Shankar- Simultaneous Diagonalisation of Hermitian Matrices

[bugatti79]

Folks,

What is the idea or physical significance of simultaneous diagonalisation? I cannot think of anything other than playing a role in efficient computation algorithms?

Thanks

 

[Cadaei]

Folks,

What is the idea or physical significance of simultaneous diagonalisation? I cannot think of anything other than playing a role in efficient computation algorithms?

Thanks

If operators are simultaneously diagonalizable, then they commute -> no uncertainty relation.