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Hamilton Jacobi Theory - Handwritten Notes | PHYS 5210, Study notes of Physics

Material Type: Notes; Professor: Sackett; Class: Theoretical Mechanics I; Subject: Physics; University: University of Virginia; Term: Fall 2008;

Typology: Study notes

Pre 2010

Uploaded on 03/19/2009

koofers-user-e14
koofers-user-e14 🇺🇸

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Download Hamilton Jacobi Theory - Handwritten Notes | PHYS 5210 and more Study notes Physics in PDF only on Docsity! Lecture 21 bHemilten= Tecebi theecy Have. it Cpe, 4). _ Weak es a CP, Conenicel tlens Folin Por Pits- + --4ye 2 Oe. serecetedl by. Sloe, e.) Uh v y S | o ew oY “” | Boe oy > 4 \2 O if 8 Q € as ‘DS Hl 40,40) + 3b 7 O Solve this, POE to. get. S CP 3: solution constants x, “Tv : Cusnelly Se pareti on tonsts) OS equetions of mefien From Qet ye = const or >S Keplee problem Be > 3a, Pe Pe x LM amen. 7 to PASO cif BEAR ye GS oo (E) 1 cal xe) ~ St VW FO DH QH ot REPO tery G=Wlr\- x tro, g oe SH TteYe. Re Cognize. oe pa \y Le} 2 Pn 29r. yes 6 (t) Same lateyer te ae Hlro\ od Note, ae did't need to know Here “they ore corsteacds thet + pet tools. wsek to. solve. poe blean e Provides aon oe Loewe ep prosch to soluiny ery rmechenies problens. Ertective ony. tome Hen ttonien 1s sepecetles Coordi ects Ne LSP peels erly in combinetion Fla. pe) tn u “ Pretty oe ere! gee Lenchare Litchita foc efeils 4 21,2 + Se clessicel ection > phese of Wwese Conetion Used in poth- ictescal Focmelebion of Qm Qeeatow pertiel 7s + * 4 tekey git pets Los A tiem A to & my é ech path bes plese B= b * action TPS vertes cepiclly, emnplttaces far meerly peths concel > low probability to reech & wos stelronery neerby peths adel ep 5 lerye prob to Cad pectic le ow potk where $5 =O | SD Hem: !tons pore ple ee | [Se thet eyplerns how clessical theory dlevelops | from Qqy [Hows cdo we mele qpedtan theory fiom clessice! one? Use Poisson breckets Suppose Flay, Pe ot) J G las, fo 1} ath functors | ebine > YS [Fo lpg: 2 Se SPr ~ 2p a4e > another fen of “5 s ps Consider fue be for Hew ltonies H by fF BH de Pu,P lege © de Be” Spe Be 2g GB ote = - ( a qe Or ay — LH, F ean ot motion te £ Exe mple x He LH mney mR ghee BH Be Fr 2 [uw 2p? 33 3p ~ 3p 3a n ar bp BH de Fs p Leeks De os Mp . 32 = ms 7 OQ d if - _ Cie = ome p33 : TH woe werted Fo sen , couled get ine detiuetive oe . Note (F Se5O 6 CH PY=O | shen PF const Car tnslence, fH also elweys £0 At ~ 3% PEM oepredg _ Dia septs 39-94 2=( 9's) wim ™! S70 p2pr ire ? ws sprees essays 22 ¥So> ay! the, ih td 94 og! 3S ~ Ve - -¢ at ‘af BQ ay ade Oo ~ . (PS. Se J2 = *%e we _ de te 3 eae 7% 32 7 a 477 ‘ 1% cm LPP SMa! PZ. C%Y "OJ H 25 : , pre ve vr gi (OT) eC) oyomraperaap yr yA47 oy oma E says Salad ayo od a Jenavaryod Pyey Srotpr}?4 Psay yl esy . Le Pr D > g B= (oe _ Ig arg 2 « ete de _tde the f° cad 199 ve Foe We Me F Fe TH 2s Op rrr Red |
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