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What is the physical interpretation of imposing the following constrain on a Hamiltonian:

[tex] Tr(\hat H^2)=2\omega ^2 [/tex]

where [itex]\omega[/itex] is a given constant. I am not very familiar with why is the trace of the hamiltonian there.

Thanks in advance,

Alex

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# I Physical interpretation of a Hamiltonian with a constraint

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