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Coulomb operator

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25: 667: 303: 150: 354: 476: 708: 402: 540: 506: 436: 592: 566: 640: 701: 108: 42: 742: 727: 694: 89: 737: 61: 46: 298:{\displaystyle {\widehat {J}}_{j}(1)f_{i}(1)=f_{i}(1)\int {\left|\varphi _{j}(2)\right|}^{2}{\frac {1}{r_{12}}}\,dr_{2}} 68: 126: 732: 75: 57: 35: 314: 133: 604: 445: 674: 646: 636: 609: 371: 137: 130: 82: 141: 515: 481: 411: 571: 545: 678: 721: 405: 632:
Computational chemistry and molecular modeling : principles and applications
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Quantum mechanical operator used in the field of quantum chemistry
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Coulomb operator defining the repulsion resulting from electron
18: 635:. G. Deepa, K. Namboori. Berlin: Springer. p. 107. 682: 574: 548: 518: 484: 448: 414: 374: 317: 153: 49:. Unsourced material may be challenged and removed. 586: 560: 534: 500: 470: 438:electron being acted upon by the Coulomb operator, 430: 396: 348: 297: 702: 8: 140:. Specifically, it is a term found in the 709: 695: 573: 547: 523: 517: 489: 483: 453: 447: 419: 413: 379: 373: 331: 320: 319: 316: 289: 281: 273: 264: 258: 237: 227: 208: 186: 167: 156: 155: 152: 109:Learn how and when to remove this message 478:is the one-electron wavefunction of the 621: 349:{\displaystyle {\widehat {J}}_{j}(1)} 7: 663: 661: 47:adding citations to reliable sources 542:is the distance between electrons 14: 665: 23: 471:{\displaystyle \varphi _{j}(2)} 34:needs additional citations for 581: 575: 555: 549: 465: 459: 391: 385: 343: 337: 249: 243: 220: 214: 198: 192: 179: 173: 1: 681:. You can help Knowledge by 629:Ramachandran, K. I. (2008). 127:Charles-Augustin de Coulomb 759: 660: 397:{\displaystyle f_{i}(1)} 743:Computational chemistry 728:Quantum chemistry stubs 677:-related article is a 588: 562: 536: 535:{\displaystyle r_{ij}} 502: 501:{\displaystyle j^{th}} 472: 432: 431:{\displaystyle i^{th}} 398: 350: 299: 738:Theoretical chemistry 589: 563: 537: 503: 473: 433: 399: 351: 300: 144:. It is defined as: 136:used in the field of 572: 546: 516: 482: 446: 412: 404:is the one-electron 372: 315: 151: 43:improve this article 587:{\displaystyle (j)} 561:{\displaystyle (i)} 584: 558: 532: 498: 468: 428: 394: 346: 295: 131:quantum mechanical 58:"Coulomb operator" 733:Quantum chemistry 690: 689: 675:quantum chemistry 642:978-3-540-77304-7 610:Exchange operator 328: 279: 164: 138:quantum chemistry 119: 118: 111: 93: 750: 711: 704: 697: 669: 662: 655: 654: 626: 605:Core Hamiltonian 593: 591: 590: 585: 567: 565: 564: 559: 541: 539: 538: 533: 531: 530: 507: 505: 504: 499: 497: 496: 477: 475: 474: 469: 458: 457: 437: 435: 434: 429: 427: 426: 403: 401: 400: 395: 384: 383: 355: 353: 352: 347: 336: 335: 330: 329: 321: 304: 302: 301: 296: 294: 293: 280: 278: 277: 265: 263: 262: 257: 256: 252: 242: 241: 213: 212: 191: 190: 172: 171: 166: 165: 157: 123:Coulomb operator 114: 107: 103: 100: 94: 92: 51: 27: 19: 758: 757: 753: 752: 751: 749: 748: 747: 718: 717: 716: 715: 659: 658: 643: 628: 627: 623: 618: 601: 570: 569: 544: 543: 519: 514: 513: 485: 480: 479: 449: 444: 443: 415: 410: 409: 375: 370: 369: 318: 313: 312: 285: 269: 233: 232: 228: 226: 204: 182: 154: 149: 148: 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 756: 754: 746: 745: 740: 735: 730: 720: 719: 714: 713: 706: 699: 691: 688: 687: 670: 657: 656: 641: 620: 619: 617: 614: 613: 612: 607: 600: 597: 596: 595: 583: 580: 577: 557: 554: 551: 529: 526: 522: 510: 509: 495: 492: 488: 467: 464: 461: 456: 452: 440: 439: 425: 422: 418: 393: 390: 387: 382: 378: 366: 365: 345: 342: 339: 334: 327: 324: 306: 305: 292: 288: 284: 276: 272: 268: 261: 255: 251: 248: 245: 240: 236: 231: 225: 222: 219: 216: 211: 207: 203: 200: 197: 194: 189: 185: 181: 178: 175: 170: 163: 160: 125:, named after 117: 116: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 755: 744: 741: 739: 736: 734: 731: 729: 726: 725: 723: 712: 707: 705: 700: 698: 693: 692: 686: 684: 680: 676: 671: 668: 664: 652: 648: 644: 638: 634: 633: 625: 622: 615: 611: 608: 606: 603: 602: 598: 578: 552: 527: 524: 520: 512: 511: 493: 490: 486: 462: 454: 450: 442: 441: 423: 420: 416: 407: 388: 380: 376: 368: 367: 363: 359: 340: 332: 325: 322: 311: 310: 309: 290: 286: 282: 274: 270: 266: 259: 253: 246: 238: 234: 229: 223: 217: 209: 205: 201: 195: 187: 183: 176: 168: 161: 158: 147: 146: 145: 143: 142:Fock operator 139: 135: 132: 128: 124: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: –  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 683:expanding it 672: 631: 624: 406:wavefunction 361: 307: 122: 120: 105: 96: 86: 79: 72: 65: 53: 41:Please help 36:verification 33: 356:is the one- 722:Categories 616:References 69:newspapers 651:272298712 508:electron, 451:φ 326:^ 235:φ 224:∫ 162:^ 99:July 2022 599:See also 358:electron 134:operator 408:of the 129:, is a 83:scholar 649:  639:  308:where 85:  78:  71:  64:  56:  673:This 90:JSTOR 76:books 679:stub 647:OCLC 637:ISBN 568:and 121:The 62:news 45:by 724:: 645:. 275:12 710:e 703:t 696:v 685:. 653:. 594:. 582:) 579:j 576:( 556:) 553:i 550:( 528:j 525:i 521:r 494:h 491:t 487:j 466:) 463:2 460:( 455:j 424:h 421:t 417:i 392:) 389:1 386:( 381:i 377:f 364:, 362:j 344:) 341:1 338:( 333:j 323:J 291:2 287:r 283:d 271:r 267:1 260:2 254:| 250:) 247:2 244:( 239:j 230:| 221:) 218:1 215:( 210:i 206:f 202:= 199:) 196:1 193:( 188:i 184:f 180:) 177:1 174:( 169:j 159:J 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

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verification
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adding citations to reliable sources
"Coulomb operator"
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books
scholar
JSTOR
Learn how and when to remove this message
Charles-Augustin de Coulomb
quantum mechanical
operator
quantum chemistry
Fock operator
electron
wavefunction
Core Hamiltonian
Exchange operator
Computational chemistry and molecular modeling : principles and applications
ISBN
978-3-540-77304-7
OCLC
272298712
Stub icon
quantum chemistry
stub
expanding it
v

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