How Long to Read Effective Hamiltonians for Constrained Quantum Systems

How Long Does it Take to Read Effective Hamiltonians for Constrained Quantum Systems?

It takes the average reader 1 hour and 23 minutes to read Effective Hamiltonians for Constrained Quantum Systems by Jakob Wachsmuth

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

Description

The authors consider the time-dependent Schrödinger equation on a Riemannian manifold with a potential that localizes a certain subspace of states close to a fixed submanifold . When the authors scale the potential in the directions normal to by a parameter , the solutions concentrate in an -neighborhood of . This situation occurs for example in quantum wave guides and for the motion of nuclei in electronic potential surfaces in quantum molecular dynamics. The authors derive an effective Schrödinger equation on the submanifold and show that its solutions, suitably lifted to , approximate the solutions of the original equation on up to errors of order at time . Furthermore, the authors prove that the eigenvalues of the corresponding effective Hamiltonian below a certain energy coincide up to errors of order with those of the full Hamiltonian under reasonable conditions.

How long is Effective Hamiltonians for Constrained Quantum Systems?

Effective Hamiltonians for Constrained Quantum Systems by Jakob Wachsmuth is 83 pages long, and a total of 20,999 words.

This makes it 28% the length of the average book. It also has 26% more words than the average book.

How Long Does it Take to Read Effective Hamiltonians for Constrained Quantum Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 54 minutes to read Effective Hamiltonians for Constrained Quantum Systems aloud.

What Reading Level is Effective Hamiltonians for Constrained Quantum Systems?

Effective Hamiltonians for Constrained Quantum 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 Effective Hamiltonians for Constrained Quantum Systems?

Effective Hamiltonians for Constrained Quantum Systems by Jakob Wachsmuth is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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