Quantum Mechanics and General Relativity: Understanding H Y = E Y and T Y = G Y

[Rothiemurchus]

Generally we write H Y = E Y in quantum mechanics.

Would it make any sense to use T ( stress-energy tensor) from general relativity and G (curvature) to write :

T Y = G Y

 

[bd1976]

T Y = G Y

chuckle

 

[humanino]

What would you call Y in that case ?

 

[nrqed]

Generally we write H Y = E Y in quantum mechanics.

Would it make any sense to use T ( stress-energy tensor) from general relativity and G (curvature) to write :

T Y = G Y

Well, this is not what people do, no. Because G already contains derivatives of the metric, so T=G is already a differential equation. So it's the metric itself which is treated as a quantum field (so roughly speaking, it is treated like the psi of qm) and the equation is kept as T=G.

Pat