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Two species -body embedded Gaussian unitary ensembles: -normal form of the eigenvalue density
Manan Vyas, V. K. B. Kota
Eigenvalue density generated by embedded Gaussian unitary ensemble with -body interactions for two species (say and ) fermion systems is investigated by der…
Bivariate moments of the two-point correlation function for embedded Gaussian unitary ensemble with -body interactions
V. K. B. Kota
Embedded random matrix ensembles with -body interactions are well established to be appropriate for many quantum systems. For these ensemble the two point correlation function i…
Wavefunction structure in quantum many-fermion systems with -body interactions: conditional -normal form of strength functions
V. K. B. Kota, Manan Vyas
For finite quantum many-particle systems modeled with say fermions in single particle states and interacting with -body interactions (), the wavefunction struc…
Random Matrix Theory for Transition Strength Densities in Finite Quantum Systems: Results from Embedded Unitary Ensembles
V. K. B. Kota, Manan Vyas
Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated interacting quantum many-particle systems. For the simplest spinless sy…
Level spacing statistics and spectral correlations in the diffuse van der Waals clusters
Sudip Kumar Haldar, Barnali Chakrabarti, N. D. Chavda +3
We present a statistical analysis of eigenenergies and discuss several measures of spectral fluctuations and spectral correlations for the van der Waals clusters of different sizes…
Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
D. Angom, S. Ghosh, V. K. B. Kota
We revisit statistical wavefunction properties of finite systems of interacting fermions in the light of strength functions and their participation ratio and information entropy. F…