Techniques of applied quantum mechanics

Firew Meka

Xia Li-xin

In quantum mechanics,we introduce the integration technique of ordered product of Boson operators.Where we present the properties of ordered product of operators and its applications,integration technique,and some applied examples.Specially,we present the teaching discussion on integration technique of ordered product of operators and its applications.

David J. Fernández C.

We review the higher‐order supersymmetric quantum mechanics (H‐SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first‐order SUSY transformations are used to derive in a simple way the higher‐order case. The second order technique is addressed directly, and through this approach unexpected possibilities for designing spectra are uncovered. The formalism is applied to the harmonic oscillator: the corresponding H‐SUSY partner Hamiltonians are ruled by polynomial Heisenberg algebras which allow a straight construction of the coherent states.

Erik Koch

M O'Connor

Shows how to obtain the kernel for arbitrary fermion sectors in supersymmetric quantum mechanics by applying standard coordinate space functional integral techniques to the coherent state fermionic path integral.

James E. House