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J xy wv wu ,
wx wy

J yz ww wv .
wy wz

Ԕɨɪɵɬɚ ɤɟɥɝɟɧɞɟ, wu , J xy wv wu ,
Hx wx wx wy
Hy
wv , J yz ww wv , (8.29)
Hz wy wy wz

ww , J zx wu ww .
wz wz wx

§7. Ȼɚɫ ɞɟɮɨɪɦɚɰɢɹɥɚɪ. Ȼɚɫ ɨɫɶɬɟɪ

Ⱦɟɮɨɪɦɚɰɢɹɥɚɧԑɚɧ ɤԛɣɞɿ ɡɟɪɬɬɟɝɟɧɞɟ ɨɧɵԙ ԕɚɫɢɟɬɬɟɪɿ ɤɟɪɧɟɥɝɟɧ ɤԛɣɞɿԙ
ԕɚɫɢɟɬɬɟɪɿɧɟ ԝԕɫɚɫ ɟɤɟɧɿɧ ɤԧɪɟɦɿɡ. Ɂɟɪɬɬɟɥɿɩ ɨɬɵɪԑɚɧ, ɤɟɡ ɤɟɥɝɟɧ ɧԛɤɬɟ
ɚɪԕɵɥɵ ԧɬɟɬɿɧ ɛɚɪɥɵԕ ɨɫɶɬɟɪɞɿԙ ɚɪɚɫɵɧɞɚ, ɛԝɪɵɲɬɵԕ ɞɟɮɨɪɦɚɰɢɹ
ɛɨɥɦɚɣɬɵɧ, ԧɡɚɪɚ ɩɟɪɩɟɧɞɢɤɭɥɹɪ ԛɲ ɨɫɶ ɛɨɥɚɬɵɧɵɧɚ ɤԧɡɿɦɿɡ ɠɟɬɟɞɿ. Ȼԝɥ
ɨɫɶɬɟɪ ɞɟɮɨɪɦɚɰɢɹɥɚɧԑɚɧ ɤԛɣɞɿԙ ɛɚɫ ɨɫɶɬɟɪɿ, ɚɥ ɨɥɚɪɞɚԑɵ ɫɵɡɵԕɬɵԕ
ɞɟɮɨɪɦɚɰɢɹɥɚɪ ɛɚɫ ɞɟɮɨɪɦɚɰɢɹɥɚɪ ɞɟɩ ɚɬɚɥɚɞɵ. Ȼɚɫ ɞɟɮɨɪɦɚɰɢɹɥɚɪ
ɬԧɦɟɧɞɟ ɤɟɥɬɿɪɿɥɝɟɧ ԛɲɿɧɲɿ ɞԥɪɟɠɟɥɿ ɬɟԙɞɟɭɞɟɧ ɬɚɛɵɥɚɞɵ:

H 3 J I ˜ H 2 J II ˜ H J III 0 . (8.30)

Ȼԝɥ ɬɟԙɞɟɭɞɟɝɿ ɤɨɷɮɮɢɰɢɟɧɬɬɟɪ, ɞɟɮɨɪɦɚɰɢɹɥɚɧԑɚɧ ɤԛɣɞɿԙ ɢɧɜɚ-
ɪɢɚɧɬɬɚɪɵ ɛɨɥɵɩ ɬɚɛɵɥɚɞɵ. Ɉɥɚɪ:

JI Hx Hy Hz, (8.31)

J II Hx ˜H y Hy ˜Hz Hz ˜Hx 1 J 2 1 J 2 1 J 2 , (8.32)
4 xy 4 yz 4 zx

H x ˜ ˜ ˜ 1 J xy ˜ ˜ ˜ 1 J xy
2 2

J III 1 J yx ˜˜˜H y ˜ ˜ ˜ 1 J yz . (8.33)
2 2

1 J zx ˜ ˜ ˜ 1 J zy ˜ ˜ ˜ H z
2 2

Ɇɚɬɟɪɢɚɥɞɚɪ ɤɟɞɟɪɝɿɫɿɧɞɟ ɤԧɥɟɦɞɿɤ ɞɟɮɨɪɦɚɰɢɹ ɞɚ, ɛɚɫԕɚɲɚ ɚɣɬԕɚɧɞɚ,
ɧԛɤɬɟ ɦɚԙɵɧɞɚԑɵ ɤԧɥɟɦɧɿԙ ɫɚɥɵɫɬɵɪɦɚɥɵ ԧɡɝɟɪɭɿ ɞɟ ԕɚɪɚɫɬɵɪɵɥɚɞɵ.

ɗɥɟɦɟɧɬɚɪ ɩɚɪɚɥɥɟɥɟɩɢɩɟɞɬɿԙ ԧɥɲɟɦɞɟɪɿ (dx, dy, dz) ɞɟɮɨɪɦɚɰɢɹ
ԥɫɟɪɿɧɟɧ dx(1+ Hx), dy(1+ Hy) ɠԥɧɟ dz(1+ Hz) ɛɨɥɵɩ ԧɡɝɟɪɟɞɿ. Ȼԝɥ ɤɟɡɞɟ,

ɤԧɥɟɦɧɿԙ ɚɛɫɨɥɸɬ ԧɡɝɟɪɭɿ

'V V1 V

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