- #1
andresB
- 629
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This thread is a shameless self-promotion of a recent work of mine: https://arxiv.org/abs/2105.13882
In the paper an operational version of classical relativistic dynamics (for massive particles) is obtained from an irreducible representation of the Poincaré group. The formalism has kets, Schrödinger equation, Heisenberg equation, unitary transformations and all that stuff.
The representation of the Poincaré group is quite different from anything used in relativistic quantum theories that I know of.
A list of notable features:
- Position and momentum operators commute.
- Position operator transforms as a Newton-Wigner operator.
- Relativistic Hamiltonian mechanics is recovered.
- Not worked out in the paper, but the meaning of the Cassimir operators is highly obscure. Contrasting heavily with he central role they play in QM.
In the paper an operational version of classical relativistic dynamics (for massive particles) is obtained from an irreducible representation of the Poincaré group. The formalism has kets, Schrödinger equation, Heisenberg equation, unitary transformations and all that stuff.
The representation of the Poincaré group is quite different from anything used in relativistic quantum theories that I know of.
A list of notable features:
- Position and momentum operators commute.
- Position operator transforms as a Newton-Wigner operator.
- Relativistic Hamiltonian mechanics is recovered.
- Not worked out in the paper, but the meaning of the Cassimir operators is highly obscure. Contrasting heavily with he central role they play in QM.
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