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Interaction hamiltonian - PowerPoint PPT Presentation

One particle states:

One particle states:

One particle states:. Wave Packets States. Heisenberg Picture. Combine the two eq. KG Equation. Dirac field and Lagrangian. The Dirac wavefunction is actually a field, though unobservable!. Dirac eq. can be derived from the following Lagrangian. Negative energy!. Anti-commutator!.

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853 views • 69 slides
Now add interactions :

Now add interactions :

Free scalar particle. Now add interactions :. meaning anything not quadratic in fields. For example, we can add. to Klein-Gordon Lagrangian . . These terms will add the following non-linear terms to the KG equation:. Superposition Law is broken by these nonlinear terms. .

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799 views • 62 slides
Now add interactions:

Now add interactions:

Now add interactions:. It means anything not quadratic in fields and derivatives. For example, we can add. to our Klein-Gordon or Dirac Lagrangian. These terms will add non-linear terms to the KG equation. Interaction Hamiltonian:. Now we can study the time evolution. Schrodinger Picture.

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690 views • 59 slides
Now add interactions:

Now add interactions:

Now add interactions:. It means anything not quadratic in fields and derivatives. For example, we can add. to our Klein-Gordon or Dirac Lagrangian. These terms will add non-linear terms to the KG equation. Interaction Hamiltonian:. Now we can study the time evolution. Schrodinger Picture.

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599 views • 59 slides
Igor Aleiner (Columbia)

Igor Aleiner (Columbia)

Theory of Quantum Dots as Zero-dimensional Metallic Systems. Igor Aleiner (Columbia). Collaborators: B.L.Altshuler (Princeton) P.W.Brouwer (Cornell) V.I.Falko (Lancaster, UK) L.I. Glazman (Minnesota) I.L. Kurland (Princeton). Physics of the Microworld Conference, Oct. 16 (2004).

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634 views • 36 slides
In Collaboration With Behzad Lari, Ali Saif M Hassan

In Collaboration With Behzad Lari, Ali Saif M Hassan

In Collaboration With Behzad Lari, Ali Saif M Hassan. What is the optimal way to entangle a multi-partite quantum system by exploiting the interaction between various parts? (Given a system, interaction between its parts is also given).

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506 views • 35 slides

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