Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Oleg BulashenkoWe discuss the possibility to build the formalism of quantum mechanics based on Parity-Time (PT ) symmetry, rather than on the Hermiticity of operators. We consider the simple analytically tractable case of a PT -symmetric 2 x 2 Hamiltonian matrix and analyse the conditions for the eigenvalues to be real and for time evolution to be unitary. Lastly, we review and reproduce the results of an experiment involving PT symmetry in optic
We discuss space-time symmetric Hamiltonian operators of the form H = H0 + igH ′ , where H0 is Hermi...
The Hamiltonian H specifies the energy levels and the time evolution of a quantum theory. It is an a...
We discuss Hamiltonian symmetries and invariants for quantum systems driven by non-Hermitian Hamilto...
Recently, much research has been carried out on Hamiltonians that are not Hermitian but are symmetri...
One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical ob...
We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric qu...
In the context of non-Hermitian quantum mechanics, many systems are known to possess a pseudo PT sym...
In recent reports, suggestions have been put forward to the effect that parity and time-reversal (PT...
AbstractThe Hamiltonian for quantum electrodynamics becomes non-Hermitian if the unrenormalized elec...
Open classical and quantum systems have attracted great interest in the past two decades. These incl...
Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither He...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
The impact of an anti-unitary symmetry on the spectrum of non-hermitean operators is studied. Wigner...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
It is shown that if a Hamiltonian $H$ is Hermitian, then there always exists an operator ${\cal P}$ ...
We discuss space-time symmetric Hamiltonian operators of the form H = H0 + igH ′ , where H0 is Hermi...
The Hamiltonian H specifies the energy levels and the time evolution of a quantum theory. It is an a...
We discuss Hamiltonian symmetries and invariants for quantum systems driven by non-Hermitian Hamilto...
Recently, much research has been carried out on Hamiltonians that are not Hermitian but are symmetri...
One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical ob...
We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric qu...
In the context of non-Hermitian quantum mechanics, many systems are known to possess a pseudo PT sym...
In recent reports, suggestions have been put forward to the effect that parity and time-reversal (PT...
AbstractThe Hamiltonian for quantum electrodynamics becomes non-Hermitian if the unrenormalized elec...
Open classical and quantum systems have attracted great interest in the past two decades. These incl...
Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither He...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
The impact of an anti-unitary symmetry on the spectrum of non-hermitean operators is studied. Wigner...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
It is shown that if a Hamiltonian $H$ is Hermitian, then there always exists an operator ${\cal P}$ ...
We discuss space-time symmetric Hamiltonian operators of the form H = H0 + igH ′ , where H0 is Hermi...
The Hamiltonian H specifies the energy levels and the time evolution of a quantum theory. It is an a...
We discuss Hamiltonian symmetries and invariants for quantum systems driven by non-Hermitian Hamilto...