Tagged Questions

A fully relativistic (Lorentz covariant) description, first put forward by Paul Dirac in 1928, of the first quantized, spin one half fermion with nonzero mass. Physical notions to do with this equation include the Dirac sea, Dirac hole theory, the Klein Paradox and the fine structure of the Hydrogen ...

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Wave packets in Dirac equation

Gaussian wave packets remain Gaussians after evolution in case of the Schrodinger equation. It is a very useful property of these wave packets. I don't think the same is true for a Gaussian wave ...
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How to measure the Fermi velocity in Dirac materials?

Suppose that one has a Dirac material (e.g., graphene), i.e., a system where there exists a number $N$ of identical Dirac cones (linear dispersion) at the Fermi energy $E_F=0$. How can one measure ...
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Questions regarding the Feynman-Stueckelberg interpretaion

I am studying for an introductory particle physics exam, and I am having some problems with the Feynman-Stueckelberg interpretation of antiparticle states. Background: The course was being thaught ...
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A question on the Dirac equation

In Quarks and Leptons by Halzen and Martin p. 105 it says: The bonus embodied in the Dirac equation is the extra twofold degeneracy. This means that there must be another observable which commutes ...
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Dirac equation in the presence of a defect

The 1D Dirac equation in the presence of a defect is described by a position dependent mass term known as a "kink" or "soliton". It is sign changing and tends to a constant at positive and negative ...
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Hamiltonian describing a 3D Weyl point: seperability

A 3D analogue of a Dirac point is a Weyl point, with first quantized Hamiltonian $H = \sigma_x p_x + \sigma_y p_y + \sigma_z p_z$ where $\sigma_i$ are Pauli's matrices and $p_i$ are momentum ...
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Hermiticity of Dirac operator in curved spacetime

The Dirac Lagrangian in curved spacetime is usually given by $$\mathcal{L} = i\bar{\Psi}\gamma^a e^{\mu}_a(\partial_\mu + \frac{1}{4}\omega_{\mu bc}\gamma^b\gamma^c)\Psi$$ ...
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The chirality of (2+1)D Dirac equation

Are there any definitions about the chirality of (2+1)D Dirac equation? For the (3+1)D Dirac equation, the Dirac field can be written as the sum of left- and right-hand Weyl field. Can this be reduced ...
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Wrong sign anticommutation relation for the Dirac field?

Consider the Dirac Lagrangian $$\mathcal{L}=\psi ^{\dagger }\gamma ^{0}\left( \mathrm{i}\gamma ^{\rho }\partial _{\rho }-m\right) \psi .$$ The conjugate momenta to $\psi ^{a}$ are defined, as usual, ...
I have read, that if you have a Dirac spinor $$\psi = \begin{pmatrix} \phi_R\\ \phi_L \end{pmatrix}$$ that you can apply a Lorentz boost along the $z$-direction with ...