Two-dimensional coherent states

Two-dimensional Experiments. - Various modifications of the two-dimensional solid state NMR experiments have been proposed. Carravetta et al. have shown that in many cases, the commutation properties of the mixing Hamiltonian leads to selectivity in the allowed coherence transfer processes leading to enhanced resolution in the cross-peaks of 2D solid state NMR spectra. ... 

Here the constant kj specifies several quantities. These are the geometry of the nucleus whether it is formed homogeneously or heterogeneously in certain situations whether it is deposited coherently or incoherently and the enthalpy of fusion per repeating unit. Two-dimensional steady-state nucleation (initiation or growth) can be expressed as... 

L. The liquid-expanded, L phase is a two-dimensionally isotropic arrangement of amphiphiles. This is in the smectic A class of liquidlike in-plane structure. There is a continuing debate on how best to formulate an equation of state of the liquid-expanded monolayer. Such monolayers are fluid and coherent, yet the average intermolecular distance is much greater than for bulk liquids. A typical bulk liquid is perhaps 10% less dense than its corresponding solid state. 

Knopp G, Pinkas I and Prior Y 2000 Two-dimensional time-delayed coherent anti-Stokes Raman spectroscopy and wavepacket dynamics of high ground-state vibrations J. Raman Spectrosc. 31 51... 

Two-dimensional constant matrix, transition state trajectory, white noise, 203-207 Two-pathway excitation, coherence spectroscopy atomic systems, 170-171 channel phases, 148-149 energy domain, 178-182 extended systems and dissipative environments, 177-185 future research issues, 185-186 isolated resonance, coupled continuum, 168-169... 

In the past two decades, a variety of semiclassical initial-value representations have been developed [105-111], which are equivalent within the semiclassical approximation (i.e., they solve the Schrodinger equation to first order in H), but differ in their accuracy and numerical performance. Most of the applications of initial-value representation methods in recent years have employed the Herman-Kluk (coherent-state) representation of the semiclassical propagator [105, 108, 187, 245, 252-255], which for a general n-dimensional system can be written as... 

Onufrieva F., and Pfeuty P., (2002). Spin dynamics of a two-dimensional metal in a superconducting state Application to the high-Tc cuprates Phys. Rev. B 65 054515 Manske D., Eremin I., and Bennemann K.H., (2001). Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors A consistent picture with tunneling and conductivity data. Phys. Rev. B 63 054517. 

In impulsive multidimensional (1VD) Raman spectroscopy a sample is excited by a train of N pairs of optical pulses, which prepare a wavepacket of quantum states. This wavepacket is probed by the scattering of the probe pulse. The electronically off-resonant pulses interact with the electronic polarizability, which depends parametrically on the vibrational coordinates (19), and the signal is related to the 2N + I order nonlinear response (18). Seventh-order three-dimensional (3D) coherent Raman scattering, technique has been proposed by Loring and Mukamel (20) and reported in Refs. 12 and 21. Fifth-order two-dimensional (2D) Raman spectroscopy, proposed later by Tanimura and Mukamel (22), had triggered extensive experimental (23-28) and theoretical (13,25,29-38) activity. Raman techniques have been reviewed recently (12,13) and will not be discussed here. 

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