Add to ORKGA restricted constant of motion, Lagrangian and Hamiltonian, for the harmonic oscillator with quadratic dissipation is deduced. The restriction comes from the consideration of the constant of motion for the velocity of the particle either for v ? 0 or for v < 0. A study is done about the implications that these restricted variables have on the specific heat of a thermodynamical system of oscillators with this dissipation, and on the quantization of this dissipative system. � 2001 Plenum Publishing Corporation
We use the phase space position-velocity (x, v) to deal with the statistical properties of velocity ...
The Lagrangian and the Generalized Linear Momentum are given in terms of a constant of motion for a ...
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives...
A restricted constant of motion, Lagrangian and Hamiltonian, for the harmonic oscillator with quadra...
A family of time-dependent constants of motion for the one-dimensional harmonic oscillator is derive...
Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in th...
For a one-dimensional motion, a constant of motion for a non-autonomous and linear system (position ...
The quantum theory of the damped harmonic oscillator has been a subject of continual investigation s...
It is generally considered that systems with friction are not part of Hamiltonian dynamics, but this...
For a one-dimensional dissipative system with position depending coefficient, two constant of motion...
For a free falling particle moving in a media which has quadratic velocity force effect on the parti...
A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negati...
Using Schrödinger's quantization method, the Hamiltonian of a particle moving in a one-dimensional d...
The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum di...
“The essence of scientific discovery relies on the fact that one looks at the same what everyone see...
We use the phase space position-velocity (x, v) to deal with the statistical properties of velocity ...
The Lagrangian and the Generalized Linear Momentum are given in terms of a constant of motion for a ...
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives...
A restricted constant of motion, Lagrangian and Hamiltonian, for the harmonic oscillator with quadra...
A family of time-dependent constants of motion for the one-dimensional harmonic oscillator is derive...
Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in th...
For a one-dimensional motion, a constant of motion for a non-autonomous and linear system (position ...
The quantum theory of the damped harmonic oscillator has been a subject of continual investigation s...
It is generally considered that systems with friction are not part of Hamiltonian dynamics, but this...
For a one-dimensional dissipative system with position depending coefficient, two constant of motion...
For a free falling particle moving in a media which has quadratic velocity force effect on the parti...
A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negati...
Using Schrödinger's quantization method, the Hamiltonian of a particle moving in a one-dimensional d...
The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum di...
“The essence of scientific discovery relies on the fact that one looks at the same what everyone see...
We use the phase space position-velocity (x, v) to deal with the statistical properties of velocity ...
The Lagrangian and the Generalized Linear Momentum are given in terms of a constant of motion for a ...
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives...