Identification of localized structure in a nonlinear damped harmonic oscillator using Hamilton’s principle
نویسندگان
چکیده
منابع مشابه
Identification of localized structurein a nonlinear damped harmonic oscillatorusing Hamilton's principle
In the mid-seventeenth century Isaac Newton formalized the language necessary to describe the evolution of physical systems. Newton argued that the evolution of the state of a process can be described entirely in terms of the forces involved with the process. About a century and a half later, William Hamilton was able to establish the whole of Newtonian mechanics without ever using the concept ...
متن کاملStructure Function of a Damped Harmonic Oscillator
Abstract 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 utilize...
متن کاملDamped Quantum Harmonic Oscillator
In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger and Heisenberg representations of the Lindblad equation are given explicitly. On the bas...
متن کاملThe Structure Function of a Damped Harmonic Oscillator
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...
متن کاملQuantum Damped Harmonic Oscillator Revisited
In this paper we revisit the quantum damped harmonic oscillator and construct an interesting approximate solution in the operator algebra level. Namely, we first give the general solution to the Lindblad form (equation) and next construct an approximate solution to the full equation by use of it. Our method is a milestone to construct the general solution. In this paper we revisit dynamics of a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2010
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2010.3.349