The recently proposed complexification of Hamiltonians which keeps the spectra real (and is usually called PT symmetry) is re-interpreted here as a certain natural linear-algebraic alternative to Hermiticity. The juxtaposition is mediated by the Feshbachian projection on a model space which reduces the difference just to a sign of a propagator in the effective Hamiltonian. The problem of norms and orthogonality is clarified and a few perturbation aspects are mentioned. A remarkable simplicity of the secular polynomial is conjectured. The mechanism of the PT symmetry breaking is clarified via a separable approximation scheme
In the recent years a generalization of Hermiticity was investigated using a complex deformation H =...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
In the seminal paper (Bender & Boettcher, 1998) a new view of quantum mechanics was proposed. This n...
We show that and how PT symmetry (interpreted as a "weakened Hermiticity") can be extended to the ex...
Brief review is given of my recent results on solvable models within the so called PT symmetric vers...
We construct a new class of non-Hermitian Hamiltonians with real spectra. The Hamiltonians possess o...
We discuss the construction of real matrix representations of PT-symmetric operators. We show the li...
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: ...
We discuss the construction of real matrix representations of PT-symmetric operators. We show the li...
The fields nonlinear modes quantization scheme is discussed. New form of the perturbation theory ach...
Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither He...
In a PT symmetrically complexified square well, bound states are constructed by the matching techniq...
The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are...
It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermi...
In the recent years a generalization of Hermiticity was investigated using a complex deformation H =...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
In the seminal paper (Bender & Boettcher, 1998) a new view of quantum mechanics was proposed. This n...
We show that and how PT symmetry (interpreted as a "weakened Hermiticity") can be extended to the ex...
Brief review is given of my recent results on solvable models within the so called PT symmetric vers...
We construct a new class of non-Hermitian Hamiltonians with real spectra. The Hamiltonians possess o...
We discuss the construction of real matrix representations of PT-symmetric operators. We show the li...
Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: ...
We discuss the construction of real matrix representations of PT-symmetric operators. We show the li...
The fields nonlinear modes quantization scheme is discussed. New form of the perturbation theory ach...
Li and Miao [Phys. Rev. A 85, 042110 (2012)] proposed a non-Hermitian Hamiltonian that is neither He...
In a PT symmetrically complexified square well, bound states are constructed by the matching techniq...
The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are...
It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermi...
In the recent years a generalization of Hermiticity was investigated using a complex deformation H =...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...