We investigate properties of attainable partitions integers, where a partition $$(n_1,n_2, \dots , n_r)$$ n is if $$\sum (3-2i)n_i\ge 0$$ . Conjecturally, under an extension the Cohen and Lenstra heuristics by Holmin et. al., these correspond to abelian p-groups that appear as class groups imaginary quadratic number fields for infinitely many odd primes p. demonstrate connection integers into t...

Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model, the generic harmonic-interaction model for mixtures. Closed-form expressions eigenvalues eigenfunctions reduced one-particle two-particle density matrices as function all parameters, masses, numbers bosons, intraspecies interspecies interactions, are obtained a...

The application of a matrix-based reconstruction protocol for obtaining Molecular Frame (MF) photoelectron angular distributions (MFPADs) from laboratory frame (LF) measurements (LFPADs) is explored. Similarly to other recent works on the topic MF reconstruction, this makes use time-resolved LF measurements, in which rotational wavepacket prepared and probed via photoionization, followed by num...