The Hamiltonian operator in the Cartesian coordinate system is determined as
where ex, e y, ez are the unit vectors of the Cartesian coordinate system. The operators grad, div, rot and ∆ are defined as follows:
Where f, F = (Fx, Fy, Fz) are the scalar and vector functions, (.,.) and [.,.] are the operations of the scalar and vector products, det A is the determinant of the matrix A.
The most important integral relationships of vector ...