Phenomenology of Quantum Uncertainties| Phenomenology of Quantum Uncertainties |
Configuration-Momentum Uncertainty Relation
> s.a. equivalence principle;
uncertainty relations [theoretical aspects].
@ Mixed states / density matrices: Park JMP(05)mp/04;
Luo PRA(05);
de Gosson & Luef PLA(07)qp.
@ Discrete observables:
Brody & Meister JPA(99);
Barchielli et al CMP(18)-a1608 [relative-entropy formulation].
@ Other states / systems:
Trifonov JOSA(00)qp [coherent-squeezed states];
Trifonov PW(01)phy [minimizing states];
Kowalski & Rembieliński JPA(03)qp [on S1];
Fujikawa PTP(10)-a1009 [with periodic boundary conditions];
Miyadera JMP(11)-a1104 [finite-dimensional systems];
Al-Hashimi & Wiese AP(12) [particle in a box];
Dorsch & Nogueira IJMPA(12) [maximally localized states];
> s.a. coherent states.
@ System preparation / measurement:
Park & Band FP(92);
Krenn et al PRA(00)qp/95;
de Muynck FP(00)qp/99;
Werner qp/04-fs [joint measurement].
@ Violations, ways to beat it: Ozawa PLA(03)qp/02;
Hall PRA(04)qp/03 [with prior information];
Kitano a0803 [not really violated];
Hänggi & Wehner nComm(12)-a1205 [and violations of the second law of thermodyamics];
> s.a. lines [open timelike curves].
@ Measurement of error and disturbance: news pw(12)jan [test of error-and-disturbance formulation];
Mochizuki JModP(13)-a1203 [measurability];
Rozema et al PRL(12)-a1208
[violation of Heisenberg's "measurement-disturbance relationship" by weak measurements];
Kaneda et al PRL(14) [experimental test].
@ Experimental tests:
Görlich et al a0812;
Chernega PS(12)-a1201-conf [homodyne photon state detection];
news PhysOrg(13)feb,
ns(13)feb [macroscopic demonstration];
Ma et al PRL(16)-a1512 [based on statistical distances];
Bosso et al PLB(18)-a1804 [in advanced LIGO];
news cosmos(19)jun;
> s.a. Popper's Experiment.
@ Field theories: Moayedi et al IJMPA(11)-a1105 [spinor field with Quesne-Tkachuk algebra];
Husain et al PRD(13)-a1208 [free scalar field, Green's function];
> s.a. QED [fluxes] and modified
QED; types of quantum field theory.
Other Uncertainties in Quantum Mechanics
> s.a. modified uncertainty relations [other observables
and types of relations]; quantum fluctuations.
@ Relativistic particles:
Białynicki-Birula & Białynicka-Birula PRL(12)-a1110,
PRA(12)-a1205,
comment Wang et al PRL(12)-a1207 [photons]; Nanni PE(16)-a1501;
Białynicki-Birula & Białynicka-Birula NJP(19)-a1903;
Białynicki-Birula & Prystupiuk a2103 [relativistic bosons].
@ Other systems: Barros e Sá JMP(01) [SU(2)-invariant, \(\hbar\)2j
≤ Δ ≤ \(\hbar\)2j(j+1)];
Trifonov JPA(03) [particle on a circle];
> s.a. spinors in field theory.
@ Entropic / information version:
Sánchez-Ruíz PRA(98) [single- and double-slit];
Hiesmayr JPCS(11)-a1103 [decaying systems and CP violation].
@ Related topics: Soucek qp/04 [tests, with \(\Delta t \sim 10^{-12}\) s];
Bastos et al PRD(12)-a1207
[violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics].
GUP and Gravitational Systems
> s.a. casimir effect; modified general
relativity [neighbors, signature change]; modified lorentz symmetry.
@ Compact stars: Wang et al PLB(12)-a1110 [cores];
Farag Ali & Tawfik IJMPD(13)-a1301;
Rashidi AP(16)-a1512,
Mathew & Nandy AP(18)-a1712 [white dwarfs].
@ Black holes: Brout et al PRD(99)ht/98;
Scardigli PLB(99)ht [micro-black holes];
Maziashvili PLB(06) [remnants];
Carr et al a1107;
Maziashvili JCAP(13)-a1208 [remnants];
Casadio & Scardigli EPJC(14)-a1310 [horizon wave function, quantum black hole decay];
Dutta & Gangopadhyay GRG(14)-a1402 [entropy and remnant mass];
Carr a1402-proc [Black Hole Uncertainty Principle correspondence];
Scardigli & Casadio EPJC(14)-a1407 [and setting parameter bounds];
Tawfik & Diab IJMPA(15)-a1502;
Carr et al JHEP-a1504 [sub-Planckian black holes];
Neves EPJC(20)-a1906 [black-hole shadows];
Tamburini et al a2103 [M87*].
@ Black hole thermodynamics:
Xiang & Shen MPLA(04);
Stetsko IJMPA(13)-a1205;
Gangopadhyay et al GRG(14)-a1307;
Tawfik & El Dahab IJMPA(15)-a1501 [entropy corrections];
Buoninfante et al a1903 [and the corpuscular theory of gravity];
Buoninfante et al a2009 [and the Bekenstein bound];
> s.a. black-hole entropy, information
and thermodynamics; rainbow gravity;
specific types of black holes.
@ Other astrophysics: Majumder a1105 [perihelion precession of Mercury];
Maziashvili PRD(12)-a1206 [light incoherence in stellar interferometry];
Buoninfante et al a2001 [GUP stars];
Ökcü & Aydiner NPB-a2101 [classical tests of general reativity];
> s.a. Jeans Mass.
@ Inflation:
Hassan & Sloth NPB(03)ht/02;
Nozari & Akhshabi IJMPD(10)-a0910;
Tawfik et al GRG(13)-a1208 [and early-universe thermodynamics];
Tawfik & Diab EJTP-a1410 [and BICEP2 observations];
Gangopadhyay et al EPL(15)-a1501 [constraints on the GUP].
@ Other cosmological models: Rama PLB(01)ht;
Nozari & Fazlpour GRG(06)gq [early-universe thermodynamics];
Battisti & Montani PLB(09)-a0808 [mixmaster universe];
Shalyt-Margolin a0807-proc [for cosmological-constant–spacetime-volume];
Vakili IJMPD(09)-a0811 [effects on classical and quantum dS/AdS];
Zhu et al PLB(09)-a0811 [thermodynamics];
Rashidi ASS(13)-a1209 [avoiding the big-bang singularity];
Miao & Zhao IJMPD(14)-a1312 [and the cosmological constant problem];
Jalalzadeh et al PRD(14)-a1403;
Pedram PRD(15)-a1502 [Wheeler-DeWitt equation for FLRW with conformally coupled scalar field];
Kouwn a1805;
Bosso & Obregón CQG(20)-a1904 [Kantowski-Sachs model];
Giardino & Salzano a2006;
> s.a. bianchi-I quantum
cosmology; friedmann equation.
@ Gravitational waves: Feng et al PLB(17)-a1610 [propagation];
Bosso et al PLB(18)-a1804 [in the advanced LIGO experiment];
Bhattacharyya et al a2005 [resonant detectors];
Das et al a2101 [GW150914 and GW190521].
@ Strings: Capozziello et al IJTP(00)gq/99;
Yoneya PTP(00)ht,
IJMPA(01)ht/00;
Benczik et al PRD(02)ht;
Hossenfelder et al PLB(03)ht;
Chang et al AHEP(11)-a1106.
@ Non-commutative geometry:
Carlen & Vilela Mendes PLA(01);
Brandenberger & Ho PRD(02)ht;
Bolonek & Kosiński PLB(02)ht,
APPB(03)ht/02 [non-commutative quantum mechanics];
> s.a. non-commutative spacetime.
> Other quantum
gravity: see hořava-lifshitz gravity;
locality; quantum-gravity
phenomenology, effects on matter
and effects on particles.
Other GUP Phenomenology
> s.a. deformed uncertainty relations; discrete spacetime
and phenomenology; Polymer Representation.
* Idea: The various
forms of the gravity-motivated Generalized Uncertainty Principle and
its variants also have consequences for other areas of physics.
@ Particles, fields: Nozari & Azizi GRG(06)qp/05 [free particle + box];
Bouaziz & Bawin PRA(07)-a0711 [inverse-square potential];
Das & Vagenas PRL(10)-a0810,
CJP(09)-a0901-conf [Lamb shift, reflection and transmission coefficients, ...];
Pedram IJMPD(10) [a class of solutions];
Nozari & Pedram EPL(10)-a1011 [bouncing particle];
Pedram IJTP(12)-a1201 [quantum bouncer];
Ma & Zhao JMP(14) [square well];
Blado et al EJP(16)-a1509 [tunneling];
Bosso & Das AP(17)-a1607 [corrections to angular momentum eigenvalues];
Gusson et al EPJC(18)-a1704 [Dirac δ-function potential in quasiposition representation];
Blado et al a1706 [entangled particles];
Marcucci & Conti a1805 [orbital precession];
Gangopadhyay & Bhattacharyya PRD(19)-a1901 [path integral, and non-commutativity];
Yesiltas a1904 [Dirac fields in curved spacetime];
Park & Jung a2001
[inequivalence of Schrödinger and Feynman path-integral approach];
Bosso et al a2005 [scalar electrodynamics],
a2005 [quantum electrodynamics];
> s.a. Dirac Oscillator; fermions
[exotic]; No-Cloning Theorem.
@ Harmonic oscillator: Kempf JPA(97)ht/96;
Brau JPA(99)qp [and H atom];
Pedram EPL(10)-a1003 [and particle in a box];
Farag Ali et al PRD(11) [and corrections to the Lamb shift, Landau levels, etc];
Khalil AHEP(14)-a1309 [and H atom, Lorentz force];
Sadeghnezhad ChJP(16)-a1603 [energy spectrum and coherent states];
Bosso et al PRD(17)-a1704 [coherent and squeezed states];
Bushev et al a1903 [amplitude-frequency effect];
> s.a. quantum oscillator.
@ H atom: Akhoury & Yao PLB(03)hp;
Benczik et al PRA(05);
Stetsko & Tkachuk PRA(06);
Bouaziz & Ferkous PRA(10)-a1009;
Pedram JPA(12)-a1203,
EPL(13)-a1205 [1D];
Francisco et al BJP(14)-a1402 [relativistic approach].
@ Photons: Majhi & Vagenas PLB(13)-a1307,
Araújo & Petrov a2105 [photon gas with modified dispersion relation];
Conti a1805 [spectral features].
@ Experimental systems: Pedram et al JHEP(11) [ultracold neutrons in a gravitational field];
Conti PRA(14) [simulation by non-paraxial non-linear optics];
Chen et al a1602 [ion trap];
Gao & Zhan PRA(16)-a1607 [cold atoms].
@ Wave packets: Nozari & Mehdipour GRG(05)qp [dispersion];
Bang & Berger PRD(06) [minimum uncertainty];
Villalpando & Modak PRD(19)-a1812,
Das & Modak a2102 [broadening]
@ Thermodynamics / statistical physics: Rama PLB(02)ht [Planck spectrum, etc];
Nozari & Mehdipour CSF(07)ht/06,
Shababi JTP-a1310 [ideal gas];
Vakili & Gorji JSTAT(12)-a1207 [statistical mechanics];
Shababi JTP-a1310 [thermodynamics of black-body radiation];
Abbasiyan-Motlaq & Pedram JSM(14)-a1406 [quantum partition function];
Zhang & Tian ChPL(15)-a1410 [Bose-Einstein condensation of a relativistic ideal Bose gas].
@ Other systems: Kober PRD(10)-a1008 [gauge theories];
Das & Mann PLB(11)-a1109 [superconductivity and quantum Hall effect];
> s.a. fine-structure constant; geodesics;
Raychaudhuri Equation; unruh effect.
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