query: Moving from eigenstate basis of a Hamiltonian back to operator basis
positive_passages.docid: 150704
positive_passages.text: Do the ladder operators $a$ and $a^\dagger$ form a complete algebra basis?
negative_passages.docid: 13160
negative_passages.text: Can arbitrary matrices be decomposed using the Pauli basis?
negative_passages.docid: 59235
negative_passages.text: Finding eigenvalues of a differential operator
negative_passages.docid: 61924
negative_passages.text: Hilbert space in quantum mechanics
negative_passages.docid: 92744
negative_passages.text: These two operators commute...but their eigenvectors aren't all the same. Why?
negative_passages.docid: 1048
negative_passages.text: Discreteness of set of energy eigenvalues
negative_passages.docid: 602
negative_passages.text: How get eigenvectors without phase jump?
negative_passages.docid: 13137
negative_passages.text: Why are Hermitian operators linked to observables?
negative_passages.docid: 96
negative_passages.text: How to interpret a quantum circuit as a matrix?
negative_passages.docid: 28584
negative_passages.text: Eigenvalues and eigenspaces of AB
negative_passages.docid: 158526
negative_passages.text: Finding a "Principle of Least Action" equivalent statement for Hamiltonian Mechanics
negative_passages.docid: 116908
negative_passages.text: Basis for set of nxn matrices with trace = 0
negative_passages.docid: 101550
negative_passages.text: How to change coordinates of a differential operator?
negative_passages.docid: 141376
negative_passages.text: Why the dipole interaction term in the Hamiltonian has all diagonal elements to be zero in the energy eigenbasis?
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 11862
negative_passages.text: Reconstruction of "wavefunction" phases from $|\psi(x)|$ and $|\tilde \psi(p)|$
negative_passages.docid: 5506
negative_passages.text: Perturbation property of Orthonormal basis for Hilbert space