How Long to Read Topologically Protected States in One-Dimensional Systems

How Long Does it Take to Read Topologically Protected States in One-Dimensional Systems?

It takes the average reader 2 hours and 1 minute to read Topologically Protected States in One-Dimensional Systems by Charles Fefferman

Assuming a reading speed of 250 words per minute. Learn more

Description

The authors study a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or ``Dirac points''. They then show that the introduction of an ``edge'', via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized ``edge states''. These bound states are associated with the topologically protected zero-energy mode of an asymptotic one-dimensional Dirac operator. The authors' model captures many aspects of the phenomenon of topologically protected edge states for two-dimensional bulk structures such as the honeycomb structure of graphene. The states the authors construct can be realized as highly robust TM-electromagnetic modes for a class of photonic waveguides with a phase-defect.

How long is Topologically Protected States in One-Dimensional Systems?

Topologically Protected States in One-Dimensional Systems by Charles Fefferman is 118 pages long, and a total of 30,444 words.

This makes it 40% the length of the average book. It also has 37% more words than the average book.

How Long Does it Take to Read Topologically Protected States in One-Dimensional Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 46 minutes to read Topologically Protected States in One-Dimensional Systems aloud.

What Reading Level is Topologically Protected States in One-Dimensional Systems?

Topologically Protected States in One-Dimensional Systems is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Topologically Protected States in One-Dimensional Systems?

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