6 citations · 14 across the 8 of their papers we have counts for
8 papers
Logarithm of multivector in real 3D Clifford algebras
A. Acus, A. Dargys
Closed form expressions for a logarithm of general multivector (MV) in base-free form in real geometric algebras (GAs) Cl(p,q) are presented for all n=p+q=3. In contrast to logarit…
The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras
Arturas Acus, Adolfas Dargys
Formulas to calculate multivector exponentials in a base-free representation and in a orthonormal basis are presented for an arbitrary Clifford geometric algebra Cl(p,q). The formu…
Exponential and logarithm of multivector in low dimensional (n=p+q<3) Clifford algebras
Adolfas Dargys, Arturas Acus
Closed form expressions for a multivector exponential and logarithm are presented in real Clifford geometric algebras Cl(p,q)when n=p+q=1 (complex and hyperbolic numbers) and n=2 (…
A note on solution of by Clifford algebras
A. Dargys, A. Acus
The coordinate-free solutions of the multivector equation are discussed and presented for the Clifford algebras when .
Inverse of multivector: Beyond p+q=5 threshold
A. Acus, A. Dargys
The algorithm of finding inverse multivector (MV) numerically and symbolically is of paramount importance in the applied Clifford geometric algebra (GA) . The first gener…
Constitutive relations for electromagnetic field in a form of matrices derived from the geometric algebra
A. Dargys
To have a closed system, the Maxwell equations should be supplemented by constitutive relations which connect the primary electromagnetic fields $(\bE,\bB)$ with the secondary ones…
Calculation of quantum eigens with geometrical algebra rotors
Adolfas Dargys, Arturas Acus
A practical computation method to find the eigenvalues and eigenspinors of quantum mechanical Hamiltonian is presented. The method is based on reduction of the eigenvalue equation…
Closed form solution for a double quantum well using Gröbner basis
A. Acus, A. Dargys
Analytical expressions for spectrum, eigenfunctions and dipole matrix elements of a square double quantum well (DQW) are presented for a general case when the potential in differen…