning of the results. |
Databáze: | OpenAIRE |
Externí odkaz: |