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Talk:Mathematical descriptions of the electromagnetic field

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displays, which can be jarring. In time, presumably MathJax will replace the PNG math display, and then we'll have a whole new bunch of complaints and preferences. For now, the simplest is to stick to making the style consistent within the article. —
992:{\displaystyle \mathrm {d} {\star \mathbf {F} }={\frac {1}{6}}{F^{\alpha \beta }}_{;\alpha }{\sqrt {-g}}\,\varepsilon _{\beta \gamma \delta \alpha }\mathrm {d} x^{\gamma }\wedge \mathrm {d} x^{\delta }\wedge \mathrm {d} x^{\alpha }=\mathbf {J} ,} 829:{\displaystyle \mathrm {d} {\star \mathbf {F} }={\frac {1}{6}}{F^{\alpha \beta }}_{;\alpha }{\sqrt {-g}}\,\varepsilon _{\beta \gamma \delta \eta }\mathrm {d} x^{\gamma }\wedge \mathrm {d} x^{\delta }\wedge \mathrm {d} x^{\eta }=\mathbf {J} ,} 450:
I think this is one of those instances where preferences differ (I've seen people making changes in both directions). People who have default browser serif and sans-serif fonts that work well together will often prefer the inline
553: 178: 511: 366:. These vector fields each have a value defined at every point of space and time and are thus often regarded as functions of the space and time coordinates. As such, they are often written as 288:. These vector fields each have a value defined at every point of space and time and are thus often regarded as functions of the space and time coordinates. As such, they are often written as 601: 520: 272:
I don't understand the point of the math template for the inline text - it simply disrupts the font appearance between arial and whatever the math template font is. For things like:
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I think because our dimension is composed of four spacetime, we should use four coordinate indices. But I'm still not sure about converting, especially for the order of
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which is far cleaner and less to write with no loss of continuity... For this article I will change math to hmtl (inline symbols, not displayed formulae).
524: 444: 597: 513: 1004: 262: 162:"In the potential formulation, there are only four quantities, the electric potential and the three components of the scalar potential." 668: 1031: 130: 157: 1026: 651: 619: 574: 542: 494: 433: 251: 106: 83: 97: 58: 410:
is the current per unit area, also a function of time and position. The units used above are the standard
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is the current per unit area, also a function of time and position. The units used above are the standard
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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is this a mistake? should it say "and the three components of the magnetic vector potential" ?
212: 185: 267: 39: 461:, because then there is no clash and there is less inconsistency between the inline and the 8: 1008: 390:"where ρ is the charge density, which can (and often does) depend on time and position, ε 638: 606: 561: 529: 481: 420: 354:"The most common description of the electromagnetic field to use two three-dimensional 276:"The most common description of the electromagnetic field to use two three-dimensional 238: 470: 403: 395: 333: 322: 1000: 363: 359: 314:
is the charge density, which can (and often does) depend on time and position,
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Also the entire section on covariant tensor forms - see the same link.
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I will remove the relativistic material from this article to
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Merge banners to be removed, no favour, one opposition.
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Covariant formulation of classical electromagnetism
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(By no means insert 182:needs expansion, including what 82: 72: 51: 20: 1032:Low-importance physics articles 135:This article has been rated as 1: 115:Knowledge:WikiProject Physics 109:and see a list of open tasks. 1027:Start-Class physics articles 1013:23:03, 3 February 2024 (UTC) 118:Template:WikiProject Physics 7: 10: 1053: 263:16:27, 29 March 2012 (UTC) 141:project's importance scale 229:{\displaystyle \psi ^{-}} 202:{\displaystyle \psi ^{+}} 134: 67: 46: 663:12:44, 22 May 2012 (UTC) 631:14:50, 21 May 2012 (UTC) 586:14:50, 21 May 2012 (UTC) 554:15:15, 19 May 2012 (UTC) 506:14:29, 18 May 2012 (UTC) 473:14:24, 18 May 2012 (UTC) 445:20:53, 17 May 2012 (UTC) 374:) (electric field) and 993: 830: 230: 203: 28:This article is rated 994: 831: 295:(electric field) and 231: 204: 840: 677: 527:into this article). 382:) (magnetic field)." 213: 186: 673:Is it right to say 350:we can just write: 98:WikiProject Physics 989: 907: 826: 744: 592:Removal of content 302:(magnetic field)." 226: 199: 34:content assessment 904: 869: 741: 706: 404:magnetic constant 396:electric constant 334:magnetic constant 323:electric constant 155: 154: 151: 150: 147: 146: 1044: 1001:exterior product 998: 996: 995: 990: 985: 977: 976: 967: 959: 958: 949: 941: 940: 931: 926: 925: 905: 897: 895: 894: 886: 885: 884: 870: 862: 857: 856: 847: 835: 833: 832: 827: 822: 814: 813: 804: 796: 795: 786: 778: 777: 768: 763: 762: 742: 734: 732: 731: 723: 722: 721: 707: 699: 694: 693: 684: 661: 629: 584: 552: 504: 464: 460: 454: 443: 341: 331: 320: 313: 301: 294: 261: 235: 233: 232: 227: 225: 224: 208: 206: 205: 200: 198: 197: 123: 122: 121:physics articles 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 47: 31: 25: 24: 16: 1052: 1051: 1047: 1046: 1045: 1043: 1042: 1041: 1017: 1016: 981: 972: 968: 963: 954: 950: 945: 936: 932: 927: 912: 908: 896: 887: 877: 873: 872: 871: 861: 852: 848: 843: 841: 838: 837: 818: 809: 805: 800: 791: 787: 782: 773: 769: 764: 749: 745: 733: 724: 714: 710: 709: 708: 698: 689: 685: 680: 678: 675: 674: 671: 659: 655: 637: 627: 623: 605: 594: 582: 578: 560: 550: 546: 528: 518: 502: 498: 480: 462: 458: 452: 441: 437: 419: 401: 393: 337: 330: 326: 319: 315: 311: 296: 289: 270: 259: 255: 237: 220: 216: 214: 211: 210: 193: 189: 187: 184: 183: 174: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 1050: 1040: 1039: 1034: 1029: 988: 984: 980: 975: 971: 966: 962: 957: 953: 948: 944: 939: 935: 930: 924: 921: 918: 915: 911: 903: 900: 893: 890: 883: 880: 876: 868: 865: 860: 855: 851: 846: 825: 821: 817: 812: 808: 803: 799: 794: 790: 785: 781: 776: 772: 767: 761: 758: 755: 752: 748: 740: 737: 730: 727: 720: 717: 713: 705: 702: 697: 692: 688: 683: 670: 667: 666: 665: 657: 653: 625: 621: 593: 590: 589: 588: 580: 576: 548: 544: 517: 510: 509: 508: 500: 496: 476: 475: 439: 435: 416: 415: 399: 391: 384: 383: 364:magnetic field 360:electric field 348: 347: 328: 317: 304: 303: 286:magnetic field 282:electric field 269: 266: 257: 253: 223: 219: 196: 192: 173: 170: 159: 156: 153: 152: 149: 148: 145: 144: 137:Low-importance 133: 127: 126: 124: 107:the discussion 94: 93: 90:Physics portal 77: 65: 64: 62:Low‑importance 56: 44: 43: 37: 26: 9: 6: 4: 3: 2: 1049: 1038: 1035: 1033: 1030: 1028: 1025: 1024: 1022: 1015: 1014: 1010: 1006: 1002: 986: 978: 973: 969: 960: 955: 951: 942: 937: 933: 922: 919: 916: 913: 909: 901: 898: 891: 888: 881: 878: 874: 866: 863: 858: 849: 823: 815: 810: 806: 797: 792: 788: 779: 774: 770: 759: 756: 753: 750: 746: 738: 735: 728: 725: 718: 715: 711: 703: 700: 695: 686: 664: 660: 650: 648: 643: 641: 635: 634: 633: 632: 628: 618: 616: 611: 609: 603: 599: 587: 583: 573: 571: 566: 564: 558: 557: 556: 555: 551: 541: 539: 534: 532: 526: 522: 515: 507: 503: 493: 491: 486: 484: 478: 477: 474: 471: 469: 463:<math: --> 457: 449: 448: 447: 446: 442: 432: 430: 425: 423: 413: 409: 405: 397: 389: 388: 387: 381: 377: 373: 369: 365: 361: 357: 356:vector fields 353: 352: 351: 345: 340: 335: 324: 309: 308: 307: 299: 292: 287: 283: 279: 278:vector fields 275: 274: 273: 268:math template 265: 264: 260: 250: 248: 243: 241: 221: 217: 194: 190: 181: 180: 169: 166: 163: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 49: 45: 41: 35: 27: 23: 18: 17: 672: 646: 639: 614: 607: 595: 569: 562: 537: 530: 519: 489: 482: 428: 421: 417: 407: 385: 379: 375: 371: 367: 349: 338: 305: 300:(x, y, z, t) 297: 293:(x, y, z, t) 290: 271: 246: 239: 177: 176:The section 175: 167: 164: 161: 136: 96: 40:WikiProjects 358:called the 280:called the 30:Start-class 1021:Categories 380:x, y, z, t 372:x, y, z, t 1005:Watsondoe 602:see here 598:that one 521:See here 516:to here? 479:Agreed. 412:SI units 362:and the 344:SI units 284:and the 468:Quondum 402:is the 394:is the 332:is the 321:is the 310:"where 168:thanks 139:on the 112:Physics 103:Physics 59:Physics 512:Merge 406:, and 336:, and 36:scale. 647:E+v×B 615:E+v×B 570:E+v×B 538:E+v×B 490:E+v×B 429:E+v×B 247:E+v×B 236:are. 1009:talk 456:math 386:or: 306:or: 209:and 836:or 652:⇄ ∑ 620:⇄ ∑ 575:⇄ ∑ 543:⇄ ∑ 495:⇄ ∑ 434:⇄ ∑ 398:, μ 252:⇄ ∑ 172:QED 131:Low 1023:: 1011:) 1003:. 974:α 961:∧ 956:δ 943:∧ 938:γ 923:α 920:δ 917:γ 914:β 910:ε 899:− 892:α 882:β 879:α 850:⋆ 811:η 798:∧ 793:δ 780:∧ 775:γ 760:η 757:δ 754:γ 751:β 747:ε 736:− 729:α 719:β 716:α 687:⋆ 645:q( 613:q( 604:. 600:- 568:q( 536:q( 488:q( 459:}} 453:{{ 427:q( 414:." 346:." 325:, 245:q( 222:− 218:ψ 191:ψ 1007:( 987:, 983:J 979:= 970:x 965:d 952:x 947:d 934:x 929:d 902:g 889:; 875:F 867:6 864:1 859:= 854:F 845:d 824:, 820:J 816:= 807:x 802:d 789:x 784:d 771:x 766:d 739:g 726:; 712:F 704:6 701:1 696:= 691:F 682:d 658:i 656:c 654:i 649:) 642:= 640:F 626:i 624:c 622:i 617:) 610:= 608:F 581:i 579:c 577:i 572:) 565:= 563:F 549:i 547:c 545:i 540:) 533:= 531:F 501:i 499:c 497:i 492:) 485:= 483:F 440:i 438:c 436:i 431:) 424:= 422:F 408:J 400:0 392:0 378:( 376:B 370:( 368:E 339:J 329:0 327:μ 318:0 316:ε 312:ρ 298:B 291:E 258:i 256:c 254:i 249:) 242:= 240:F 195:+ 143:. 42::

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Extension to quantum electrodynamics
F =
q(E+v×B)
⇄ ∑ici
16:27, 29 March 2012 (UTC)
vector fields
electric field
magnetic field
electric constant
magnetic constant
SI units
vector fields
electric field
magnetic field
electric constant
magnetic constant
SI units

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