37 research outputs found
Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
Full text linkWe study self-adjoint operators defined by factorizing second order
differential operators in first order ones. We discuss examples where such
factorizations introduce singular interactions into simple quantum mechanical
models like the harmonic oscillator or the free particle on the circle. The
generalization of these examples to the many-body case yields quantum models of
distinguishable and interacting particles in one dimensions which can be solved
explicitly and by simple means. Our considerations lead us to a simple method
to construct exactly solvable quantum many-body systems of Calogero-Sutherland
type.Comment: 17 pages, LaTe
Where it All Began: Lending of Last Resort and the Bank of England During the Overend, Gurney Panic of 1866
Full text linkComparing political futures: the rise and use of scenarios in future-oriented area studies
Get PDFThe predictive ability of scholars of politics has long been a subject of theoretical debate and methodological development. In theoretical debate, prediction represents a central issue regarding the extent to which the study of politics is scientific. In methodological development, much effort and resource have been devoted to a diverse range of predictive approaches, with varying degrees of success. Expectations that scholars forecast accurately come as much from the policy and media worlds as from the academy. Since the end of the Cold War, scenario development has become prevalent in future-oriented research by area studies scholars. This approach is long due critical re-assessment. For all its strengths as a policy tool, scenario development tends towards a bounded methodology, driving the process of anticipating futures along predetermined paths into a standardised range of options, and paying insufficient attention to theoretical and contextual understandings available within the relevant scholarly disciplines
Đối thoại lớp cao (Bài 1-12) :Lớp V = Advanced Conversation (Lesson 1-12) :
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