Coherent States of 2DEG
[ cs.pdf (66K)
]
Introduction
Definitions
Commutation relations
Creation and destruction operators
Number operators
Coherent States
Scalar product
Displacement
Neumann Lattice
Examples (square, hexagonal, general 2D
crystal)
Coordinate Representation
Gauges
Vacuum state
Bargmann-like representation
Connectin with scalar product
Motion of Coherent State Wave-Packets
Crossed electric and magnetic fields
Competeness
Perelomov's Theorem
bi-orthogonal bases
2D-Electron Gas on a
Sphere [ sph.pdf (13K) ]
Density of States (3D from 2D,
etc) [ dos.pdf (43K) ]
Phonon bottleneck [ bottleneck.pdf (51K) ]
Quantum Cascade
Laser [ qcl.pdf (41K) ]
Quantum Capacitance
(three-terminal) [ QC-three-terminal.pdf
(152K) ]
Grain boundary transmission [ grain_boundary.pdf (16K) ]
Non-orthogonal states
basis [ nonortho.pdf
(115K) ]
Tunneling formulae [ tunneling.pdf (36K) ]
Split capacitor (conformal
mapping) [ split_capacitor.pdf
(8K) ]
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