<i>Introduction to Quantum Mechanics</i>

Dicke, R. H.; Wittke, J. P.; Holladay, W. G.

doi:10.1063/1.3057610

Cited by 50 publications

(38 citation statements)

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“…To perform the numerical integration of the radial equation, we start by using the variable Φ defined by equation (38), which satisfies the equation…”

Section: Numerical Results: Asymptotically Flat Casementioning

confidence: 99%

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Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations

2006

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Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd number of dimensions (greater than five), allowing for a cosmological constant. We find a class of perturbations for which the equations of motion reduce to a single radial equation. In the asymptotically flat case we find no evidence of any instability. In the asymptotically anti-de Sitter case, we demonstrate the existence of a superradiant instability that sets in precisely when the angular velocity of the black hole exceeds the speed of light from the point of view of the conformal boundary. We suggest that the endpoint of the instability may be a stationary, nonaxisymmetric black hole.

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“…To perform the numerical integration of the radial equation, we start by using the variable Φ defined by equation (38), which satisfies the equation…”

Section: Numerical Results: Asymptotically Flat Casementioning

confidence: 99%

“…The standard connection formula (see, e.g. [38]) imply that, in the classically allowed region r 1 < r < r 2 , we have…”

Section: Wkb Analysismentioning

confidence: 99%

Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations

2006

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“…[19][20][21][22][23] We will identify each metaphor that makes up the metaphorical system, and present sample examples of its use by physicists. Additional examples may be found in Ref.…”

Section: Sample Of Physicist's Speech or Writingmentioning

confidence: 99%

“…The second source of data is a selection of QM textbooks. [19][20][21][22][23][24] A. The potential well metaphor…”

Section: Metaphors In Quantum Mechanicsmentioning

confidence: 99%

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Using conceptual metaphor and functional grammar to explore how language used in physics affects student learning

Brookes

Etkina

2007

Phys. Rev. ST Phys. Educ. Res.

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This paper introduces a theory about the role of language in learning physics. The theory is developed in the context of physics students and physicists talking and writing about the subject of quantum mechanics. We found that physicists' language encodes different varieties of analogical models through the use of grammar and conceptual metaphor. We hypothesize that students categorize concepts into ontological categories based on the grammatical structure of physicists' language. We also hypothesize that students overextend and misapply conceptual metaphors in physicists' speech and writing. Using our theory, we will show how, in some cases, we can explain student difficulties in quantum mechanics as difficulties with language.

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Basic Quantum Mechanics of Atomic Structures and Transitions

Series

1983

Quantum Metrology and Fundamental Physical Constants

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Introduction to Quantum Mechanics

Cited by 50 publications

References 0 publications

Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations

Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations

Using conceptual metaphor and functional grammar to explore how language used in physics affects student learning

Basic Quantum Mechanics of Atomic Structures and Transitions

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