Questions tagged [fermions]

Question 1

A system made of an even number of fermions behaves like a boson in terms of quantum statistics. One example for that would be the hydrogen atom consisting of one proton (spin-1/2) and one electron (...

Question 2

I want to see the entropy of a Fermi gas vanish at $T=0$ without using the density matrix as some answers have utilized online. The grand potential for fermi gas (Second Eq. in Sec. 9.4 on page 92) is ...

Question 3

I'm having this confusion because in my neutrino physics course, they kept speaking about left handed neutrinos. At the field level, it's obvious or just definition that a Dirac field $\Psi$ contains $...

Question 4

In quantum field theory, the path integral for a bosonic field has a very intuitive interpretation as a "sum over all possible field configurations." To make this concrete, let's consider a ...

Question 5

In the Standard Model, fermion masses arise from Yukawa couplings after electroweak symmetry breaking, but these couplings are free parameters. They reproduce observed masses yet offer no theoretical ...

Question 6

I am confused about a derivation for the behaviour of electrons in a conductor with binary collisions, and scattering due to static impurities. The derivation begins as follows: The distribution ...

Question 7

I'm trying to define a Particle-Hole symmetry operator in the CAR Algebra in a general way. I am finding very confusing to understand weather it should be treated as a linear or antilinear operator ...

Question 8

Using Peskin+Schroeder as a reference. Bear with me, there may be multiple mistakes in my discussion. But the underlying question should be clear - it's really just the title. By analyzing the ...

Question 9

For a 2D electron gas of spinless fermions we can easily compute the density profile $n(x,y)$. If now I add a series of square barriers along only one direction, say $V(y)$, I can factories my density ...

Question 10

I'm trying to learn physics on my own but I am a bit stuck on the identical particles unit in the Griffiths textbook, specifically trying to derive how the Pauli exclusion principle happens. From the ...

Question 11

I am trying to understand how one gets the residue of the fermion propagator and what its significance is. I suppose that a distinction between the field in the free theory and in the interacting ...

Question 12

I've realised that this question is a duplicate of Proof involving exponential of anticommuting operators, where one can find some answer. I'm struggling to show the equations mentionned in the title. ...

Question 13

Both models assume a finite potential well with short range as that of the dimension of the nucleus. Thus both predict discrete energy levels. A set of energies for protons and another set for ...

Question 14

I have a conceptual question regarding the implicit assumption, which appears in QFT books. When we deal with Dirac bilinears, e.g. $\bar\psi(x)\psi(x)$, and perform some manipulations requiring ...

Question 15

I am analyzing page 70 of Peskin & Schroeder concerning the complex conjugate, where in Eq. (3.145) they write the following: \begin{equation} \begin{split} -i\gamma^2 \int \frac{d^3p}{(2\pi)^3} \...

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Questions tagged [fermions]

How close do two fermions need to be for them to behave like a boson?

How to see entropy vanishes for fermionic gas at $T = 0$ from the grand potential?

How is left-handed fermion state defined in QFT?

How does the Berezin integral for fermions represent a "sum over all configurations"?

Can the right-handed hypercharge participate in the fermion mass-generation mechanism?

Confused about derivation - electron gas with binary collisions and impurities scattering

Particle-Hole symmetry in the CAR Algebra

What are the units of a state in QFT?

Use of Thomas-Fermi approximation for 2D fermionic gas with series of potential barriers

Trying to understand Pauli Exclusion Principle (Griffiths)

QED renomalization: Residue of the fermion propagator [duplicate]

Creutz, "Quarks, Gluons And Lattices", equations (5.31), (5.32). Struggling to prove them [duplicate]

What is the difference between the Fermi-gas model and the shell model of a nucleus?

Minus sign of anticommuting Dirac fields

Complex conjugate of a fermion creation operator

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