1989
DOI: 10.1007/bf00731876
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Off-shell electromagnetism in manifestly covariant relativistic quantum mechanics

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Cited by 73 publications
(104 citation statements)
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“…An offshell classical and quantum electrodynamics has been constructed [3] from a fundamental theory of relativistic dynamics of 4D particles, termed events, in a framework first derived by Stueckelberg [1,2]. Stueckelberg defined a Lorentz invariant Hamiltonian-like generator of evolution, over 8D phase space, parameterized by a Lorentz invariant τ , in both classical and quantum relativistic mechanics.…”
Section: Fundamentalsmentioning
confidence: 99%
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“…An offshell classical and quantum electrodynamics has been constructed [3] from a fundamental theory of relativistic dynamics of 4D particles, termed events, in a framework first derived by Stueckelberg [1,2]. Stueckelberg defined a Lorentz invariant Hamiltonian-like generator of evolution, over 8D phase space, parameterized by a Lorentz invariant τ , in both classical and quantum relativistic mechanics.…”
Section: Fundamentalsmentioning
confidence: 99%
“…Pre-Maxwell off-shell electrodynamics is constructed in a similar fashion to the construction of Maxwell electrodynamics from the Schrödinger equation [3]. Under the local gauge transformation…”
Section: Off-shell Electrodynamicsmentioning
confidence: 99%
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“…Analysis of the resulting wave equation [24] for the sourceless case shows that the symmetry group of the equations can be either O(3,2) or O(4,1), depending on the signature of the τ index. Since U α (see ( Since the 4-vector part of the current in (4.14) is not conserved by itself, it may not be the source for the Maxwell field.…”
Section: Implications For Gauge Theory In Covariant Quantum Mechanicsmentioning
confidence: 99%
“…where j α is given in (19) and (20). Although λ and e 0 must be dimensional constants, the dimensionless ratio e 0 /λ is the Maxwell charge e. In four-vector component form, (24) becomes…”
Section: Gauge Theorymentioning
confidence: 99%