Bose Einstein Condensate

Terms: Bose Einstein Condensate (442,000), ultracold atoms (114,000), de broglie waves (24,600), absolute zero (4,280,000), zero of temperature (18,200), atom optics (131,000), atom interferometer (31,400), atom interferometry (50,400),

Terms: zeno effect (48,800), stable states (357,000), stable atoms (23,200), exactly periodic (2,220),

Terms: millikelvin (70,500), microkelvin (49,200), nanokelvin (29,700), picokelvin (3,010), femtokelvin (209), attokelvin (252), zeptokelvin (130),

T_c=\left(\frac{n}{\zeta(3/2)}\right)^{2/3}\frac{2\pi \hbar^2}{ m k_B}     for bose-einstein condensation

Riemann Zeta function (3/2) = 2.61237534868548834...

Terms: electromagnetically induced transparency (62,100), slow light (271,000), stopped light (17,400), low group velocity (3,450), ultra-slow light (650),

Terms: schwinger effect (581), schwinger field (913), quantum vacuum effects (930), qed critical magnetic (2), qed critical electric (6), higgs field (145,000), inertia (23,900,000),

Terms: large hadron collider (7,830,000), dark matter (14,800,000), missing matter (87,500), superconductivity (5,120,000), super fluids (1,700), electromagnetic inertia (752), electromagnetic mass (30,100), dark matter maps (1,300), maps of the universe (21,500), electrons (24,200,000), protons (8,240,000), neutrons (6,180,000), gluon (2,020,000), photon (23,400,000),

Terms: red shifts (91,000), red shift survey (360), red shift surveys (224), redshift (5,120,000), redshifts (817,000), redshift survey (148,000), redshift surveys (58,600),

\lambda = \frac {h}{\gamma mv} = \frac {h}{mv} \sqrt{1 - \frac{v^2}{c^2}}

f = \frac{\gamma\,mc^2}{h} = \frac {1}{\sqrt{1 - \frac{v^2}{c^2}}} \cdot \frac{mc^2}{h}

Wikipedia - Thermal de Broglie Wavelength

\Lambda = \sqrt{\frac{ h^2}{ 2\pi mkT}} = \frac{h}{\sqrt{2\pi mkT}}   for thermal, massive

\Lambda= \frac{ch}{2 \pi^{1/3} k T} for thermal, massless      h*f = 2*pi^(1/3) kT = hc/lambda

At 1 nanokelvin, Lambda for photon is 4.912E6 meters, For 4.91 millikelvin, 1 meter

\Lambda=\frac{h}{\sqrt{\pi}}\left(\frac{a}{kT}\right)^{1/s} \left[\frac{\Gamma(n/2+1)}{\Gamma(n/s+1)}\right]^{1/n} n=dimensions, E=p^2/2m for massive particles.  n=3, E=pc for massless.

Terms: refractive index (3,960,000), group refractive index (1,900), refractive tuning (6), self-focusing (140,000), kramers-kronig (90,200),

[0801.0060] Deflection of Ultra Slow Light by Earth Gravity on Laboratory Length Scale

[0710.0273] Deflection of ultra slow light under gravity

[0811.3071] Classical Langevin dynamics of a charged particle moving on a sphere and diamagnetism: A surprise