Question
The orthonormal bases for a three-dimensional
Hilbert space is described by . The action of an operator Ô in this space is given by:
Obtain the matrix representation of this operator.
Answer :
Word Count : 230
To obtain the matrix representation of the operator \(\hat{O}\) in the given orthonormal basis \(\{\vert\phi_1\rangle, \vert\phi_2\rangle, \vert\phi_3\rangle\}\), we need to express the action of \(\hat{O}\) on each basis vector as a linear combination of the basis vectors. The coefficients of these linear combinations will form the __________ ________ ______ _________ ____ _____ _________ __________ ___ ________ __________.
_____ ______ ______ ______ _____ ________ ____ ___ _________ __________ _____ ______.
_______ ____ _________ __________ __________.
____ ____ ____ ____ ________ _________ ______ __________.
____ ______ ___ ____ ______ _______ ____ _________ _____ _________ ____ ___.
______ _______ _______ _____ ________ _____ _____ _______ __________ _____.
__________ _____ ________ __________ ____.
_____ _________ _________ _______ ________ __________ ________ _____ __________ ___.
_______ _________ ___ _______ ________ _______ ________ ______ _____ ___ ______ _________.
_____ _________ ____ _________ _______ _______ ____ __________.
___ ___ ________ __________ ___ ________ _________ __________ ________ __________ _______.
____ ____ _________ ______ _____.
__________ _____ __________ ___ _________ ______ ___ ___ _______ _____.
__________ ____ ______ ______ ________ __________ ______ ___ _______ ______.
______ ___ _______ _______ _________.
________ _____ ____ ______ _________ _________ ______.
_______ ____ ______ ___ _______ ______ ________ _____ ________ __________ ___ ____.
_____ ___ __________ ______ _____ _______ _________ _________ ___ _____ ________ ___.
_________ __________ ________ ____ ____ ______ _____ _________.
____ ___ _________ _______ __________ ___ ______ _________ _______.
___ _________.
Get Full Answer on WhatsApp
To obtain the matrix representation of the operator \(\hat{O}\) in the given orthonormal basis \(\{\vert\phi_1\rangle, \vert\phi_2\rangle, \vert\phi_3\rangle\}\), we need to express the action of \(\hat{O}\) on each basis vector as a linear combination of the basis vectors. The coefficients of these linear combinations will form the __________ ________ ______ _________ ____ _____ _________ __________ ___ ________ __________.
_____ ______ ______ ______ _____ ________ ____ ___ _________ __________ _____ ______.
_______ ____ _________ __________ __________.
____ ____ ____ ____ ________ _________ ______ __________.
____ ______ ___ ____ ______ _______ ____ _________ _____ _________ ____ ___.
______ _______ _______ _____ ________ _____ _____ _______ __________ _____.
__________ _____ ________ __________ ____.
_____ _________ _________ _______ ________ __________ ________ _____ __________ ___.
_______ _________ ___ _______ ________ _______ ________ ______ _____ ___ ______ _________.
_____ _________ ____ _________ _______ _______ ____ __________.
___ ___ ________ __________ ___ ________ _________ __________ ________ __________ _______.
____ ____ _________ ______ _____.
__________ _____ __________ ___ _________ ______ ___ ___ _______ _____.
__________ ____ ______ ______ ________ __________ ______ ___ _______ ______.
______ ___ _______ _______ _________.
________ _____ ____ ______ _________ _________ ______.
_______ ____ ______ ___ _______ ______ ________ _____ ________ __________ ___ ____.
_____ ___ __________ ______ _____ _______ _________ _________ ___ _____ ________ ___.
_________ __________ ________ ____ ____ ______ _____ _________.
____ ___ _________ _______ __________ ___ ______ _________ _______.
___ _________.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★