The $\eta$-pseudo-hermitic generator in the deformed Woods Saxons potential

• URL: http://arxiv.org/abs/2007.15718v1
• Date: Wed, 29 Jul 2020 04:59:30 GMT
• Title: The $\eta$-pseudo-hermitic generator in the deformed Woods Saxons potential
• Authors: Zahra Bakhshi, Mohsen Hafezghoran
• Abstract summary: This generator applies to the Dirac equation which consists of two spinor wave functions and non-hermetic potentials. We show the correlation between the potential parameters with transmission probabilities that $eta$-pseudo-hermetic using the change of focal points on Hamiltonian can be formalized.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we present a general method to solve non-hermetic potentials with PT symmetry using the definition of two $\eta$-pseudo-hermetic and first-order operators. This generator applies to the Dirac equation which consists of two spinor wave functions and non-hermetic potentials, with position that mass is considered a constant value and also Hamiltonian hierarchy method and the shape invariance property are used to perform calculations. Furthermore, we show the correlation between the potential parameters with transmission probabilities that $\eta$-pseudo-hermetic using the change of focal points on Hamiltonian can be formalized based on Schr\"{o}dinger-like equation. By using this method for some solvable potentials such as deformed Woods Saxon's potential, it can be shown that these real potentials can be decomposed into complex potentials consisting of eigenvalues of a class of $\eta$-pseudo-hermitic.

Related papers

• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Chiral Virasoro algebra from a single wavefunction [14.735587711294299]
  When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a representation of a single Virasoro algebra. We propose a method to systematically extract the generators of the Virasoro algebra from a single ground state wavefunction.
  arXiv  Detail & Related papers  (2024-03-27T09:54:21Z)
• A hybrid quantum algorithm to detect conical intersections [39.58317527488534]
  We show that for real molecular Hamiltonians, the Berry phase can be obtained by tracing a local optimum of a variational ansatz along the chosen path. We demonstrate numerically the application of our algorithm on small toy models of the formaldimine molecule.
  arXiv  Detail & Related papers  (2023-04-12T18:00:01Z)
• Exact solution for the interaction of two decaying quantized fields [0.9449650062296824]
  We show that the Markovian dynamics of two coupled harmonic oscillators may be analyzed using a Schr"odinger equation and an effective non-Hermitian Hamiltonian. This may be achieved by a non-unitary transformation that involves superoperators. We may diagonalize the effective non-Hermitian Hamiltonian to obtain the evolution of any input state in a fully quantum domain.
  arXiv  Detail & Related papers  (2023-04-12T02:05:14Z)
• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields [0.0]
  A relation between classical electrostatic fields and Schr"odinger-like Hamiltonians is evidenced. Supersymmetric quantum potentials analogous to classical electrostatic fields can be constructed.
  arXiv  Detail & Related papers  (2022-09-02T19:21:07Z)
• Propagating-wave approximation in two-dimensional potential scattering [0.0]
  We introduce a nonperturbative approximation scheme for performing scattering calculations in two dimensions. We show that the above approximation reduces to the first Born approximation for weak potentials. We identify an infinite class of complex potentials for which this approximation scheme is exact.
  arXiv  Detail & Related papers  (2022-04-11T14:39:25Z)
• When can a local Hamiltonian be recovered from a steady state? [11.031662961887243]
  Hamiltonians of two spin chains with 2-local interactions and 3-local interactions can be recovered by measuring local observables. We show that when the chain length reaches a certain critical number, we can recover the local Hamiltonian from its one steady state by solving the homogeneous operator equation (HOE) To explain the existence of such a critical chain length, we develop an alternative method to recover Hamiltonian by solving the energy eigenvalue equations (EEE)
  arXiv  Detail & Related papers  (2021-09-16T02:37:17Z)
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
  Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
  arXiv  Detail & Related papers  (2021-07-27T07:11:32Z)
• The Quantum Mechanics Swampland [0.0]
  We investigate non-relativistic quantum mechanical potentials between fermions generated by various classes of QFT operators. We show that the potentials are nonsingular, despite the presence of terms proportional to $r-3$ and $nabla_inabla_jdelta3(vecr)$. We propose the emphQuantum Mechanics Swampland, in which the Landscape consists of non-relativistic quantum mechanical potentials that can be UV completed to a QFT, and the Swampland consists of
  arXiv  Detail & Related papers  (2020-12-21T19:00:00Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity [3.1643632234649486]
  We consider a quantum mechanical particle moving inside an infinitesimally thin layer constrained by a parabolic well in the $x$-direction. We investigate the Birman-Schwinger operator associated to a model assuming the presence of a Gaussian impurity inside the layer. We construct the corresponding self-adjoint Hamiltonian and prove that it is the limit in the norm resolvent sense of a sequence of corresponding Hamiltonians.
  arXiv  Detail & Related papers  (2020-05-20T19:59:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.