6533b82ffe1ef96bd129481e
RESEARCH PRODUCT
Pseudo-fermions in an electronic loss-gain circuit
Giuseppe PantanoFabio Bagarellosubject
PhysicsQuantum PhysicsPhysics and Astronomy (miscellaneous)General Mathematicspseudo-fermionsTime evolutionFOS: Physical sciencesFermionMathematical Physics (math-ph)symbols.namesakeFormalism (philosophy of mathematics)Biorthogonal systemsymbolsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsElectronic circuitMathematical physicsdescription
In some recent papers a loss-gain electronic circuit has been introduced and analyzed within the context of PT-quantum mechanics. In this paper we show that this circuit can be analyzed using the formalism of the so-called pseudo-fermions. In particular we discuss the time behavior of the circuit, and we construct two biorthogonal bases associated to the Liouville matrix $\Lc$ used in the treatment of the dynamics. We relate these bases to $\Lc$ and $\Lc^\dagger$, and we also show that a self-adjoint Liouville-like operator could be introduced in the game. Finally, we describe the time evolution of the circuit in an {\em Heisenberg-like} representation, driven by a non self-adjoint hamiltonian.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |