Jost function formalism with complex potential

2021/02/26 by K. Mizuyama, Mizuyama, K., T. Dieu Thuy +6
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.2102.13328

openalex publication_date 2021/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Jost function formalism is extended with use of the complex potential in this paper. We derive the Jost function by taking into account the dual state which is defined by the complex conjugate the complex Hamiltonian. By using the unitarity of the S-matrix which is defined by the Jost function, the optical theorem with the complex potential is also derived. The role of the imaginary part of the complex potential for both the bound states and the scattering states is figured out. The numerical calculation is performed by using the complex Woods-Saxon potential, and some numerical results are demonstrated to confirmed the properties of extended Jost function formalism.

Related

• The Jost function and Siegert pseudostates from R-matrix calculations at complex wavenumbers
• Jost function, prime numbers and Riemann zeta function
• Inverse Scattering, the Coupling Constant Spectrum, and the Riemann Hypothesis
• Reference potential approach to the quantum-mechanical inverse problem: I. Calculation of phase shift and Jost function
• Reconstruction of the potential from I-function