It is shown that a Lagrangian exists for the nonrelativistic version of the Abraham{Lorentz{Dirac equation. The method used is an easy modiication of the procedure used by Levi Civita a century ago to construct a Lagrangian for the damped harmonic oscillator. It is then shown how a trivial adaptation of the method allows also to give a Lagrangian for the corresponding relativistic equation in t...

Following the Caldeira-Leggett approach to describe dissipative quantum systems the structure function for a harmonic oscillator with Ohmic dissipation is evaluated by an analytic continuation from euclidean to real time. The analytic properties of the Fourier transform of the structure function with respect to the energy transfer (the “characteristic function”) are studied and utilized. In the...

Yu-xi Liu, Șahin K. Özdemir, Adam Miranowicz, and Nobuyuki Imoto The Graduate University for Advanced Studies (SOKENDAI), Shonan Village, Hayama, Kanagawa 240-0193, Japan Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi 351-0198, Japan SORST Research Team for Interacting Career Electronics, Hayama, Kanagawa 240-0193, Japan CREST Research Team for Photo...

It is demonstrated that the general theory of Casimir and van der Waals forces describes interaction-induced equilibrium thermodynamic potentials damped harmonic oscillator bilinearly coupled to environment. An extended model for a suggested along lines forces, corresponding quantities obtained. While original involves heat bath consisting large number free oscillators having infinitesimal damp...

We obtain a class of oscillation modes with damping and absorption that are connected to the classical harmonic oscillator modes through the supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrödinger equations in particle physics. A single coupling parameter characterizes both the damping and absorption features of these modes, which ...

We study the canonical quantization of the damped harmonic oscillator by resorting to the realization of the q-deformation of the Wheyl-Heisenberg algebra (q-WH) in terms of finite difference operators. We relate the damped oscillator hamiltonian to the q-WH algebra and to the squeezing generator of coherent states theory. We also show that the q-WH algebra is the natural candidate to study the...

The GP2 peptide is derived from the Human Epidermal growth factor Receptor 2 (HER2/nue), a marker protein for breast cancer present in saliva. In this paper we study the temperature dependent behavior of hydrated GP2 at terahertz frequencies and find that the peptide undergoes a dynamic transition between 200 and 220 K. By fitting suitable molecular models to the frequency response we determine...

in this paper, we present a comparative study between the adomian decomposition method and two classical well-known runge-kutta and central difference methods for the solution of damped forced oscillator problem. we show that the adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply.

For the generalized master equations derived by Karrlein and Grabert for the microscopic model of a damped harmonic oscillator, the conditions for purity of states are written, in particular for different initial conditions and different types of damping, including Ohmic, Drude and weak coupling cases, Agarwal and Weidlich-Haake models. It is shown that the states which remain pure are the sque...

There is reason to believe that at small scales and low temperatures, quantum mechanical effects will play a role in dissipative systems which arise in solid state physics. References to and a brief discussion of various approaches to the quantisation of the damped harmonic oscillator, can be found in [1]. Although there exist successful and physically intuitive ways to deal with the quantisati...