Boson-fermion mapping and dynamical supersymmetry in fermion models
Abstract We show that a dynamical supersymmetry can appear in a purely fermionic system. This “supersymmetry without bosons” is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In some algebraic fermion models of nuclear structure, particular Hamiltonians may lead to collective spectra of even and odd nuclei that can be unified using the dynamical supersymmetry concept with Pauli correlations exactly taken into account.
Deformations of the fermion realization of the sp(4) algebra and its subalgebras
With a view towards future applications in nuclear physics, the fermion realization of the compact symplectic sp(4) algebra and its q-deformed versions are investigated. Three important reduction chains of the sp(4) algebra are explored in both the classical and deformed cases. The deformed realizations are based on distinct deformations of the fermion creation and annihilation operators. For the primary reduction, the su(2) substructure can be interpreted as either the spin, isospin or angular momentum algebra, whereas for the other two reductions su(2) can be associated with pairing between fermions of the same type or pairing between two distinct fermion types. Each reduction provides for a complete classification of the basis states. The deformed induced u(2) representations are reducible in the action spaces of sp(4) and are decomposed into irreducible representations.
Woodrow Wilson: The Essential Political Writings
Chapter 1 Preface Chapter 2 Introduction to Wilson's Political Thought Part 3 Progress and the Organic State Chapter 4 The State (chapters 1, 2, 13, 16) Chapter 5 "Christ's Army" Chapter 6 "Christian Progress" Part 7 Political Liberty and the Scope and Ends of Government Chapter 8 "Socialism and Democracy" Chapter 9 "A Calendar of Great Americans" Chapter 10 "Address on Thomas Jefferson" Chapter 11 "The Authors and Signers of the Declaration of Independence" Chapter 12 The New Freedom (chapters 1, 2) Part 13 Institutional Reform Chapter 14 "Cabinet Government in the United States" Chapter 15 Congressional Government (chapter 2 & conclusion) Chapter 16 Constitutional Government in the United States (chapters 3, 8) Chapter 17 "Wanted - A Party" Part 18 Political and Administrative Leadership Chapter 19 "Leaders of Men" Chapter 20 "The Study of Administration" Part 21 Foreign Policy Chapter 22 "War Message to Congress" Chapter 23 "Fourteen Points" Part 24 Appendix A. Chronology of Wilson's Academic Work and Other Selected Events Part 25 Appendix B. Selected Bibliography