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We propose a phenomenological approach to quantum liquids of particles obeying generalized statistics of a fermionic type, in the spirit of the Landau Fermi liquid theory. The approach is developed for fractional exclusion statistics. We…

Condensed Matter · Physics 2009-10-31 Serguei B. Isakov

Penetration of two coupled particles through a repulsive barrier is considered. A simple mechanism of the appearance of barrier resonances is demonstrated that makes the barrier anomalously transparent as compared to the probability of…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. M. Pen'kov

The dichotomy between fermions and bosons is at the root of many physical phenomena, from metallic conduction of electricity to super-fluidity, and from the periodic table to coherent propagation of light. The dichotomy originates from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ady Stern

The operational formalism to quantum mechanics seeks to base the theory on a firm foundation of physically well-motivated axioms [1]. It has succeeded in deriving the Feynman rules [2] for general quantum systems. Additional elaborations…

Quantum Physics · Physics 2015-06-23 Klil H. Neori , Philip Goyal

Forty-five years after the discovery of the peculiar quantum effect known as `probability backflow', and twenty years after the greatest possible size of the effect was characterized, an experiment has been proposed recently to observe the…

Quantum Physics · Physics 2015-11-19 A. J. Bracken , G. F. Melloy

Quantum mechanics broadly classifies the particles into two categories: $(1)$ fermions and $(2)$ bosons. Fermions are half-integer spin particles, obeying Pauli's exclusion principle and Fermi-Dirac statistics. Whereas bosons are integer…

Statistical Mechanics · Physics 2025-09-03 Nupoor Thakur , Navinder Singh

Special relativity combined with the stochastic vacuum flux impact model lead to an explicit interpretation of many of the phenomena of elementary quantum mechanics. We examine characteristics of a repetitively impacted submicroscopic…

General Physics · Physics 2007-05-23 C. L. Herzenberg

Anyons in one spatial dimension can be defined by correctly identifying the configuration space of indistinguishable particles and imposing Robin boundary conditions. This allows an interpolation between the bosonic and fermionic limits. In…

Quantum Physics · Physics 2020-02-19 H S Mani , Ramadas N , V V Sreedhar

The symmetrization postulates of quantum mechanics (symmetry for bosons, antisymmetry for fermions) are usually taken to entail that \emph{quantum particles} of the same kind (e.g., electrons) are all in exactly the same state and therefore…

Quantum Physics · Physics 2011-05-23 Dennis Dieks , Andrea Lubberdink

In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations involving indistinguishable particles. This…

Quantum Physics · Physics 2009-11-11 Y. Omar

Quantum turbulence shares many similarities with classical turbulence in the isotropic and homogeneous case, despite the inviscid and quantized nature of its vortices. However, when quantum fluids are subjected to rotation, their turbulent…

Quantum Gases · Physics 2025-06-23 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

Quantum matter in three spatial dimensions is observed to consist exclusively of bosons and fermions. Whether this empirical fact follows from basic consistency requirements of quantum theory itself or must be imposed as an additional…

Quantum Physics · Physics 2025-12-29 Chi-Chun Zhou , Shuai A. Chen , Yu-Zhu Chen , Yao Shen , Fu-Lin Zhang , Wu-Sheng Dai

Quantum particles in a potential are described by classical statistical probabilities. We formulate a basic time evolution law for the probability distribution of classical position and momentum such that all known quantum phenomena follow,…

Quantum Physics · Physics 2011-12-16 C. Wetterich

Size-invariant shape transformation gives rise to the so-called quantum shape effect in strongly confined systems. While quantum size and shape effects are often thought to be difficult to distinguish because of their coexistence, it is…

Statistical Mechanics · Physics 2023-08-16 Alhun Aydin , Altug Sisman

Where does quantum mechanics part ways with classical mechanics? How does quantum randomness differ fundamentally from classical randomness? We cannot fully explain how the theories differ until we can derive them within a single axiomatic…

Quantum Physics · Physics 2017-11-07 Agung Budiyono , Daniel Rohrlich

Quantum mechanics still provides new unexpected effects when considering the transport of energy and information. Models of continuous time quantum walks, which implicitly use time-reversal symmetric Hamiltonians, have been intensely used…

Quantum Physics · Physics 2013-08-23 Zoltan Zimboras , Mauro Faccin , Zoltan Kadar , James Whitfield , Ben Lanyon , Jacob Biamonte

Mermin's "shut up and calculate!" somehow summarizes the most widely accepted view on quantum mechanics. This conception has led to a rather constraining way to think and understand the quantum world. Nonetheless, a closer look at the…

Quantum Physics · Physics 2014-04-17 A. S. Sanz

Quantum backflow, a counterintuitive interference phenomenon where particles with positive momentum can propagate backward, is important in applications involving light-matter interactions. To date, experimental demonstrations of backflow…

We develop a general framework for the open dynamics of an ensemble of quantum particles subject to spacetime fluctuations about the flat background. An arbitrary number of interacting bosonic and fermionic particles are considered. A…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Teodora Oniga , Charles H. -T. Wang

The quantum mechanical decay of two or more overlapped resonances in a common continuum is largely influenced by Fano interference, leading to important phenomena such as the existence of bound states in the continuum, fractional decay and…

Quantum Physics · Physics 2020-12-15 Stefano Longhi