scholarly journals The planar spectrum in U(N)-invariant quantum mechanics by Fock space methods: I. The bosonic case

2007 ◽  
Vol 2007 (01) ◽  
pp. 018-018 ◽  
Author(s):  
Roberto De Pietri ◽  
Stefano Mori ◽  
Enrico Onofri
Keyword(s):  
Quantum Mechanics ◽  
Fock Space ◽  
Bosonic Case ◽  
Invariant Quantum

Scattering States in Conformally Invariant Quantum Mechanics

1993 ◽  
Vol 225 (2) ◽  
pp. 212-228 ◽  
Author(s):  
V. Barone ◽  
V. Penna ◽  
P. Sodano
Keyword(s):  
Quantum Mechanics ◽  
Conformally Invariant ◽  
Scattering States ◽  
Invariant Quantum

scholarly journals CONSISTENT DEFORMED BOSONIC ALGEBRA IN NONCOMMUTATIVE QUANTUM MECHANICS

2008 ◽  
Vol 23 (09) ◽  
pp. 1393-1403 ◽  
Author(s):  
JIAN-ZU ZHANG
Keyword(s):  
Quantum Mechanics ◽  
Weyl Algebra ◽  
Fock Space ◽  
General Relation ◽  
Noncommutative Space ◽  
Two Dimensional ◽  
Noncommutative Quantum Mechanics ◽  
Commutative Space ◽  
Creation Operators ◽  
Noncommutative Quantum

In two-dimensional noncommutative space for the case of both position–position and momentum–momentum noncommuting, the consistent deformed bosonic algebra at the nonperturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the deformed Heisenberg–Weyl algebra with the deformed bosonic algebra. A Fock space is found, in which all calculations can be similarly developed as if in commutative space and all effects of spatial noncommutativity are simply represented by parameters.

THE QUANTUM MECHANICS OF AN N=1 SUPERPARTICLE IN AN EXTENDED SUPERSPACE

1990 ◽  
Vol 05 (18) ◽  
pp. 1399-1409 ◽  
Author(s):  
MICHAEL B. GREEN ◽  
CHRISTOPHER M. HULL
Keyword(s):  
Quantum Mechanics ◽  
Finite Number ◽  
Gauge Fields ◽  
Yang Mills ◽  
Brst Cohomology ◽  
Covariant Gauge ◽  
Light Cone Quantization ◽  
Local Symmetries ◽  
Invariant Quantum ◽  
Extended Superspace

A new ten-dimensional superparticle action with local symmetries implemented via gauge fields is formulated in a superspace with an extra anticommuting space-time spinor coordinate. Light-cone quantization gives the spectrum of N=1 super-Yang-Mills. Covariant gauge choices in which the gauge fields are set to constants lead to free BRST-invariant quantum actions. Possible ghost systems include one with only a finite number of ghosts and several with an infinite number. In each case, the BRST cohomology class of zero ghost number gives the spectrum of N=1 super-Yang-Mills.

ENTANGLED EIGENSTATES AND SQUEEZING OPERATOR FOR COMPLEX SCALAR FIELDS

1999 ◽  
Vol 14 (39) ◽  
pp. 2695-2700 ◽  
Author(s):  
HONG-YI FAN ◽  
ZENG-BING CHEN
Keyword(s):  
Quantum Mechanics ◽  
Fock Space ◽  
Scalar Fields ◽  
Complex Scalar ◽  
Charge Conjugate ◽  
Einstein Podolsky Rosen ◽  
Squeezing Operator

We derive the entangled eigenstate ‖ξ> of complex scalar fields ϕ and ϕ† in the Fock space. The ‖ξ> state is found to embed the entanglement possessed by the Einstein–Podolsky–Rosen states in quantum mechanics. The ‖ξ> set spans a complete and orthonormal representation. The advantage of the new <ξ‖-representation helps us to derive the normally ordered forms of the squeezing and charge conjugate operators for complex scalar fields rather easily.

scholarly journals Poincaré-covariant quark model of electroweak light mesons decays

2019 ◽  
Vol 204 ◽  
pp. 08006 ◽  
Author(s):  
Viktor Andreev ◽  
Vadzim Haurysh
Keyword(s):  
Quantum Mechanics ◽  
Vector Meson ◽  
Quark Model ◽  
Radiative Decay ◽  
Mixing Angles ◽  
Decay Constants ◽  
Point Form ◽  
Experimental Decay ◽  
Invariant Quantum ◽  
Covariant Quark Model

The procedure for obtaining the radiative decay constants of pseudoscalar and vector unflavored mesons in point–form of Poincaré-invariant quantum mechanics is presented. In the course of the work the authors determine the remaining parameters from V → Pγ and P → Vγ experimental decay value, using the obtained earlier parameters of the model for light (u, d and s) quarks. As a result, the mixing angles for pseudoscalar and vector meson sector were obtained taking into account gluonium content for η – η′ meson sector.

scholarly journals Generalized Fock space and contextuality

2019 ◽  
Vol 377 (2157) ◽  
pp. 20190096 ◽  
Author(s):  
Sergey Rashkovskiy ◽  
Andrei Khrennikov
Keyword(s):  
Quantum Mechanics ◽  
Linear Space ◽  
Wide Class ◽  
Fock Space ◽  
Kinetic Equations ◽  
Interference Term ◽  
Context Dependence ◽  
Total Probability ◽  
Theme Issue ◽  
Formula Of Total Probability

This paper is devoted to linear space representations of contextual probabilities—in generalized Fock space. This gives the possibility to use the calculus of creation and annihilation operators to express probabilistic dynamics in the Fock space (in particular, the wide class of classical kinetic equations). In this way, we reproduce the Doi–Peliti formalism. The context-dependence of probabilities can be quantified with the aid of the generalized formula of total probability—by the magnitude of the interference term. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond'.

Quantum Mechanics in Fock Space

1951 ◽  
Vol 84 (3) ◽  
pp. 533-540 ◽  
Author(s):  
Marcos Moshinsky
Keyword(s):  
Quantum Mechanics ◽  
Fock Space

Particle interpretation of the Dirac–Coulomb solutions

1993 ◽  
Vol 71 (7-8) ◽  
pp. 360-364 ◽  
Author(s):  
Ileana Guiasu ◽  
Roman Koniuk
Keyword(s):  
Quantum Mechanics ◽  
Fock Space ◽  
Relativistic Quantum ◽  
Coulomb Field ◽  
Relativistic Quantum Mechanics ◽  
Pair Annihilation ◽  
Unitary Transformations ◽  
Disconnected Graphs ◽  
Particle Interpretation ◽  
Dirac Hamiltonian

The Dirac Hamiltonian with an external Coulomb field is considered in Fock space; it contains an even part that conserves the number of fermion–antifeimion pairs and an odd part that permits pair annihilation and creation. By successive unitary transformations the nondiagonal terms connecting subspaces with different numbers of pairs can be removed order by order in an (1/m) expansion and the effective no-pair Hamiltonian can be explicitly constructed. If all disconnected graphs are excluded the result is then identical to the result obtained by a similar procedure applied to the Dirac–Coulomb one particle problem in relativistic quantum mechanics.

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