- #1
pellman
- 684
- 5
Quantum mechanically the generator of time translations is the Hamiltonian H or the energy. That is, [tex] e^{-iHt'} | \Psi (t) \rangle = | \Psi (t+t') \rangle [/tex]
And the generator of rotations is the angular momentum. The generator of spatial translations is momentum.
What is the generator of boosts (change to another inertial frame)? Is there a classical quantity it corresponds to?
The operator I am asking about is denoted by [itex]C_j[/itex] here https://en.wikipedia.org/wiki/Galilean_transformation#Origin_in_group_contraction
And the generator of rotations is the angular momentum. The generator of spatial translations is momentum.
What is the generator of boosts (change to another inertial frame)? Is there a classical quantity it corresponds to?
The operator I am asking about is denoted by [itex]C_j[/itex] here https://en.wikipedia.org/wiki/Galilean_transformation#Origin_in_group_contraction