Method for adjusting phase consistency of ultracold scattering channel wave functions of three-atom system on basis of adjacent position coupling integral

A technology of adjacent position and phase adjustment, applied in complex mathematical operations and other directions, can solve problems such as large amount of calculation, and achieve the effect of easy implementation

Inactive Publication Date: 2017-05-31
DALIAN UNIV OF TECH
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  • Method for adjusting phase consistency of ultracold scattering channel wave functions of three-atom system on basis of adjacent position coupling integral
  • Method for adjusting phase consistency of ultracold scattering channel wave functions of three-atom system on basis of adjacent position coupling integral

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[0025] The specific implementation manners of the present invention will be further described below in combination with examples and technical solutions.

[0026] The implementation steps of the scheme of the present invention are as follows:

[0027] Consider the system channel wave function Φ v (R i ; Ω) has 5 positions, namely R i , i=1,2,3,4,5. We unify the phases of the wave functions at these 5 locations using the scheme described in this invention. Specific steps are as follows:

[0028] Step 1: Select R 1 The reference hyperspherical harmonic function at and adjust R 1 The channel wave function Φ at v (R 1 ; Ω) phase. use R 1 channel wave function Φ v (R 1 ; Ω) Ω distribution grid points to solve equation (1), get a series of hyperspherical harmonic functions Φ ξ HHS (Ω), ξ=1,2,3,…; from the lowest order hyperspherical harmonic function Φ 1 HHS (Ω) start, calculate the integral A=ξHHS (Ω)|Φ v (R 1 ;Ω)> Ω , ξ=1,2,3,..., select the lowest-order hypersp...

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Abstract

The invention provides a method for adjusting phase consistency of ultracold scattering channel wave functions of a three-atom system on the basis of adjacent position coupling integral and belongs to the field of ultracold atoms and molecule physics related quantum mechanical theory. The method includes that under the condition that the phase of channel wave functions phiV (R1, omega) at the position of R1 is well adjusted, and the channel functions phiv (R1, omega) at the position of the R1 are adjusted to the same phase one by one; only hypersphere harmonic functions phi <HHS> (omega) at the position of the R1 are taken as reference functions, and the channel wave functions at the position of Ri-1 are used at the position of Ri. With the method, the situation that the hypersphere harmonic functions phi <HHS> (omega) are taken as the reference functions at all the positions is avoided, and calculated amount is reduced; the phase is adjusted through integral of the channel wave functions at the neighboring positions, and numerical calculation is more easy to implement.

Description

technical field [0001] The invention relates to a method for controlling the phase consistency of a wave function of an ultracold scattering channel of a three-atom system based on coupling integrals at two adjacent positions, and belongs to the field of theoretical calculation of quantum mechanics related to ultracold atoms and molecular physics. Background technique [0002] Under the condition of ultracold (mK, uK or even nK level temperature), many strange phenomena (such as Feshbach resonance, Efimov effect, etc.) will occur in the interaction between atoms and molecules. Studying the physical interaction process of atoms and molecules in an ultra-cold environment is of great scientific significance for people to understand the structure of matter, discover new physical phenomena, and control chemical reactions. The theoretical calculation of full-dimensional quantum mechanics plays an important role in the scientific research of ultracold atomic and molecular physics. ...

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Application Information

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IPC IPC(8): G06F17/15
CPCG06F17/15
Inventor 韩永昌
Owner DALIAN UNIV OF TECH
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