1. 20170234 Park Gunsu 20170368 An Daehyun 20180182 Kim Haram
Unruh Effect
Park Gunsu
An Daehyun
Kim Haram

2. Intro INERTIAL REFERENCE FRAME!
𝑑 𝜏 2 =𝑑 𝑡 2 − 𝐻 −2 cosh 2 𝐻𝑡 (𝑑 𝜉 2 + sin 2 𝜉 𝑑 Ω 2 )
𝑑 𝜏 2 =𝑑 𝑡 2 − exp 2𝐻𝑡 (𝑑 𝑟 2 + 𝑟 2 𝑑 Ω 2 )
𝑑 𝜏 2 =𝑑 𝑡 2 − 𝐻 −2 sinh 2 𝐻𝑡 (𝑑 𝜉 2 + sinh 2 𝜉 𝑑 Ω 2 )
𝑑 𝜏 2 = 1− 𝐻 2 𝑡 2 𝑑 𝑡 2 − 𝑑 𝑟 2 1− 𝐻 2 𝑡 2 − 𝑟 2 𝑑 Ω 2
INERTIAL REFERENCE FRAME!
Reference : Lecture note of PH471-Relativity-De Sitter space

3. Ordinary Minkowski Space
𝑑 𝜏 2 =𝑑 𝑡 2 −(𝑑 𝑥 2 +𝑑 𝑦 2 +𝑑 𝑧 2 )
Reference :

4. Constantly Accelerating Object
Reference :

5. Rindler Space 𝑥=𝜌 cosh 𝜎 𝑡=𝜌 sinℎ⁡(𝜎) 𝑑 𝜏 2 = 𝜌 2 𝑑 𝜎 2 −d 𝜌 2
World line of constantly accelerating object :
𝜌 = 1/𝑎
𝜎 = 𝑎𝜏
where 𝜏 is observer's proper time  
Reference:

6. Rindler Horizon
Reference :

7. Rindler Horizon Inertia from an asymmetric Casim ir effect
Reference : Inertia from an Asymmetric Casimir Effect(M.E. McCulloch,2013)

8. Hawking Radiation
Press Release: Violent Acceleration and the Event Horizon
Reference : Press Release: Violent Acceleration and the Event Horizon(Dr. Pisin Chen ,2000)

9. Warm Vacuum Expectation value of number operator of vacuum
<𝑁> = 2𝜋 𝑒 2𝜋𝜔/𝑎 −1 𝛿(0)
Similar form with Planck distribution
1 𝑒 ℏ𝜔 𝑘 𝐵 𝑇 −1
From this analogy, Unruh temperature becomes
𝑇= ℏ𝑎 2𝜋𝑐 𝑘 𝐵

10. Decay of Accelerating Particle
Reference : Decay of accelerated particles(Rainer Müller,1997)

11. Experiment to Test Unruh Effect
Reference :