課程名稱 |
古典與量子黑洞 Classical and Quantum Black Holes |
開課學期 |
112-1 |
授課對象 |
理學院 物理學研究所 |
授課教師 |
陳丕燊 |
課號 |
Phys7068 |
課程識別碼 |
222 M6200 |
班次 |
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學分 |
2.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期三3,4(10:20~12:10) |
上課地點 |
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備註 |
授課教室:次震宇宙館7S1室 總人數上限:15人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
Black hole, as an inevitable solution of Einstein’s General Relativity, has been known and studied for nearly a century within a limited community of experts. In the aftermath of LIGO’s 2016 discovery of gravitational waves induced by the merger of binary black holes, and with a series of Nobel prizes that recognize black hole related contributions, black holes have finally become a hot research topic. It is therefore timely to offer a course that introduces to students the basic knowledge of black holes as well as the related unresolved problems.
The recent exciting breakthroughs a la LIGO et al., nevertheless, are all within the domain of classical black holes. Hawking’s seminal discovery of the black hole evaporation connects General Relativity with quantum field theory. The possibility that Hawking evaporation may result in the loss of information has serious implications in theoretical physics, and this ‘information loss paradox’ has been plaguing the physics community for more than 40 years, yet the final resolution is still lacking. As an extreme form of matter, black holes are an ideal testbed for the development of quantum theory of gravity, which is arguably the final frontier of physics. |
課程目標 |
This one-semester course is intended to be an introduction to the vast and beautiful landscape of black hole physics. With the limited time, however, it cannot possibly go deep into all the exciting topics. Instead, we wish the course would be able to help students to decide whether this is an area to pursue for a graduate degree or even for a life-long career. This course is gearing at the first-year Master Degree level, but ambitious undergrads and curious senior graduate students are also welcome. |
課程要求 |
Required:
Classical mechanics, quantum mechanics, thermodynamics, statistical mechanics, classical electrodynamics
Desired:
General relativity, quantum field theory, cosmology |
預期每週課後學習時數 |
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Office Hours |
備註: by appointment |
指定閱讀 |
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參考書目 |
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評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Mid-term |
30% |
One-to-one oral exam. Present 3 papers on black hole related physics. The professor and the student will jointly select one of the three topics as the student’s research direction for the final report. |
2. |
Final-written report |
40% |
Written report on the extended research based on the selected topic. |
3. |
Final-oral presentation |
30% |
In-class oral exam (presented to all classmates), based on extended research |
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週次 |
日期 |
單元主題 |
第1週 |
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Introduction and Overview |
第2週 |
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General Relativity |
第3週 |
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Spherically Symmetric Black Holes |
第4週 |
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Gravitational Collapse to form Black Holes |
第5週 |
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Rotating Black Holes |
第6週 |
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Penrose Diagram |
第7週 |
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Wormholes |
第8週 |
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Classical and Quantum Fields near Black Holes |
第9週 |
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Black Hole Thermodynamics |
第10週 |
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Quantum Field Theory in Curved Space |
第11週 |
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Hawking Radiation – Canonical Interpretation |
第12週 |
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Hawking Radiation as Tunneling and as Instantons |
第13週 |
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Black Hole Remnants |
第14週 |
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Information Loss Paradox and Page Curve |
第15週 |
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Conjectures and Solutions to Information Loss Paradox – 1 |
第16週 |
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Conjectures and Solutions to Information Loss Paradox – 2 |
第17週 |
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Analog Black Holes |
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