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| <math> | | <math> |
| \mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \mathbf{\dot{r}}_{i}^{2} | | \mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \mathbf{r}_{i}^{2} |
| </math> | | </math> |
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Revision as of 14:10, 29 May 2019
In the approach by Nosé and Hoover[1][2][3] an extra degree of freedom is introduced in the Hamiltonian. The heat bath is considered as an integral part of the system and has a fictious coordinate 
which is introduced into the Lagrangian of the system. This Lagrangian for an 
is written as
References
