Articles by T. Berggren and P. Lind

Seminal articles

• Interpretation of the imaginary part of an observable calculated in the Berggren basis
T. Berggren
Expectation value of an operator in a resonant state
Phys. Lett. B 373, 1 (1996) article

• Operator equivalent of the Berggren basis
T. Berggren and P. Lind
Resonant state expansion of the resolvent
Phys. Rev. C 47, 768 (1993) article

• Formulation of the Berggren basis
T. Berggren
On the use of resonant states in eigenfunction expansions of scattering and reaction amplitudes
Nucl. Phys. A 109, 265 (1968) article

All articles

• T. Berggren
Expectation value of an operator in a resonant state
Phys. Lett. B 373, 1 (1996) article

• P. Lind, R. J. Liotta, E. Maglione and T. Vertse
Resonant state expansions of the continuum
Z. Phys. A 347, 231 (1994) article

Last (prescient) sentence in the article:

We consider this a proof that the set of single-particle states in the Berggren and Mittag-Leffler expansions can be used as representation in shell-model calculations where the continuum plays an important role.

• T. Berggren and P. Lind
Resonant state expansion of the resolvent
Phys. Rev. C 47, 768 (1993) article

• P. Lind
Completeness relations and resonant state expansions
Phys. Rev. C 47, 1903 (1993) article

• T. Berggren
Completeness relations, Mittag-Leffler expansions and the perturbation theory of resonant states
Nucl. Phys. A 389, 261 (1982) article

• T. Berggren
Resonance effects in the binding of a nuleon to an unbound core
Nucl. Phys. A 361, 102 (1981) article

• T. Berggren
On the asymptotic behaviour of the effective form factor potential due to an ubound core
Nucl. Phys. A 330, 381 (1979) article

• T. Berggren
On the interpretation of complex cross sections for production of resonant final states
Phys. Lett. B 73, 389 (1978) article

• G. Ohlen and T. Berggren
Break-up reactions leading to resonant final states
Nucl. Phys. A 272, 21 (1976) article

• T. Berggren
On the treatment of resonant final states in direct reactions
Nucl. Phys. A 169, 353 (1971) article

• T. Berggren
On the use of resonant states in eigenfunction expansions of scattering and reaction amplitudes
Nucl. Phys. A 109, 265 (1968) article

• D. F. Jackson and T. Berggren
Partial wave analysis of the ${ ( p , 2p ) }$ reaction
Nucl. Phys. 62, 353 (1965) article

• T. Berggren
Overlap integrals and single-particle wave functions in direct interaction theories
Nucl. Phys. 72, 337 (1965) article

• T. Berggren and G. Jacob
Quasi-free proton-proton scattering in ${ 1p }$-shell nuclei
Nucl. Phys. 47, 481 (1963) article

• T. Berggren, G. E. Brown and G. Jacob
A remark on quasi-free scattering
Phys. Lett. 1, 88 (1962) article
• FRIB-Theory Alliance workshop 2018: From bound states to the continuum: Connecting bound state calculations with scattering and reaction theory website; Talk on The single-particle Berggren basis in structure calculations slides

• Symmetry in the world of atomic nuclei by I. Ragnarsson and S. Åberg, Lund University; See slide on T. Berggren

• Many-body open quantum systems: From atomic nuclei to quantum dots at the ECT*, Trento, Italy, 2007; Talk on 40 years of the Berggren representation by T. Vertse slides.

Retrospectively funny T. Berggren quote

• T. Berggren
Resonance State Expansions in Nuclear Physics
Resonances, The Unifying Route Towards the Formulation of Dynamical Processes. Foundations and Applications in Nuclear, Atomic, and Molecular Physics. Proceedings of a Symposium held at Lertorpet, Värmland, Sweden, 1987. Edited by E. Brändas and N. Elander. Lecture Notes in Physics 325. Berlin, Springer-Verlag, 1989, p.105 article

The Next Generation: What More Can We Do?

The question in the title of this chapter is a suitable point for finishing this brief and incomplete review of resonance state expansions based on completeness. The situation is, I think, that we have a lot more to do in this field. My own activity here is, at present, very low. If there is still some interest in deep hole states in nuclei when I get time for them (they are highly excited, unbound, and decay via a kind of Auger process), then I would like to play with them for a while. Many intricate problems remain to be solved. There is an abundance of possible applications of resonance state expansions. The younger generation of physicists can just pick up a problem which appeals to their taste and work happily ever after.