"Almost classical" many-body systems: The quantum-mechanical corrections to the moments of a general spectrum

1982 ◽  
Vol 26 (4) ◽  
pp. 2168-2177 ◽  
Author(s):  
F. Barocchi ◽  
M. Moraldi ◽  
M. Zoppi
Keyword(s):  
Quantum Mechanical ◽  
Many Body ◽  
Many Body Systems

scholarly journals A REMARK ON ONE-DIMENSIONAL MANY-BODY PROBLEMS WITH POINT INTERACTIONS

2000 ◽  
Vol 14 (07) ◽  
pp. 721-727 ◽  
Author(s):  
SERGIO ALBEVERIO ◽  
LUDWIK DABROWSKI ◽  
SHAO-MING FEI
Keyword(s):  
Singular Point ◽  
Bound States ◽  
Quantum Mechanical ◽  
Contact Interactions ◽  
Many Body ◽  
Point Interactions ◽  
One Dimensional ◽  
Integrable Quantum ◽  
Scattering Matrices ◽  
Many Body Systems

The integrability of one-dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) δ-function interaction there is another singular point interactions which gives rise to a new one-parameter family of integrable quantum mechanical many-body systems. The bound states and scattering matrices are calculated for both bosonic and fermionic statistics.

scholarly journals On the Dynamical Nature of Nonlinear Coupling of Logarithmic Quantum Wave Equation, Everett-Hirschman Entropy and Temperature

2018 ◽  
Vol 73 (7) ◽  
pp. 619-628 ◽  
Author(s):  
Konstantin G. Zloshchastiev
Keyword(s):  
Wave Equation ◽  
Dynamical Behavior ◽  
Quantum Mechanical ◽  
Nonlinear Coupling ◽  
Many Body ◽  
Quantum Wave ◽  
Many Body Systems ◽  
Quantum Mechanical Systems ◽  
Logarithmic Equation ◽  
Quantum Wave Equation

AbstractWe study the dynamical behavior of the nonlinear coupling of a logarithmic quantum wave equation. Using the statistical mechanical arguments for a large class of many-body systems, this coupling is shown to be related to temperature, which is a thermodynamic conjugate to the Everett-Hirschman’s quantum information entropy. A combined quantum-mechanical and field-theoretical model is proposed, which leads to a logarithmic equation with variable nonlinear coupling. We study its properties and present arguments regarding its nature and interpretation, including the connection to Landauer’s principle. We also demonstrate that our model is able to describe linear quantum-mechanical systems with shape-changing external potentials.

Some U(n1 + n2) ⊃U(n1) ⊗U(n2) isoscalar factors

2017 ◽  
Vol 26 (09) ◽  
pp. 1750057 ◽  
Author(s):  
H. G. Ganev
Keyword(s):  
Mechanical Treatment ◽  
Quantum Mechanical ◽  
Many Body ◽  
Type Formula ◽  
Quantum Mechanical Treatment ◽  
Two Component ◽  
Many Body Systems

Some of the [Formula: see text] isoscalar factors (IFs), involving the [Formula: see text] couplings of the type [Formula: see text], are obtained using the building-up procedure. It is shown that such type of IFs are relevant to the quantum-mechanical treatment of the two-component many-body systems.

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems

scholarly journals Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
Norifumi Matsumoto ◽  
Kohei Kawabata ◽  
Yuto Ashida ◽  
Shunsuke Furukawa ◽  
Masahito Ueda
Keyword(s):  
Phase Transition ◽  
Continuous Phase ◽  
Many Body ◽  
Continuous Phase Transition ◽  
Many Body Systems ◽  
Gap Closing

scholarly journals Universal relations for ultracold reactive molecules

2020 ◽  
Vol 6 (51) ◽  
pp. eabd4699
Author(s):  
Mingyuan He ◽  
Chenwei Lv ◽  
Hai-Qing Lin ◽  
Qi Zhou
Keyword(s):  
Critical Role ◽  
Interaction Strength ◽  
Quantum Correlations ◽  
Polar Molecules ◽  
Many Body ◽  
Density Correlation ◽  
Ultracold Polar Molecules ◽  
Unexplored Area ◽  
Many Body Systems

The realization of ultracold polar molecules in laboratories has pushed physics and chemistry to new realms. In particular, these polar molecules offer scientists unprecedented opportunities to explore chemical reactions in the ultracold regime where quantum effects become profound. However, a key question about how two-body losses depend on quantum correlations in interacting many-body systems remains open so far. Here, we present a number of universal relations that directly connect two-body losses to other physical observables, including the momentum distribution and density correlation functions. These relations, which are valid for arbitrary microscopic parameters, such as the particle number, the temperature, and the interaction strength, unfold the critical role of contacts, a fundamental quantity of dilute quantum systems, in determining the reaction rate of quantum reactive molecules in a many-body environment. Our work opens the door to an unexplored area intertwining quantum chemistry; atomic, molecular, and optical physics; and condensed matter physics.

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