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Modified quantum harmonic oscillator: hamiltonians unitarily equivalent and energy spectrum
The hamiltonian can be put in the form $H_{\alpha \beta} = \frac{1}{2m}(p + \beta m q^2)^2 + \frac{m \omega^2}{2}\left(q + \frac{\alpha}{m \omega^2}\right)^2 - \frac{\alpha^2}{m^2 \omega^4}$. Now defi …
1
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0
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66
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Traceless energy momentum tensor and energy spectrum
We have a $D$ dimensional flat minkowskian spacetime, and a field theory with $T_{\mu \nu}$ symmetric, traceless ($T^{\mu}_{\mu} = 0 $) and conserved ($\partial^{\mu} T_{\mu \nu} = 0$). We also assume …