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Superradiance: Classical, Relativistic and Quantum Aspects
General Relativity and Quantum Cosmology · Submitted 13 Apr 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We shall explore many examples of such systems, and, more importantly, we shall also see how, apart from the interest in its own right, superradiance is related to a number of important current research physical issues.
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The abstract, sentence by sentence
Several physical systems can be treated as a scattering process, and, for these processes, a natural observed quantity arises: the ratio between the reflected and incident intensities, known as the reflection coefficient. This dissertation is concerned with the phenomenon known as superradiance, that is, when this coefficient is larger than unity. We shall explore many examples of such systems, and, more importantly, we shall also see how, apart from the interest in its own right, superradiance is related to a number of important current research physical issues. We begin with a small survey of important results on chapter one. On chapter two, we establish a general criteria to decide whether or not superradiant scattering is observed based on the linear, second order, homogeneous ordinary differential equation (ODE) or linear, first order homogeneous systems of ODEs which describes the process and we shall give an example of system in which superradiance is observed. On chapter three, we focus on spinning black hole superradiance, we shall describe how one can compute explicitly the reflection coefficient for different spin waves. Chapter four is dedicated to the relations with thermodynamics. We develop what is meant by black hole thermodynamics, particularly the so-called first and second law of black hole thermodynamics, and apply them in the context of superradiance, so we can generalise some of the results from chapter three to more general black holes. Finally, on chapter five, we explore many of the quantum aspects of superradiance, including the relation with the Klein paradox, and the quantum version of black hole superradiance, for the later we will explain briefly how one usually quantise fields in curved space-time. A further connection with thermodynamics is explored. Thorough all this text we analyse the connection between superradiance and spin and statistics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Several physical systems can be treated as a scattering process, and, for these processes, a natural observed quantity arises: the ratio between the reflected and incident intensities, known as the reflection coefficient. | background 1.00 | 0.07 | 0.03 | asserted 0.94 |
| s1 | This dissertation is concerned with the phenomenon known as superradiance, that is, when this coefficient is larger than unity. | background 0.62 | 0.06 | 0.13 | asserted 0.99 |
| s2 | We shall explore many examples of such systems, and, more importantly, we shall also see how, apart from the interest in its own right, superradiance is related to a number of important current research physical issues. | contribution 0.92 | 0.36 | 0.10 | asserted 0.95 |
| s3 | We begin with a small survey of important results on chapter one. | background 0.46 | 0.24 | 0.02 | asserted 0.62 |
| s4 | On chapter two, we establish a general criteria to decide whether or not superradiant scattering is observed based on the linear, second order, homogeneous ordinary differential equation (ODE) or linear, first order homogeneous systems of ODEs which describes the process and we shall give an example of system in which superradiance is observed. | contribution 0.79 | 0.88 | 0.07 | asserted 1.00 |
| s5 | On chapter three, we focus on spinning black hole superradiance, we shall describe how one can compute explicitly the reflection coefficient for different spin waves. | contribution 0.82 | 0.63 | 0.04 | asserted 0.93 |
| s6 | Chapter four is dedicated to the relations with thermodynamics. | contribution 0.88 | 0.31 | 0.03 | asserted 0.86 |
| s7 | We develop what is meant by black hole thermodynamics, particularly the so-called first and second law of black hole thermodynamics, and apply them in the context of superradiance, so we can generalise some of the results from chapter three to more general black holes. | contribution 0.77 | 0.78 | 0.07 | asserted 0.99 |
| s8 | Finally, on chapter five, we explore many of the quantum aspects of superradiance, including the relation with the Klein paradox, and the quantum version of black hole superradiance, for the later we will explain briefly how one usually quantise fields in curved space-time. | contribution 0.96 | 0.62 | 0.05 | asserted 0.98 |
| s9 | A further connection with thermodynamics is explored. | contribution 0.99 | 0.75 | 0.05 | asserted 0.91 |
| s10 | Thorough all this text we analyse the connection between superradiance and spin and statistics. | contribution 0.96 | 0.76 | 0.10 | asserted 0.98 |
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The paper
Original abstract
Several physical systems can be treated as a scattering process, and, for these processes, a natural observed quantity arises: the ratio between the reflected and incident intensities, known as the reflection coefficient. This dissertation is concerned with the phenomenon known as superradiance, that is, when this coefficient is larger than unity. We shall explore many examples of such systems, and, more importantly, we shall also see how, apart from the interest in its own right, superradiance is related to a number of important current research physical issues. We begin with a small survey of important results on chapter one. On chapter two, we establish a general criteria to decide whether or not superradiant scattering is observed based on the linear, second order, homogeneous ordinary differential equation (ODE) or linear, first order homogeneous systems of ODEs which describes the process and we shall give an example of system in which superradiance is observed. On chapter three, we focus on spinning black hole superradiance, we shall describe how one can compute explicitly the reflection coefficient for different spin waves. Chapter four is dedicated to the relations with thermodynamics. We develop what is meant by black hole thermodynamics, particularly the so-called first and second law of black hole thermodynamics, and apply them in the context of superradiance, so we can generalise some of the results from chapter three to more general black holes. Finally, on chapter five, we explore many of the quantum aspects of superradiance, including the relation with the Klein paradox, and the quantum version of black hole superradiance, for the later we will explain briefly how one usually quantise fields in curved space-time. A further connection with thermodynamics is explored. Thorough all this text we analyse the connection between superradiance and spin and statistics.
Human review
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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This phenomenon occurs in various branches of physics such as in quantum mechanics [ref] and relativity [ref] , see [ref] for a review.
Black Hole Superradiance in f(R) Gravities · Introduction · 1.00
What it cites · 2 sentences without a confident label
Builds on 1 paper
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However, we shall generalise a partial result from [ref] for a system of linear ODEs.
Generalised superradiant scattering · Criteria · 1.00
Uses the method or tool of 1 paper
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[ref] described such a procedure for systems governed by a second order linear homogeneous differential equation, to decide whether or not superradiance is present.
Generalised superradiant scattering · Criteria · 0.86
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