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Results tagged with grassmann-numbers
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user 27384
4
votes
1
answer
564
views
Why must the supersymmetry generators be spinors?
I have read in a few places (for example, at page 5 here) that the supersymmetry generators must be spinors. Quoting the reference mentioned
The generator of the symmetry must relate two types of …
- 6,137
3
votes
2
answers
400
views
Do the Grassmann coordinates in the superfield formalism have any physical meaning?
In the superfield formalism we consider fields in a space who has four so called bosonic coordinates $x^{\nu}$ and four so called fermionic coordinates $\theta_1$,$\theta_2$,$\bar{\theta_1}$,$\bar{\th …
- 6,137
9
votes
3
answers
4k
views
Is it possible to write the fermionic quantum harmonic oscillator using $P$ and $X$?
The Hamiltonian of the quantum harmonic oscillator is
$$\mathcal{H}=\frac{P^2}{2m}+\frac{1}{2}m\omega^2X^2$$
and we can define creation and annihilation operators
$$b=\sqrt{\frac{m\omega}{2\hbar}}(X+\ …
- 6,137