The one-dimensional Schrödinger equation with the singular harmonic oscillator is investigated. The Hermiticity of the operators related to observable physical quantities is used as a criterion to show that the attractive ...

The Fourier series method is used to solve the homogeneous equation governing the motion of the harmonic oscillator. It is shown that the general solution to the problem can be found in a surprisingly simple way for the ...

In order to search for nontrivial properties of the thermal conductivity with possible applications in the mechanism of heat flow control, this work address the detailed analytical study of a simple microscopic model. It ...