scholarly journals Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Giuseppe Gaetano Luciano ◽  
Massimo Blasone
Keyword(s):  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Unruh Effect ◽  
Dirac Fermions ◽  
Tsallis Statistics ◽  
Mixing Parameters ◽  
Flavor Mixing ◽  
Mixed Fields ◽  
Effective Description ◽  
Entropic Index

AbstractFlavor mixing of quantum fields was found to be responsible for the breakdown of the thermality of Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like bath, provided that the underlying statistics is assumed to obey Tsallis prescription. This was analyzed explicitly for bosons. Here we extend this study to Dirac fermions and in particular to neutrinos. Working in the relativistic approximation, we provide an effective description of the modified Unruh spectrum in terms of the q-generalized Tsallis statistics, the q-entropic index being dependent on the mixing parameters $$\sin \theta $$ sin θ and $$\Delta m$$ Δ m . As opposed to bosons, we find $$q>1$$ q > 1 , which is indicative of the subadditivity regime of Tsallis entropy. An intuitive understanding of this result is discussed in relation to the nontrivial entangled structure exhibited by the quantum vacuum for mixed fields, combined with the Pauli exclusion principle.

Hardness and HOMO-LUMO Gap Probed by the Helium Atom Pushing the Molecular Surface of the First-Row Hydride Molecules

2003 ◽  
Vol 68 (12) ◽  
pp. 2344-2354 ◽  
Author(s):  
Edyta Małolepsza ◽  
Lucjan Piela
Keyword(s):  
Helium Atom ◽  
Pauli Exclusion Principle ◽  
Structure Change ◽  
Molecular Surface ◽  
Exclusion Principle ◽  
Probe Position ◽  
Repulsion Energy ◽  
Ionic Dissociation ◽  
Probe Site ◽  
Homo Lumo

A molecular surface defined as an isosurface of the valence repulsion energy may be hard or soft with respect to probe penetration. As a probe, the helium atom has been chosen. In addition, the Pauli exclusion principle makes the electronic structure change when the probe pushes the molecule (at a fixed positions of its nuclei). This results in a HOMO-LUMO gap dependence on the probe site on the isosurface. A smaller gap at a given probe position reflects a larger reactivity of the site with respect to the ionic dissociation.

Identical Particles and Second Quantization: Occupation Number Representation

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Occupation Number ◽  
Annihilation Operator ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Number Representation ◽  
Second Quantization ◽  
Identical Particles ◽  
Fundamental Properties ◽  
Minimum Uncertainty ◽  
Creation Operators

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.

scholarly journals Testing the Pauli Exclusion Principle for Electrons at LNGS

2015 ◽  
Vol 61 ◽  
pp. 552-559 ◽  
Author(s):  
H. Shi ◽  
S. Bartalucci ◽  
S. Bertolucci ◽  
C. Berucci ◽  
A.M. Bragadireanu ◽  
...  
Keyword(s):  
Pauli Exclusion Principle ◽  
Exclusion Principle

Thermonuclear plasma conditions in stellar interiors

1981 ◽  
Vol 300 (1456) ◽  
pp. 641-648
Keyword(s):  
Nuclear Reactions ◽  
Pauli Exclusion Principle ◽  
Significant Rise ◽  
Exclusion Principle ◽  
Reaction Products ◽  
Thermonuclear Reactions ◽  
Radiated Energy ◽  
Large Numbers ◽  
Stellar Interiors ◽  
Late Stages

Thermonuclear reactions provide the main source of radiated energy for stars and they are also believed to be responsible for the production of most of the heavy elements in the Universe. The thermonuclear plasma is confined by the force of gravitation and for most of a star’s history the reactions occur slowly and steadily. In some circumstances, the properties of a star change very rapidly and explosive nuclear reactions occur. In very dense stellar interiors the energy states available to electrons may be limited by the Pauli exclusion principle. When thermonuclear reactions start in such a degenerate gas, a rise in temperature is not accompanied by a significant rise in pressure and as a result there may be a runaway increase in reaction rate. In contrast, when reactions start in a non-degenerate gas, there is normally an effective thermostat. A star is usually opaque to reaction products, so that there is no problem in maintaining the reaction temperature, but at late stages of stellar evolution nuclear or elementary particle reactions may produce large numbers of neutrinos and antineutrinos that do escape.

scholarly journals Two-Cooper-pair problem and the Pauli exclusion principle

2010 ◽  
Vol 81 (17) ◽  
Author(s):  
Walter V. Pogosov ◽  
Monique Combescot ◽  
Michel Crouzeix
Keyword(s):  
Cooper Pair ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle

scholarly journals X rays on quantum mechanics: Pauli Exclusion Principle and collapse models at test

2015 ◽  
Vol 631 ◽  
pp. 012068 ◽  
Author(s):  
C Curceanu ◽  
S Bartalucci ◽  
A Bassi ◽  
S Bertolucci ◽  
C Berucci ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
X Rays ◽  
Collapse Models

scholarly journals VIP: AN EXPERIMENT TO SEARCH FOR A VIOLATION OF THE PAULI EXCLUSION PRINCIPLE

2007 ◽  
Vol 22 (02n03) ◽  
pp. 242-248 ◽  
Author(s):  
E. Milotti ◽  
S. Bartalucci ◽  
S. Bertolucci ◽  
M. Bragadireanu ◽  
M. Cargnelli ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Basic Principle ◽  
Pauli Exclusion Principle ◽  
Experimental Results ◽  
Underground Laboratory ◽  
Exclusion Principle

The Pauli Exclusion Principle is a basic principle of Quantum Mechanics, and its validity has never been seriously challenged. However, given its fundamental standing, it is very important to check it as thoroughly as possible. Here we describe the VIP (VIolation of the Pauli exclusion principle) experiment, an improved version of the Ramberg and Snow experiment (E. Ramberg and G. Snow, Phys. Lett. B238, 438 (1990)); VIP has just completed the installation at the Gran Sasso underground laboratory, and aims to test the Pauli Exclusion Principle for electrons with unprecedented accuracy, down to β2/2 ≈ 10-30 - 10-31. We report preliminary experimental results and briefly discuss some of the implications of a possible violation.

Internal conversion between bound states and the Pauli exclusion principle

2002 ◽  
Vol 65 (3) ◽  
Author(s):  
F. F. Karpeshin ◽  
M. B. Trzhaskovskaya ◽  
M. R. Harston ◽  
J. F. Chemin
Keyword(s):  
Bound States ◽  
Internal Conversion ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle

Atomic and Molecular Structure

2019 ◽  
pp. 323-358
Author(s):  
P.J.E. Peebles
Keyword(s):  
Molecular Structure ◽  
Ground State ◽  
Molecular Hydrogen ◽  
Energy State ◽  
Cosmic Ray ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Distant Galaxy ◽  
Long Time ◽  
Main Approximation

This chapter assesses some applications drawn from atomic and molecular structure. It deals with the structures of the lighter atoms and the simplest molecule, molecular hydrogen. The main approximation method used here is the energy variational principle, which is a powerful technique for computing the low-lying energies of a system such as an atom or molecule. The chapter then introduces the Pauli exclusion principle, which governs the symmetry of the state vector for a system of identical particles such as electrons. Two general features of the exclusion principle are worth noting. First, although the spins make only a very weak contribution to the Hamiltonians for helium, the lowest energy state with spin one is above the spin zero ground state, which is a considerable difference. Second, an electron arriving as a cosmic ray particle from a distant galaxy has to have a wave function antisymmetric with respect to the local electrons, even though the new electron has been away from us for a long time.

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