\magnification=\magstep2

$$
{\vec{p}} \quad = \quad { m \vec{v} }
$$

$$
{\vec{p}} \quad = \quad { \gamma m \vec{v} }
$$

$$
p \quad = \quad { \gamma m v }
$$

$$
{{p} \over {m}}  \quad = \quad { \gamma  v }
$$

$$
Q  \quad \equiv \quad { {{p} \over {m}}  }
$$

$$
{ \gamma  v } \quad = \quad Q
$$

$$
{ {\gamma}^2  v^2 } \quad = \quad Q^2
$$

$$
{  { \left ( { {1} \over {1 - {v^2}/{c^2} } } \right ) }  v^2 } \quad = \quad Q^2
$$

$$
{ v^2 } \quad = \quad { ( {1 - {v^2}/{c^2} } )   Q^2 }
$$

$$
{ v^2 } \quad = \quad { Q^2 - {v^2} \left ( { {Q^2} \over {c^2} } \right ) }
$$

$$
{ { v^2 } + {v^2} \left ( { {Q^2} \over {c^2} } \right )  }
       \quad = \quad { Q^2 }
$$

$$
{ { v^2 } { \left ( 1 + { {Q^2} \over {c^2} }  \right ) } }
       \quad = \quad { Q^2 }
$$

$$
{ { v^2 } }
       \quad = \quad {   { Q^2 }\over{ 1 + { {Q^2} \over {c^2} }  } }
$$

$$
{ { v } }
       \quad = \quad { \sqrt {   
                { {(p/m)}^2 }\over{ \left ( {1 + {{ {(p/m)}^2} \over {c^2}} } \right ) } } }
$$


$$
p \quad \simeq \quad { \gamma m c }
$$

$$
\eqalign{
p \quad &\simeq \quad { \gamma m c } \cr
E \quad &= \quad { \gamma m c^2 } \cr
}
$$

$$
\eqalign{
p c \quad &\simeq \quad { \gamma m c^2 } \quad = \quad E \cr
p \quad &\simeq \quad {{E}\over{c}} \cr
}
$$

$$
\eqalign{
{\rm E } \quad &= \quad ({\rm rest\ energy}) 
            \thinspace + \thinspace ({\rm kinetic\ energy}) \cr
                &= \quad \quad (1) m c^2  \quad\quad + \quad 
                    (\gamma - 1) m c^2  \cr
}
$$

$$
p \quad = \quad {{E}\over{c}} 
$$

$$
E \quad = \quad h \nu \quad = \quad h {{c}\over{\lambda}}
$$


\bye
