Question

How do we form the generator of translations in quantum mechanics in curved spacetime?

Answer 1

Since the generators of translations in non-relativistic QM form an Abelian group, I thought that in curved spacetime they might form a non-Abelian group. ...

Answer 2

Quantum mechanics predict (statistical) frequencies in which there two phase which are State A and State which helped in changing power (In Superposition) . it's all terms involved in Quantum mechanics.


Therefore,

Yes, the generator of translations in quantum mechanics in curved spacetime.


Thanks!!!