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quant-ph9808029.txt \|@word concept:1 consider:2 four:3 2n2:1 follow:1 hole:1 r1s:4 aug:1 shanghai:1 charge:4 th:2 under:1 ingredient:6 wave:12 bjorken:1 electron:16 level:2 turns:1 large:1 enhance:1 equation:4 enjoy:3 upper:2 slower:2 ze:1 zero:8 σht:1 enhancement:1 chen:3 further:1 even:1 what:2 clock:1 current:1 above:2 new:1 increasing:1 boost:2 acknowledgments:1 ibid:4 respectively:4 here:2 china:2 directions:1 along:1 equations:1 contraction:1 usually:1 composed:1 9c:2 addressed:1 decrease:3 meson:1 would:1 remains:1 positive:2 negative:2 next:1 calculation:1 m0:27 until:1 more:1 formally:1 becomes:2 company:1 odinger:3 sharply:1 particular:1 known:2 cases:1 iii:1 keeping:1 quantized:1 characterize:1 science:2 inertial:1 work:1 figure:11 stated:1 process:1 relativistic:3 high:2 lorentz:2 axis:1 counterpart:1 end:1 quantph:2 pure:1 instead:2 parameter:1 simplicity:1 derived:1 plane:1 coming:1 plank:1 natural:1 light:1 so:3 order:2 essence:2 vary:1 mission:1 paper:2 including:1 kinetic:1 its:11 probability:1 interesting:1 relativity:4 decreases:2 actually:1 mail:1 main:1 spreading:1 correspondence:1 evening:3 combination:1 ze2:1 effects:1 they:3 now:2 discuss:1 inversion:3 dirac:7 always:5 university:2 accompanying:2 2y:1 sufficiently:1 inequality:1 each:1 accompanied:1 spinor:1 ei:1 energy:13 principles:1 related:1 antiparticle:6 quantum:8 infinity:3 morning:3 eq:10 special:4 shown:4 dominates:1 space:3 increase:1 hill:1 internet:4 ref:1 ree:2 theory:3 free:3 quite:1 approaches:5 proportionality:1 boosting:2 beginning:1 recast:1 could:2 m20:2 motion:4 turn:1 vc2:1 gordon:2 hence:1 approaching:1 first:1 already:1 symmetry:3 reveals:1 subtlety:1 number:2 directly:1 angular:1 1s:2 eqs:1 system:1 master:2 postulate:1 part:1 determines:1 imply:1 limiting:2 matter:5 amplitude:1 exhibit:1 lowest:1 sees:1 shrinks:1 unchanged:2 curves:2 dash:4 seen:1 constrained:1 any:3 viewed:1 forced:1 lim:1 note:1 k2:1 potential:2 sakurai:1 begin:1 opposite:2 hydrogenlike:3 phase:1 why:1 kg:6 observation:1 considered:1 χc:5 exp:4 kz:1 physics:3 dot:2 quantity:3 2m0:3 show:2 supported:1 contemporary:1 relation:2 99c:2 principal:1 ratio:10 explain:1 should:2 only:1 explicitly:1 continuity:1 do:2 dk:1 klein:2 meanwhile:3 dz:2 words:2 drell:1 during:1 evolution:1 weimin:1 e1s:5 arxiv:1 summary:1 common:1 view:2 enhances:1 set:1 packet:7 relative:2 see:4 discussions:1 changeable:1 satisfies:1 state:5 between:3 invariant:3 approach:1 preserve:1 historical:1 positron:3 ascribed:2 however:3 both:3 essentially:1 freely:2 called:1 σz:1 hω:1 fields:1 point:5 simple:1 mc2:1 ensures:1 described:4 pz:1 yan:1 basic:1 ph:2 fudan:3 define:1 addison:1 θc:3 coherently:1 c2:19 spin:3 c4:2 case:6 look:2 solid:4 appearance:1 profiles:2 excited:1 will:4 while:3 mh0:1 many:1 situation:1 characterizing:1 versus:2 vc:2 thus:2 ii:1 ih:4 reads:4 itself:1 vt:2 different:1 perform:2 strange:1 quant:2 dimensionless:2 status:2 literature:1 slave:3 effect:1 hand:4 moving:3 lower:2 schr:3 well:1 without:6 components:3 guang:2 just:1 being:8 rest:2 speed:5 cn:1 density:2 nonrelativistic:2 seems:1 book:1 transformation:5 momentum:2 demands:1 unlimited:1 february:1 increases:4 advanced:1 like:1 particle:33 follows:1 reduces:1 velocities:2 ignore:1 either:2 mcgraw:1 5c:2 stationary:2 classical:1 some:1 back:1 im0:1 though:1 antimatter:3 does:2 provides:1 obey:1 equivalent:1 wesley:1 2m:1 hiding:7 discussed:1 carries:1 h2:5 into:5 within:1 bound:8 nsf:1 references:1 einstein:1 binding:3 hep:2 legends:1 support:1 width:1 low:1 was:1 function:7 form:2 jun:1 but:3 atom:3 hc:1 pull:1 inside:4 ωt:1 us:3 below:1 limit:7 ψe:2 similar:1 display:1 mechanics:7 ac:1 constant:1 abstract:1 denote:4 journal:1 ni:11 no:1 whereas:2 when:9 field:5 other:6 kinds:1 zhou:1 variation:4 meaning:1 flower:3 nucleus:4 velocity:6 sides:1 coupling:1 coulomb:3 assume:1 curve:3 mass:15 time:4 push:1 once:1 external:1

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quant-ph9808053.txt \|@word consider:3 remarkable:1 magnetic:1 leads:2 eds:1 dimensionality:2 aug:1 superspace:1 finally:1 ıj:2 division:1 advantage:2 very:2 bjorken:1 electron:3 fractal:1 encounter:3 four:2 anisotropy:1 applicable:1 small:3 imply:1 narlikar:1 incidentally:1 further:2 reconciliation:1 nano:1 while:3 expressed:1 goes:1 fractional:3 new:4 net:1 lee:1 behaviour:2 magnetism:1 alone:1 drell:1 standard:1 appears:2 resulting:1 9l:1 scales:4 neutrino:1 use:2 takes:1 would:3 positive:1 handedness:4 charge:8 comparing:1 m1:1 therefore:1 qcd:2 type:2 discreteness:1 me:3 science:1 equation:1 three:3 following:1 example:1 4m:1 wang:1 process:2 relativistic:1 india:1 provide:1 how:1 pure:1 displacements:1 inputs:1 description:5 after:1 ff:1 meaningful:1 third:1 light:3 correspond:2 cosmology:2 so:1 fundamental:1 first:1 order:3 indeed:2 over:1 paper:2 including:1 still:1 jin:1 interesting:1 masses:2 mail:1 greater:1 newman:3 effects:1 they:1 singularity:1 now:3 rencontres:1 dirac:2 kerr:3 identified:1 l2:1 each:1 2m:1 individually:1 spinor:3 ee:1 energy:5 books:1 quantum:7 wavelength:14 beyond:1 out:2 shown:4 space:1 particles:3 hill:1 dominate:1 ref:3 benjamin:1 foundation:1 theory:4 circumstance:1 quark:7 york:3 usual:4 philip:1 e2:2 could:1 place:1 predominate:1 hyderabad:1 already:1 features:3 hitherto:1 size:1 given:5 introduction:2 their:4 fermions:4 dt2:1 scheme:2 recovered:1 mostly:1 moscow:1 part:2 than:1 distance:1 providing:1 recover:3 any:1 bednyakov:1 angle:1 barut:1 lin:1 gravity:1 predominantly:1 note:3 sciences:1 potential:4 mir:1 explanation:1 lectures:1 centre:2 rationale:3 known:4 considered:1 gyro:1 mechanical:3 justify:1 physics:2 fact:4 show:1 charles:1 d2:1 d3:4 ratio:1 explain:1 black:2 pointed:2 do:1 above:5 get:1 de:1 cannot:1 negative:4 words:1 reveal:1 arxiv:1 naked:1 experiments:1 intervening:1 reference:1 physically:1 observed:1 see:1 computer:1 gravitation:2 nuclear:1 outside:3 identification:1 between:1 drawn:1 approach:2 publishers:2 terms:2 nature:2 however:2 huang:1 concentrated:1 both:1 taking:1 compton:14 context:1 disappears:1 corresponds:2 proton:3 dimensional:1 mc2:1 hd1:1 due:4 been:1 describes:1 harwood:1 ph:1 suggested:1 arises:1 corresponding:1 tµν:3 wheeler:3 confinement:2 spirit:1 present:1 case:2 empirical:1 will:1 near:1 p62:1 vol:1 metric:1 confining:3 disappear:1 kovalenko:1 radiation:1 same:1 parts:1 quant:1 several:1 independent:1 kim:1 spinorial:1 electromagnetism:1 charges:2 well:4 academic:1 components:3 charged:1 unified:2 just:1 less:1 obtain:2 identify:1 previous:1 density:1 setting:1 lett:1 easily:1 delhi:1 cf:4 helicity:1 confined:3 mod:2 fractionally:1 like:1 particle:5 alternatively:1 zitterbewegung:1 follows:1 mcgraw:1 dimensions:5 quarks:7 provides:1 core:1 2c:3 conventional:1 odom:1 leptons:2 central:1 anomalous:1 whence:1 automatically:1 considerations:1 within:1 lieber:1 references:1 elementary:1 geometrodynamics:1 there:1 low:2 was:6 witt:1 relic:1 attempted:1 smolin:1 but:1 crane:1 made:1 inside:1 up:1 below:1 display:1 mechanics:1 int:2 abstract:1 sidharth:5 examine:1 ind:1 puzzling:2 no:1 field:2 other:1 details:1 spatial:1 test:1 mathematics:1 theor:1 conclusion:1 picture:2 a0:1 recent:3 structure:3 pion:3 tubes:1 dτ:2 required:1 holes:2 equivalently:1 observe:1 mass:5 time:1

quant-ph9808054.txt \|@word consider:3 show:2 indeed:3 pointed:1 charles:1 leads:1 experiments:1 ga:1 world:1 mentioned:1 only:1 ground:1 particles:1 dimensionality:2 laughlin:4 aug:1 density:1 jin:1 interesting:2 masses:1 corroborated:1 state:1 li:1 quasi:2 potential:1 black:2 lett:3 constituents:1 mail:1 ıj:1 magnetic:1 indicating:1 theo:1 me:2 motivated:1 therefore:1 viewpoint:2 heterojunctions:1 very:1 anyonic:4 superconductivity:1 fluid:2 newman:3 electron:4 effects:2 dx:1 using:2 lieber:1 hall:1 encounter:3 mod:3 reveal:1 fractionally:2 particle:1 alternatively:1 arxiv:1 kerr:3 applicable:1 2c:1 small:2 referred:1 therein:3 spinor:2 alx:1 hadronic:2 energy:6 identified:1 deduce:1 frequency:1 quantum:7 wavelength:6 out:1 emerges:1 shown:1 total:1 corroboration:1 dimensions:4 nano:2 space:1 quarks:1 rev:1 helicity:2 semiconductor:1 outside:2 does:2 disappears:1 above:3 fractional:3 drawn:1 net:1 approach:3 3e:1 shows:1 wilczek:1 recently:1 scientific:1 concluded:1 negative:3 conventional:1 quark:1 behaviour:4 odom:1 huang:1 usual:2 philip:1 tensors:1 deduced:1 ref:1 would:2 a0:1 study:2 compton:6 words:1 display:1 length:2 place:1 due:1 context:1 consequence:1 studies:1 hyderabad:1 scales:2 charge:3 each:1 cf:2 ga1:1 three:2 dimensional:5 references:4 viz:2 precisely:1 mc2:1 equating:1 follows:2 given:2 statistics:2 takes:1 hd1:1 their:1 handedness:2 was:1 been:1 next:1 ee:1 low:3 ph:1 e2:1 type:2 refs:1 fermions:2 arises:1 becomes:1 wheeler:1 gas:2 but:2 observe:1 dirac:2 c2:1 cases:1 case:1 mc:2 science:1 equation:1 work:1 emerge:1 up:2 will:3 near:1 problem:1 more:1 example:1 exhibit:1 anyon:1 p62:1 wang:1 int:2 implications:1 abstract:1 india:1 ao:1 sidharth:4 su:1 further:2 ind:1 seen:2 four:1 different:1 built:1 lin:1 predominantly:2 note:1 other:2 quant:1 pure:1 test:1 conclusion:2 breakdown:1 picture:1 begin:1 description:1 singapore:1 centre:1 effect:2 hand:1 applications:1 kim:1 spinorial:1 recent:3 stress:1 lead:1 third:1 physics:2 holes:2 analysis:1 yang:1 electrons:4 expression:1 components:1 mechanical:2 model:1 charged:2 tubes:2 dimension:1 fact:1 realised:1

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quant-ph9808056.txt \|@word secondly:1 sci:1 magnetic:4 particular:1 results:5 four:3 computation:2 remarkably:1 causes:1 inverse:2 aug:1 irrelevant:1 under:4 characterised:1 case:8 supported:1 advantage:1 frequencies:4 exception:1 resonant:2 difference:1 matrices:1 høyer:2 encodes:1 hamiltonian:3 t2:1 solution:2 damped:1 large:1 item:3 small:8 eigenvalues:2 lloyd:1 upper:1 deutsch:2 direct:1 pulse:13 threshold:1 second:2 estimated:2 errors:3 brackets:1 axes:1 dephasing:1 experiment:1 above:4 new:2 method:1 behaviour:4 desired:5 explore:1 selective:11 operating:1 address:1 alone:1 along:2 standard:1 observing:1 imperfections:2 extreme:1 obtained:4 solid:1 search:13 leung:1 institute:1 items:8 leaves:1 larger:4 allows:3 prior:1 resulting:1 permit:1 resonance:4 implement:6 studies:1 plotted:2 merely:1 marked:5 replace:1 visible:1 addressed:1 eiφk:1 apply:1 total:1 conventional:4 eye:1 indicated:1 would:2 remains:1 predictions:1 cory:2 few:1 f01:3 f00:3 criteria:1 until:1 3lb:1 more:5 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