A qa'ida ta superposition da aikace-aikace iyaka

A qa'ida ta superposition ne halin a cewa da shi aka samu a da yawa wurare na kimiyyar lissafi. Wannan shi ne wani wuri wanda aka yi amfani a wasu lokuta. Wannan shi ne daya daga cikin na kowa jiki da dokoki kan abin da kimiyyar lissafi a matsayin kimiyya. Wannan abin da ya ke sananne ga masana kimiyya suka yi amfani da shi a cikin yanayi daban-daban.

Idan muka yi la'akari da superposition manufa a cikin wani sosai janar ji, bisa ga shi, Naira Miliyan Xari da waje sojojin aiki a kan barbashi aka hada da mutum dabi'u ga kowane daga cikinsu.

Wannan ka'ida ta shafi daban-daban mikakke tsarin, Ina nufin Irin wannan tsarin wanda halayyar za a iya bayyana ta mikakke lissafai. An misali ne mai sauki halin da ake ciki inda a mikakke kalaman farfagandar a wani musamman yanayi, wanda idan da kaddarorin za a kiyaye ko da a ƙarƙashin rinjayar disturbances tasowa daga kalaman. Wadannan Properties ana ayyana a matsayin takamaiman adadin da sakamakon kowane daga cikin masu jituwa aka gyara.

Fields na aikace-aikace

Kamar yadda aka ambata riga, da superposition manufa ne quite m, a ikon yinsa. Mai fili ta sakamako za a iya gani a electrodynamics. Duk da haka, yana da muhimmanci a tuna cewa idan akai la'akari da manufa na superposition, kimiyyar lissafi ba la'akari da ta musamman da hakan ba, wato da sakamakon da ka'idar electrodynamics.

Alal misali, a electrostatics aiki manufa aiki a cikin binciken na da electrostatic filin. cajin tsarin, a kuma wani batu halitta tashin hankali, wanda zai kunshi Naira Miliyan Xari da filin karfi na kowane daga cikin cajin. Wannan fitarwa da ake amfani a yi saboda ana iya amfani da yin lissafi da m makamashi na electrostatic hulda. A wannan yanayin wajibi ne yin lissafi da m makamashi na kowanne mutum cajin.

Wannan aka tabbatar da Maxwell lissafi, wanda shi ne mikakke a vacuo. Yana kuma haka daga gaskiya cewa haske ba a warwatse, da kuma kara linearly, don haka da mutum bim ba hulɗa tare da juna. A kimiyyar lissafi, wannan sabon abu ne sau da yawa ake magana a kai a matsayin ka'ida na superposition a kimiyyan gani da hasken wuta.

Ya kamata kuma a lura da cewa a cikin gargajiya kimiyyar lissafi superposition manufa haka daga linearity na lissafai na motsi na mutum mikakke tsarin, don haka shi ne kimantawa. Yana dogara ne a kan a-zurfin karfafan dokoki, amma kusanci sa shi ba duniya, da kuma ba da muhimman hakkokin.

A musamman da karfi gravitational filin bayyana wasu lissafai, wadanda ba mikakke, duk da haka da manufa ba za a iya amfani da a cikin wadannan yanayi. Macroscopic electromagnetic filin ne ma ba batun wannan manufa, kamar yadda shi ya dogara da tasiri na waje filayen.

Duk da haka, da manufa na superposition na sojojin ne na asali a cikin jimla kimiyyar lissafi. Idan da sauran wurare da aka yi amfani da wasu kurakurai, cewa a jimla matakin aiki quite sosai. Duk wani jimla-inji tsarin da aka wakilta kalaman ayyuka da kuma vectors na wani mikakke sarari, kuma idan yana magana zuwa mikakke aiki, sa'an nan ta Halin aka bayyana ta da manufa na superposition, watau, Yana da aka hada da wani superposition na kowace jiha da kuma kalaman aiki.

A ikon yinsa, daga fairly al'ada. A lissafai na gargajiya electrodynamics ne mikakke, amma ba a asalin doka. Mafi yawa daga cikin muhimman hakkokin theories kimiyyar lissafi ne bisa maras mike lissafai. Wannan yana nufin cewa a su da manufa na superposition ba a yi a nan sun hada da janar ka'idar dangantakar, jimla chromodynamics, da kuma Yang-Mills ka'idar.

A wasu tsarin inda da linearity ka'idojin ne m kawai a sashi, na iya conventionally a iya amfani da manufa na superposition, misali, mai rauni gravitational interactions. Bugu da ƙari kuma, a lokacin da la'akari da hulda da kwayoyin zarra da kwayoyin kamar yadda qa'ida ta superposition ba riƙe, wannan ya bayyana iri-iri na zahiri da kuma sinadaran Properties na kayan.