Содержание
- 2. Postulates The laws of physics are the same in all inertial reference frames. No experiment can
- 3. The Lorentz transformations x´ = γ (x-vt) t´ = γ (t – vx/c2) γ = 1/
- 4. Length constriction O O´ V X1 x2 We have to calculate L´ at t1´= t2´=0 t1´
- 5. Time dilation O O´ V 2 light flashes At t1 = 0, and t2 X1 =
- 7. Скачать презентацию
Слайд 2
Postulates
The laws of physics are the same in all inertial reference
Postulates
The laws of physics are the same in all inertial reference
frames. No experiment can be perfomed to decide who in a set of inertial frames is moving and who is at rest.
The speed of light in empty space is the same in all inertial frames
The speed of light in empty space is the same in all inertial frames
Слайд 3
The Lorentz transformations
x´ = γ (x-vt)
t´ = γ (t –
The Lorentz transformations
x´ = γ (x-vt)
t´ = γ (t –
vx/c2)
γ = 1/ √(1-v2/c2)
y´= y z´= z
Vx ´=(Vx –V) /(1-VxV/c2)
γ = 1/ √(1-v2/c2)
y´= y z´= z
Vx ´=(Vx –V) /(1-VxV/c2)
x =γ (x´+vt´)
t = γ (t´ + vx´/c2)
γ = 1/ √(1-v2/c2)
y = y´ z = z´
Vx=(Vx´+ V) /(1+Vx ´V/c2)
Inertial frame at rest: O (x,y,z,t)
Inertial frame moving with velocity v: O´ (x´,y´,z´,t´)
Слайд 4
Length constriction
O
O´
V
X1 x2
We have to calculate L´ at t1´= t2´=0
Length constriction
O
O´
V
X1 x2
We have to calculate L´ at t1´= t2´=0
t1´ = γ (t 1 – vx1/c2)= 0
t 2´ = γ (t 2 – vx2/c2) = γ (t 2 – v L/ c2)=0
t1 =0 and t2 = v L/ c2
t 2´ = γ (t 2 – vx2/c2) = γ (t 2 – v L/ c2)=0
t1 =0 and t2 = v L/ c2
We measure L = X2 - X1
at t1 = t2 = 0
x1´ = γ (x1 - vt1) = 0
x2´ = γ (x2 - vt2)= γ ( L– v2L/c2) = γ L(1-v2/c2)= L / γ
L´ = x2´ - x1´ = L / γ
L
t1 = t1´ = 0
Слайд 5
Time dilation
O
O´
V
2 light flashes
At t1 = 0, and t2
X1 = X2
Time dilation
O
O´
V
2 light flashes
At t1 = 0, and t2
X1 = X2
= 0
t1´ = γ ( t 1 – V x1 / c2) = 0
t 2´ = γ (t 2 – Vx2/c2) = γ t 2
t1´- t2´= γ (t1 - t 2)
t1 = t1´ = 0