163 citations · 178 across the 18 of their papers we have counts for
6 papers · 1 filter
Spin Operators, Pauli Group, Commutators, Anti-Commutators, Kronecker Product and Applications
Willi-Hans Steeb, Yorick Hardy
Pauli spin matrices, Pauli group, commutators, anti-commutators and the Kronecker product are studied. Applications to eigenvalue problems, exponential functions of such matrices,…
Exponential of a Matrix, a Nonlinear Problem and Quantum Gates
Willi-Hans Steeb, Yorick Hardy
We describe solutions of the matrix equation , where . Applications in quantum computing are given. Both normal and nonnormal matrices are stud…
Majorana Fermions on a Lattice and a Matrix Problem
Yorick Hardy, Willi-Hans Steeb
We investigate matrix problems arising in the study of Majorana Fermions on a lattice.
An Eigenvalue Problem for a Fermi System and Lie Algebras
Willi-Hans Steeb, Yorick Hardy
We study a Fermi Hamilton operator which does not commute with the number operator . The eigenvalue problem and the Schrödinger equation is solved. Entanglement is…
Exceptional Points, Nonnormal Matrices, Hierarchy of Spin Matrices and an Eigenvalue Problem
Willi-Hans Steeb, Yorick Hardy
Exceptional points of a class of non-hermitian Hamilton operators of the form are studied, where and are hermitian operat…
Spin-Hamilton Operator, Graviton-Photon Coupling and an Eigenvalue Problem
Yorick Hardy, Willi-Hans Steeb
We solve exactly the eigenvalue problem for a spin Hamilton operator describing graviton-photon coupling. Entanglement of the eigenstates are also studied. Other spin-coupled Hamil…