Lecture Notes 16 - Special Theory of Relativity PDF Download

 Page 1


1 
16 
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1 
16 
2 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
Recapitulate 
• We discussed Energy-
Momentum Four Vector. 
• In the process we gave 
the new revolutionary 
definition of energy. 
• We gave new definition 
of momentum. 
Page 3


1 
16 
2 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
Recapitulate 
• We discussed Energy-
Momentum Four Vector. 
• In the process we gave 
the new revolutionary 
definition of energy. 
• We gave new definition 
of momentum. 
3 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
• We gave relationships 
between energy and 
momentum for a single 
particle. 
• We discussed the 
concept of zero rest 
mass particle. 
Page 4


1 
16 
2 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
Recapitulate 
• We discussed Energy-
Momentum Four Vector. 
• In the process we gave 
the new revolutionary 
definition of energy. 
• We gave new definition 
of momentum. 
3 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
• We gave relationships 
between energy and 
momentum for a single 
particle. 
• We discussed the 
concept of zero rest 
mass particle. 
4 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
The Old Example 
Completely inelastic 
collision in S frame. 
After collision Before collision 
0.6c 0.6c 
m m 
2m 
Page 5


1 
16 
2 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
Recapitulate 
• We discussed Energy-
Momentum Four Vector. 
• In the process we gave 
the new revolutionary 
definition of energy. 
• We gave new definition 
of momentum. 
3 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
• We gave relationships 
between energy and 
momentum for a single 
particle. 
• We discussed the 
concept of zero rest 
mass particle. 
4 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
The Old Example 
Completely inelastic 
collision in S frame. 
After collision Before collision 
0.6c 0.6c 
m m 
2m 
5 
Prof. Shiva Prasad, Department of Physics, IIT Bombay 
In S before 
collision 
?
?
? ? ?
?
? ? ? ? ?
??
1
2
1.25 0.6
0.75
1.25 0.6
0.75
x o u o
o
x o u o
o
p m u mc
mc
p m u mc
mc