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Adiabatic and post-adiabatic representations for multichannel Schrödinger equations

Journal of Mathematical Physics, 1994
The properties of the adiabatic representation of a multichannel Schrödinger equation are analyzed by exploiting the Hamiltonian and symplectic nature of the coefficient and transformation matrices, respectively. Use of this algebraic structure of the problem is shown to be in line with an approach developed by Fano and Klar [Klar and Fano, Phys.
AQUILANTI, Vincenzo   +2 more
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Adiabatic Decoupling Sidebands

Journal of Magnetic Resonance, 2000
An analytical solution is given for amplitudes and phases of adiabatic decoupling sidebands as a function of spin inversion time tau. Since all the adiabatic decoupling phases theta(t, tau) refocus at two periods (2T) of the decoupling pulse, the sidebands are located at n/2T rather than at n/T as observed in other decoupling schemes.
S, Zhang, D G, Gorenstein
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Asynchronous Adiabatic Logic

2007 IEEE International Symposium on Circuits and Systems, 2007
Power clock generators (PCGs) are the prevalent overhead for the adiabatic systems and mutilate all the low-power advantage from the adiabatic logic part by consuming a large portion of the total power in the clock generation circuitry (Arsalan and Shams, 2005).
Muhammad Arsalan, Maitham Shams
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Universal Equations for Linear Adiabatic Pulses and Characterization of Partial Adiabaticity

Journal of Magnetic Resonance, 2002
A numerical analysis of the sech/tanh (or hyperbolic secant) and tanh/tan adiabatic inversion pulses provides a set of master equations for each type of pulse that guarantee their optimal implementation over a wide range of practical conditions without needing to further simulate the inversion profiles of the pulses.
Tesiram, Yasvir A., Bendall, M. Robin
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Adiabatic Amplifier and Power Analysis of Different Adiabatic Inverters

2012
This paper proposes a new method of reducing the energy dissipation. Adiabatic logic style is proving to be an attractive solution for low power digital design. Many researchers have introduced different adiabatic logic styles in last few years and proved that these are better than CMOS.
Shilpa Katre   +2 more
openaire   +1 more source

Synchronized Adiabatic Decoupling

Journal of Magnetic Resonance, 2000
A new decoupling scheme termed "synchronized adiabatic decoupling" is developed for use in the indirectly detected dimension. After each increment, the decoupling sequence is replaced by another one with different period T or different initial period T(ini) so that sampling always occurs at the end of a complete decoupling period.
S, Zhang, D G, Gorenstein
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ADIABATIC ROTATION FOR THE SKYRMIONS

Modern Physics Letters A, 1993
We study the electromagnetic properties of the skyrmions of the O(3) nonlinear sigma model in (2+1) dimensions coupled with the Chern-Simons field by the adiabatic rotation procedure. It is shown that there is no Poynting vector for the skyrmion configuration and the Chern-Simons gauge field.
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Adiabatic and isothermal resistivities

Physical Review B, 1989
The force-balance method is used to calculate the isothermal resistivity to first order in the electric field. To lowest order in the impurity potential, the isothermal resistivity disagrees with the adiabatic results of the Kubo formula and the Boltzmann equation.
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Exact study of adiabaticity

Physical Review A, 1992
A practical example, which admits a fully exact solution, is presented and then employed to study adiabaticity. The example consists of an oscillator whose oscillation frequency changes at a finite rate within a finite time interval. An analytically exact formula is given for the adiabatic ratio, which is a good measure of the adiabaticity. General and
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Classical adiabatic angles and quantal adiabatic phase

Journal of Physics A: Mathematical and General, 1985
A semiclassical connection is established between quantal and classical properties of a system whose Hamiltonian is slowly cycled by varying its parameters round a circuit. The quantal property is a geometrical phase shift \(\gamma_ n\) associated with an eigenstate with quantum numbers \(n=\{n_ l\}\); the classical property is a shift \(\Delta \theta_
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