Here is the definition of the Noether momentum in my script.
But$$I = \left.\frac{\partial L}{\partial \dot{x}} \frac{d x}{d \alpha} \right|_{\alpha=0} = \frac{\partial L}{\partial \dot{x}} = m \dot{x} = p_x.$$ But I don't understand exactly what this vertical line with $\alpha=0$ means, I would have interpreted it as $\frac{dx}{d0}$ now.
Here is the definition of the Noether momentum in my script.
But I don't understand exactly what this vertical line with $\alpha=0$ means, I would have interpreted it as $\frac{dx}{d0}$ now.
Here is the definition of the Noether momentum in my script.
$$I = \left.\frac{\partial L}{\partial \dot{x}} \frac{d x}{d \alpha} \right|_{\alpha=0} = \frac{\partial L}{\partial \dot{x}} = m \dot{x} = p_x.$$ But I don't understand exactly what this vertical line with $\alpha=0$ means, I would have interpreted it as $\frac{dx}{d0}$ now.
Here is the definition of the Noether momentum in my script.
But I don't understand exactly what this vertical line with $\alpha=0$ means, I would have interpreted it as $\frac{dx}{d0}$ now.
