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AssigneeBundesrepublik Deutschland, vertreten dirch das Bundes-ministerium für Wirtschaft und Arbeit, dieses vertreten durch den Präsidenten der Physikalisch- Technischen Bundesanstalt
InventorLorenz Mitschang
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The invention relates to a method for calculating parameters fro frequency and/or amplitude modulated electromagnetic pulses for adiabatic transfer steps in a quantum mechanical system. The dynamic steps of the quantum mechanic system comprise a Hamilton Operator (H(t)) of a current system of co-ordinates. The inventive method consists of the following steps: a) transformation of the Hamilton Operator (H(t)) of a current system of co-ordinates into a subsequent system of co-ordinates for describing the t time depandency of the change in direction of the Hamilton Operator (H(t)); b) determination of the automatic commutation of the Hamilton Operator (H(t)) at a time t and the Hamilton Operator (H(t′)) at a time t′ in the corresponding system of co-ordinates, whereby a differential equation system is obtained; c) calculation of the parameters from the differential equation system thus obtained.
A method for calculation of parameters for frequency-modulated and/or amplitude-modulated electromagnetic pulses for adiabatic transfer processes in a quantum-mechanical system, with the dynamic processes in the quantum-mechanical system being described by a Hamilton operator (H(t)) in an instantaneous coordinate system, characterized by
The method as claimed in one of the preceding claims, characterized by the self-commutation being determined by calculation of the operator equation:
The method as claimed in one of the preceding claims, characterized in that the rotation angle (θ) rises monotonally from zero to a maximum value (θmax) over time for each transformation of the coordinate system.
The method as claimed in one of the preceding claims, characterized by the differential equation system which is produced being solved using a secondary condition for the physical system under consideration.
The method as claimed in one of the preceding claims, characterized by the type of coordinates that are used being chosen as a function of the secondary conditions for the system under consideration.
The method as claimed in one of the preceding claims, characterized by the differential equation system which is produced being solved as an initial value problem for calculation of the parameters.
The method as claimed in one of the preceding claims, characterized by transformation of the coordinate system through a fixed offset angle (θi) between the defined Z axis of the coordinate system and the Hamilton operator (H(t)).
The method as claimed in one of the preceding claims for calculation of the parameters for the Zeeman frequency, which can also be determined by linear gradient fields.
The method as claimed in one of the preceding claims, characterized by calculation of the parameters for frequency-modulated and/or amplitude-modulated electromagnetic pulses from two or more radiation sources.
The method as claimed in one of the preceding claims for calculation of the parameters for mechanical rotation of the sample, in particular the orientation and the rotation frequency.
A computer program product having program code means for carrying out the method as claimed in one of the preceding claims when the computer program is run on a data processing processor.
Dependencies are inferred from the claim text.