The fermion density operator in the droplet bosonization picture

Abstract

We derive the phase space particle density operator in the 'droplet' picture of bosonization in terms of the boundary operator. We demonstrate that it satisfies the correct algebra and acts on the proper Hilbert space describing the underlying fermion system, and therefore it can be used to bosonize any hamiltonian or related operator. As a demonstration we show that it reproduces the correct excitation energies for a system of free fermions with arbitrary dispersion relations.

16 pages

References in corpus (15)

• Quantum Hall Effect in Higher Dimensions
• Infinite Symmetry in the Quantum Hall Effect
• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Fermions in the Lowest Landau Level: Bosonization, $W_{\infty }$ Algebra, Droplets, Chiral Boson
• Bosonization of the Low Energy Excitations of Fermi Liquids
• The effective action for edge states in higher dimensional quantum Hall systems
• Edge States for quantum Hall droplets in higher dimensions and a generalized WZW model
• Classical Fermi Fluid and Geometric Action for $c=1$
• Chiral actions from phase space (quantum Hall) droplets
• Bosonization of Nonrelativistic Fermions and W-infinity Algebra
• Geometrical Approach to Bosonization of D>1 Dimensional (Non) Fermi Liquids
• Kac-Moody theories for colored phase space (quantum Hall) droplets
• Collective Variables of Fermions and Bosonization
• Exact operator bosonization of finite number of fermions in one space dimension
• Bosonization in higher dimensions via noncommutative field theory

Cited by in corpus (5)

• Boson-fermion duality in SU(m|n) supersymmetric Haldane-Shastry spin chain
• High Temperature Superconductivity and Effective Gravity
• Noncommutative Fluids
• Exact operator Hamiltonians and interactions in the droplet bosonization method
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities