Feynman Lecture Vol III Ch. 8 Question -- Heisenberg matrix picture

[kq6up]

Is the Hamiltonian matrix that is constructed in Ch 8 of the Feynman lectures the Heisenberg matrix picture, or is it something else? I am just curious.

Thanks,
Chris Maness

 

[drvrm]

Is the Hamiltonian matrix that is constructed in Ch 8 of the Feynman lectures the Heisenberg matrix picture, or is it something else? I am just curious.

Thanks,
Chris Maness

The Heisenberg picture or representation is a formulation of in which the operators and others incorporate a dependency on time, but the state vectors are time-independent, an arbitrary fixed basis rigidly underlying the theory.

It stands in contrast to the schrodinger representation in which the operators are constant, instead, and the states evolve in time. The Heisenberg picture is the formulation of matrix mechanics in an arbitrary basis, in which the Hamiltonian is not necessarily diagonal.

the reference in ch-8 of Feynman lectures is just an intro to matrix representation of Hamiltonian and does not deal in detail the Heisenberg representation.

 

[kq6up]

Thank you. Perfect answer.

Regards,
Chris KQ6UP