Algebraic techniques for Schrödinger equations in split quaternionic mechanics
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Publication:1732483
DOI10.1016/j.camwa.2017.12.006zbMath1409.82007OpenAlexW2794298317MaRDI QIDQ1732483
Zhaozhong Zhang, Zi-Wu Jiang, Tong-Song Jiang
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.12.006
real representationright eigenvaluesplit quaternionic mechanicssplit quaternion matrixsplit quaternionic Schrödinger equation
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Cites Work
- Unnamed Item
- Algebraic methods for least squares problem in split quaternionic mechanics
- An algebraic method for Schrödinger equations in quaternionic quantum mechanics
- Some algebraic and analytical properties of coquaternion algebra
- The roots of a split quaternion
- Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics
- Non-Hermitian Quantum Mechanics
- On complexified mechanics and coquaternions
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42
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