A Unified Theory of Quasibound States

Abstract

We have developed a formalism that includes both quasibound states with real energies and quantum resonances within the same theoretical framework, and that admits a clean and unambiguous distinction between these states and the states of the embedding continuum. States described broadly as 'quasibound' are defined as having a connectedness (in the mathematical sense) to true bound states through the growth of some parameter. The approach taken here builds on our earlier work by clarifying several crucial points and extending the formalism to encompass a variety of continuous spectra, including those with degenerate energy levels. The result is a comprehensive framework for the study of quasibound states. The theory is illustrated by examining several cases pertinent to applications widely discussed in the literature.

References in corpus (1)

• Decay in a uniform field: an exactly solvable model

Cited by in corpus (4)

• Green's function approach for quantum graphs: an overview
• Softening of Majorana edge states by long-range couplings
• Giant dynamical electron-magnon coupling in metal-metal-ferromagnetic insulator heterostructure
• Evolution of electric-field-induced quasibound states and resonances in one-dimensional open quantum systems