A theology of community

https://place.asburyseminary.edu/ecommonsatsdissertations/2036/thumbnail.jp

Commandeering and Constitutional Change

Coming in the midst of the Rehnquist Court’s federalism revolution, Printz v. United States held that federal commandeering of state executive officers is “fundamentally incompatible with our constitutional system of dual sovereignty.” The Printz majority’s discussion of historical evidence, however, inverted Founding-era perspectives. When Federalists such as Alexander Hamilton endorsed commandeering during the ratification debates, they were not seeking to expand federal power. Quite the opposite. The Federalists capitulated to states’ rights advocates who had recently rejected a continental impost tax because Hamilton, among others, insisted on hiring federal collectors rather than commandeering state collectors. The commandeering power, it turns out, was an integral aspect of the Anti-Federalist agenda because it facilitated federal use of state and local officers, thus ensuring greater local control over federal law enforcement and averting the need for a bloated federal bureaucracy. These priorities carried over into the First Congress, where Anti-Federalists were among the most vehement defenders of the federal power to commandeer state executive and judicial officers. Ironically, though understandably when viewed in context, it was Federalists who first planted the seeds of the anticommandeering doctrine. Incorporating recently uncovered sources and new interpretations, this Article aims to significantly revise our understanding of Founding-era attitudes toward federal commandeering of state officers. Moreover, the Article explains why early Congresses generally shunned the use of state officers and how this custom combined with shifting political priorities to quickly erode what once had been a strong consensus favoring commandeering’s constitutionality

Spectroscopy of a synthetic trapped ion qubit

$^{133}\text{Ba}^+$ has been identified as an attractive ion for quantum information processing due to the unique combination of its spin-1/2 nucleus and visible wavelength electronic transitions. Using a microgram source of radioactive material, we trap and laser-cool the synthetic $A$ = 133 radioisotope of barium II in a radio-frequency ion trap. Using the same, single trapped atom, we measure the isotope shifts and hyperfine structure of the $6^2 \text{P}_{1/2}$ $\leftrightarrow$ $6^2 \text{S}_{1/2}$ and $6^2 \text{P}_{1/2}$ $\leftrightarrow$ $5^2 \text{D}_{3/2}$ electronic transitions that are needed for laser cooling, state preparation, and state detection of the clock-state hyperfine and optical qubits. We also report the $6^2 \text{P}_{1/2}$ $\leftrightarrow$ $5^2 \text{D}_{3/2}$ electronic transition isotope shift for the rare $A$ = 130 and 132 barium nuclides, completing the spectroscopic characterization necessary for laser cooling all long-lived barium II isotopes

Displacement operators: the classical face of their quantum phase

In quantum mechanics, the operator representing the displacement of a system in position or momentum is always accompanied by a path-dependent phase factor. In particular, two non-parallel displacements in phase space do not compose together in a simple way, and the order of these displacements leads to different displacement composition phase factors. These phase factors are often attributed to the nonzero commutator between quantum position and momentum operators, but such a mathematical explanation might be unsatisfactory to students who are after more physical insight. We present a couple of simple demonstrations, using classical wave mechanics and classical particle mechanics, that provide some physical intuition for the phase associated with displacement operators.Comment: 14 pages, 4 figures, reorganized and reformatte

Time-Domain Measurement of Spontaneous Vibrational Decay of Magnetically Trapped NH

The v = 1 -> 0 radiative lifetime of NH (X triplet-Sigma-, v=1,N=0) is determined to be tau_rad,exp. = 37.0 +/- 0.5 stat +2.0 / -0.8 sys miliseconds, corresponding to a transition dipole moment of |mu_10| = 0.0540 + 0.0009 / -0.0018 Debye. To achieve the long observation times necessary for direct time-domain measurement, vibrationally excited NH (X triplet-Sigma-, v=1,N=0) radicals are magnetically trapped using helium buffer-gas loading. Simultaneous trapping and lifetime measurement of both the NH(v=1, N=0) and NH(v=0,N=0) populations allows for accurate extraction of tau_rad,exp. Background helium atoms are present during our measurement of tau_rad,exp., and the rate constant for helium atom induced collisional quenching of NH(v=1,N=0) was determined to be k_q < 3.9 * 10^-15 cm^3/s. This bound on k_q yields the quoted systematic uncertainty on tau_rad,exp. Using an ab initio dipole moment function and an RKR potential, we also determine a theoretical value of 36.99 ms for this lifetime, in agreement with our experimental value. Our results provide an independent determination of tau_rad,10, test molecular theory, and furthermore demonstrate the efficacy of buffer-gas loading and trapping in determining metastable radiative and collisional lifetimes.Comment: 10 pages + 3 figures (11 pages total) v2 has minor corrections and explanations accepted for publication in PR