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

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

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.