hi all!(adsbygoogle = window.adsbygoogle || []).push({});

I’m trying to generalise the Caldeira-Leggett Hamiltonian (heat bath + particle) to the case of high velocities. Naturally, the multi-oscillator Hamiltonian needs to change and I have a gnawing suspicion that the multi-particle Hamiltonian is just the sum of single-particle hamiltonians with $$ H = \sqrt{P^2 + m^2} $$

In natural units ofc.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Relativistic dynamics in the Hamiltonian formulation

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**