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The focus of the thesis is to obtain a universal formalism to evaluate the perturbations during inflation at all orders that can be applied to any theory of gravity and matter source in the early universe. We first look at the equivalence…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Debottam Nandi

Studies of subradiance in a chain N two-level atoms in the single excitation regime focused mainly on the complex spectrum of the effective Hamiltonian, identifying subradiant eigenvalues. This can be achieved by finding the eigenvalues $N$…

Quantum Physics · Physics 2025-07-22 Nicola Piovella

Short-range correlations between nucleon pairs in different spin-isospin channels are investigated for light nuclei using the Argonne V8' interaction. At distances below 1 fm a universal behavior is found for the deuteron, 3H, 3He and for…

Nuclear Theory · Physics 2011-11-14 H. Feldmeier , W. Horiuchi , T. Neff , Y. Suzuki

This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition $H^\dagger=H$ on the Hamiltonian, where $\dagger$ represents the mathematical operation of complex conjugation and matrix…

Quantum Physics · Physics 2009-10-31 Carl Bender , Stefan Boettcher , Peter Meisinger

Collective modes emerge as the relevant degrees of freedom that govern low-energy excitations of atomic nuclei. These modes - rotations, pairing rotations, and vibrations - are separated in energy from non-collective excitations, making it…

Nuclear Theory · Physics 2025-03-12 E. A. Coello Pérez , T. Papenbrock

In nuclear reactions induced by hadrons and ions of high energies, nuclei can disintegrate into many fragments during a short time (~100 fm/c). This phenomenon known as nuclear multifragmentation was under intensive investigation last 20…

Nuclear Theory · Physics 2008-06-25 A. S. Botvina

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

We show that nuclear pairing Hamiltonian exhibits supersymmetry in the strong-coupling limit. The underlying supersymmetric quantum mechanical structure explains the degeneracies between the energies of the N and Nmax-N+1 pair eigenstates.…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , Y. Pehlivan

We study a classically chaotic system which is described by a Hamiltonian $H(Q,P;x)$ where $(Q,P)$ are the canonical coordinates of a particle in a 2D well, and $x$ is a parameter. By changing $x$ we can deform the `shape' of the well. The…

Chaotic Dynamics · Physics 2009-10-31 Doron Cohen , Tsampikos Kottos

We determine the influence of a variation of the fundamental ``constants'' on the predicted helium abundance in Big Bang Nucleosynthesis. The analytic estimate is performed in two parts: the first step determines the dependence of the…

Astrophysics · Physics 2008-11-26 Christian M. Mueller , Gregor Schaefer , Christof Wetterich

In peripheral collisions of relativistic heavy ions highly excited spectators containing Lambda-hyperons can be produced. Such strange spectator matter may undergo a break-up into many fragments (multifragmentation) as it is well…

Nuclear Theory · Physics 2008-11-26 A. S. Botvina , J. Pochodzalla

The linear response approach to nuclear transport has been extended to pair correlations. The latter are treated within a mean field approximation to a pairing interaction with constant matrix elements $G$. The constraint of particle number…

Nuclear Theory · Physics 2009-10-31 F. A. Ivanyuk , H. Hofmann

To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate transition densities, with which the differential cross sections are obtained through the…

Nuclear Theory · Physics 2019-04-17 Koichi Sato , Takenori Furumoto , Yuma Kikuchi , Kazuyuki Ogata , Yukinori Sakuragi

Geometric relativistc interactions in a new geometric unified theory are classified using the dynamic holonomy groups of the connection. Physical meaning may be given to these interactions if the frame excitations represent particles. These…

General Physics · Physics 2007-05-23 Gustavo R. Gonzalez-Martin

We study the entanglement Hamiltonian of two disjoint blocks in the harmonic chain on the line and in its ground state. In the regime of large mass, the non vanishing terms are only the on-site and the nearest-neighbour ones. Analytic…

Statistical Mechanics · Physics 2025-03-26 Francesco Gentile , Andrei Rotaru , Erik Tonni

We describe the ground state of the isovector pairing Hamiltonian in self-conjugate nuclei by a product of collective quartets of different structure built from two neutrons and two protons coupled to total isospin T=0. The structure of the…

Nuclear Theory · Physics 2015-06-18 M. Sambataro , N. Sandulescu

It is shown that the renormalized nuclear deformations in different mass regions can be globally scaled by two probability partition factors of Boltzmann-like distribution, which are derived from the competing valence $np$ and like-nucleon…

Nuclear Theory · Physics 2019-05-14 J. G. Wang , M. L. Liu , C. M. Petrache , K. K. Zheng , X. H. Zhou , Y. H. Zhang

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore

We study the correlation between the energy spectra of two disordered Hamiltonians of the form $H_a=H_{0a}+s_{a}\varphi$ ($a=1,2$) with $H_{0a}$ and $\varphi$ drawn from random distributions. We calculate this correlation function…

Condensed Matter · Physics 2009-10-22 E. Brézin , École Normale Superieure , A. Zee

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna