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I want to rotate quaternions. To do that, I use a "matrix exponential function," which extends the variable inside an exponential function to a matrix. Matrix exponential functions are calculated ...

Calculating the ground state energy of complex molecules remains a significant challenge in quantum chemistry, often requiring computational resources that quickly become intractable. Samuele Watson, ...

## **Exact Diagonalization (ED) of the Transverse-Field Ising model in 1D:** Here, we attempt to calculate the ground state and the ground state energy of the 1D Transverse-field Ising Model with ...

Abstract: This paper addresses the problem of Joint approximate diagonalization (JAD) of a set of given matrices and proposes a new efficient iterative algorithm for JAD that based on the ...

(This is the output from ChatGPT 5 as is. Thumbnail image suggestions are also included as is.) Some people might think of matrix diagonalization as "just a calculation technique." But in reality, it ...

Abstract: The stator winding of multi-phase machines can be designed according to different schemes, which differ by either the number or the spatial arrangement of phases. For control and analysis ...