Fermi-Ulam problem for classical and quantum particles in dynamical traps

Correlation of particles number in an equilibrium thermal state of quantum gas is caused mutual «interference repulsion» and antibunching at fermions and «interference attraction» and bunching at bosons.

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Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles

Mathematical Notes ◽

10.1134/s0001434620090163 ◽

2020 ◽

Vol 108 (3-4) ◽

pp. 457-461

Author(s):

S. B. Levin

Keyword(s):

Scattering Problem ◽

Quantum Particles

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Galileo Unbound

10.1093/oso/9780198805847.001.0001 ◽

2018 ◽

Cited By ~ 1

Author(s):

David D. Nolte

Keyword(s):

Free Fall ◽

The Sun ◽

Quantum Field ◽

Many Worlds ◽

Quantum Particles ◽

Light Rays ◽

History Of ◽

And Control ◽

The Universe ◽

Insight Into

Galileo Unbound: A Path Across Life, The Universe and Everything traces the journey that brought us from Galileo’s law of free fall to today’s geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman’s dilemma of quantum particles taking all paths at once—setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

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QLB for Quantum Many-Body and Quantum Field Theory

10.1093/oso/9780199592357.003.0033 ◽

2018 ◽

Author(s):

Sauro Succi

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Quantum Mechanics ◽

Quantum Computing ◽

Single Particle ◽

Body Problem ◽

Three Dimensions ◽

Quantum Field ◽

Many Body ◽

Quantum Particles

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

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Specific features of interference of photons and other quantum particles

Moscow University Physics Bulletin ◽

10.3103/s0027134916030036 ◽

2016 ◽

Vol 71 (3) ◽

pp. 258-265 ◽

Cited By ~ 1

Author(s):

A. V. Belinsky ◽

V. B. Lapshin

Keyword(s):

Quantum Particles

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QUANTUM SINGULARITIES IN STATIC SPACETIMES

International Journal of Modern Physics D ◽

10.1142/s0218271811019062 ◽

2011 ◽

Vol 20 (05) ◽

pp. 729-743 ◽

Cited By ~ 17

Author(s):

JOÃO PAULO M. PITELLI ◽

PATRICIO S. LETELIER

Keyword(s):

Quantum Mechanics ◽

Wave Operator ◽

Point Of View ◽

Quantum Mechanical ◽

Mathematical Framework ◽

Physical Content ◽

Dirac Equations ◽

Quantum Particles ◽

Klein Gordon ◽

Quantum Singularities

We review the mathematical framework necessary to understand the physical content of quantum singularities in static spacetimes. We present many examples of classical singular spacetimes and study their singularities by using wave packets satisfying Klein–Gordon and Dirac equations. We show that in many cases the classical singularities are excluded when tested by quantum particles but unfortunately there are other cases where the singularities remain from the quantum mechanical point of view. When it is possible we also find, for spacetimes where quantum mechanics does not exclude the singularities, the boundary conditions necessary to turn the spatial portion of the wave operator to be self-adjoint and emphasize their importance to the interpretation of quantum singularities.

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