Quiz
Quantum electrodynamics
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Perguntas do quiz (11)
1Given the Schrödinger equation,
\( i\partial_t |\psi\rangle = H|\psi\rangle,\)
which of the following is true?- AThe Schrödinger equation is a purely nonrelativistic equation, as it is not possible to find a relativistic Hamiltonian
- BThe Schrödinger equation can be made relativistic by chosing a relativistic Hamiltonian
- CThe Schrödinger equation cannot be Lorentz covariant because of its special role of time
- DThe Schrödinger equation requires that the time development of \(\psi\) follows a hermitian operation
2What is the problem with the Klein-Gordon equation? Why can't we interpret it as a relativistic single particle equation?
- AThe probability density is not positive definite
- BIt is a linear equation, we wan't a nonlinear one
- CThe Klein-Gordon equation is not relativistic
- DThe Klein-Gordon equation has no real solutions
3Which relation do the Dirac \(\gamma\)-matrices satisfy?
- A\([\gamma^\mu,\gamma^\nu]=2g^{\mu\nu}\)
- B\([\gamma^\mu,\gamma^\nu]=g^{\mu\nu}\)
- C\(\{\gamma^\mu,\gamma^\nu\}=2g^{\mu\nu}\)
- D\(\{\gamma^\mu,\gamma^\nu\}=g^{\mu\nu}\)
- E\(\{\gamma^\mu,\gamma^\nu\}=\delta^{\mu\nu}\)
- F\([\gamma^\mu,\gamma^\nu]=\delta^{\mu\nu}\)
4What properties do the Dirac matrices satisfy?
\(\gamma^\mu=(\gamma^0,\gamma^m)=(\beta,\beta\alpha_m)\)- A\(\gamma^\mu\) are hermitian
- B\(\gamma^\mu\) are anti-hermitian
- C\(\gamma^i\) are hermitian
- D\(\gamma^i\) are anti-hermitian
- EThe eigenvalues of \(\gamma^i\) are \(\pm i\)
- FThe eigenvalues of \(\gamma^i\) are \(\pm 1\)
- GThe eigenvalues of \(\beta\) are 0 and 1
- HThe eigenvalues of \(\beta\) are 1 and -1
- IThe eigenvalues of \(\beta\) are 1
5Which operation creates a particle with momentum k?
- A\(a^\dagger(k)|0\rangle\)
- B\(a(k)|0\rangle\)
6The quantization of the free electromagnetic field poses a problem which can be solved by adding a gauge breaking term to the Lagrangian. Which one?
\(\mathcal L\to\mathcal L + G\)- A\(G=(\lambda-1)(\partial\cdot A)^2\)
- B\(G=-\frac{\lambda}{2}(\partial\cdot A)^2\)
- C\(G=-\lambda g^{\mu0}(\partial\cdot A)\)
- D\(G=-(1-\lambda)\partial_\mu(\partial\cdot A)\)
- E\(G=\langle\psi|\partial\cdot A|\psi\rangle\)
7Which field is given by this Lagrangian
\(\mathcal L=(\partial_\mu \varphi^\ast)(\partial^\mu\varphi)-m^2\varphi^\ast\varphi\)?- Aa free scalar field
- Ba fermionic field
- Cthe photon field
- Dnone of these answers
8What is the canonical quantization procedure for a scalar field \(\varphi(t,\vec x)\) with conjugate momentum \(\pi(t,\vec y)\)?
- A\([\varphi(t,\vec x),\pi(t,\vec y)]=i\delta(\vec x-\vec y)\)
- B\(\{\varphi(t,\vec x),\pi(t,\vec y)\}=i\delta(\vec x-\vec y)\)
- C\([\varphi(t,\vec x),\pi(t,\vec y)]=\frac{i}{(2\pi)^3}\delta(\vec x-\vec y)\)
- D\(\{\varphi(t,\vec x),\pi(t,\vec y)\}=\frac{i}{(2\pi)^3}\delta(\vec x-\vec y)\)
9What gives \(\gamma^0\gamma^\mu\gamma^0\)?
- A\(\gamma^\mu\)
- B\(\gamma^{\mu\dagger}\)
- C\(-\gamma^\mu\)
- D\(-\gamma^{\mu\dagger}\)
- E\(-\gamma^{\mu T}\)
- F\(\gamma^{\mu T}\)
10In order for the Dirac equation to be covariant, a spinor has to transform according to \(\psi'_\alpha(x')=S_{\alpha\beta}(L)\psi_\beta(x)\) under a Lorentz transformation. Which relation must these matrices S satisfy?
- A\(S^{-1}\gamma^\mu S={L^\mu}_\nu\gamma^\nu\)
- B\(S\gamma^\mu S^{-1}={L^\mu}_\nu\gamma^\nu\)
11Choose the right name for basis elements of Dirac field bilinears:
\(1\): [blank_start]scalar[blank_end]
\(\gamma^5\): [blank_start]pseudoscalar[blank_end]
\(\gamma^\mu\gamma^5\): [blank_start]axial vector[blank_end]
\(\gamma^\mu\): [blank_start]vector[blank_end]
\(\frac{i}{2}\[\gamma^\mu,\gamma^\nu]\): tensor- Ascalar
- Bpseudoscalar
- Caxial vector
- Dvector
- Eantisymmetric tensor
Informações
- Descrição
- A quiz about quantum electrodynamics
- Autor
- Flo Lindenbauer
- Idioma
- Deutsch
- Visualizações
- 32
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