No Final Victories: The Incompleteness of Equity’s Triumph in Federal Public Law

Prominent areas in which the US Supreme Court has denied equitable relief are examined, demonstrating the limited nature of equity\u27s triumph in federal public law. The rationale behind the trend away from equity in such decisions is discussed

Exhuming the “Diversity Explanation” of the Eleventh Amendment

This essay, in a symposium honoring the scholarship of Ninth Circuit Judge William A. Fletcher, explores the “diversity explanation” of the Eleventh Amendment that he had advanced in articles while he was a UC-Berkeley law professor. That explanation, contrary to existing Supreme Court doctrine that heavily constitutionalizes state sovereign immunity from suits by private parties and foreign countries, would view the Eleventh Amendment as having solely to do with federal courts’ constitutional jurisdiction and nothing to do with states’ sovereign immunity. The essay notes the cleanness of interpretation provided by the diversity explanation, in contrast with the convoluted nature of current doctrine, and concludes that overruling of that doctrine would be warranted

The harmonic oscillator and nuclear physics

The three-dimensional harmonic oscillator plays a central role in nuclear physics. It provides the underlying structure of the independent-particle shell model and gives rise to the dynamical group structures on which models of nuclear collective motion are based. It is shown that the three-dimensional harmonic oscillator features a rich variety of coherent states, including vibrations of the monopole, dipole, and quadrupole types, and rotations of the rigid flow, vortex flow, and irrotational flow types. Nuclear collective states exhibit all of these flows. It is also shown that the coherent state representations, which have their origins in applications to the dynamical groups of the simple harmonic oscillator, can be extended to vector coherent state representations with a much wider range of applicability. As a result, coherent state theory and vector coherent state theory become powerful tools in the application of algebraic methods in physics

Consent and the Roots of Judicial Authority: The Constitutional Writings of Archibald Cox (Book Review)

Reviewing A. Cox, The Role of the Supreme Court in American Governmen

Coherent state triplets and their inner products

It is shown that if H is a Hilbert space for a representation of a group G, then there are triplets of spaces F_H, H, F^H, in which F^H is a space of coherent state or vector coherent state wave functions and F_H is its dual relative to a conveniently defined measure. It is shown also that there is a sequence of maps F_H -> H -> F^H which facilitates the construction of the corresponding inner products. After completion if necessary, the F_H, H, and F^H, become isomorphic Hilbert spaces. It is shown that the inner product for H is often easier to evaluate in F_H than F^H. Thus, we obtain integral expressions for the inner products of coherent state and vector coherent state representations. These expressions are equivalent to the algebraic expressions of K-matrix theory, but they are frequently more efficient to apply. The construction is illustrated by many examples.Comment: 33 pages, RevTex (Latex2.09) This paper is withdrawn because it contained errors that are being correcte