An algebraic method for Schrödinger equations in quaternionic quantum mechanics

DOI10.1016/j.cpc.2008.01.038zbMath1196.81027OpenAlexW1990202535MaRDI QIDQ710230

Li Chen, Tong-Song Jiang

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2008.01.038

zbMATH Keywords

Schrödinger equationquaternionic quantum mechanicsquaternion matrixleast squares eigenproblem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (16)

An algebraic method for quaternion and complex least squares coneigen-problem in quantum mechanics ⋮ LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory ⋮ Hermitian tridiagonal solution with the least norm to quaternionic least squares problem ⋮ A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics ⋮ A structure-preserving algorithm for the quaternion Cholesky decomposition ⋮ Algebraic method for inequality constrained quaternion least squares problem ⋮ Algebraic techniques for Schrödinger equations in split quaternionic mechanics ⋮ Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications ⋮ Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\) ⋮ On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field ⋮ Dirac solutions for quaternionic potentials ⋮ On the power method for quaternion right eigenvalue problem ⋮ An algorithm based on QSVD for the quaternion equality constrained least squares problem ⋮ Arnoldi method for large quaternion right eigenvalue problem ⋮ Matrix iterative algorithms for least-squares problem in quaternionic quantum theory ⋮ Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

Cites Work

• Algebraic algorithms for least squares problem in quaternionic quantum theory
• Quaternionic quantum field theory
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics

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