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1422:
455:
344:
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588:
806:
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165:
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202:
764:
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238:
1489:
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1404:
460:
531:
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17:
1823:
1349:
775:
1379:
1239:
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1607:
1904:
1211:
1193:
934:
450:{\displaystyle \nu ={\frac {c}{\lambda }}=c{\tilde {\nu }}={\frac {\omega }{2\pi }}={\frac {c}{2\pi y}}={\frac {ck}{2\pi }},}
699:
1813:
1636:
1478:
1319:
138:
1497:
1374:
1161:
1127:
1102:
1087:
850:
648:
The de
Broglie relation, also known as de Broglie's momentum–wavelength relation, generalizes the Planck relation to
1060:, translated from the French by S.R. Hemley, N. Ostrowsky, D. Ostrowsky, second edition, volume 1, Wiley, New York,
1612:
1657:
1167:
737:
1467:
1339:
1065:
85:
1232:
1445:
1334:
1329:
211:
1914:
1602:
1561:
1505:
1354:
1279:
115:
1529:
1344:
1437:
1384:
1364:
1174:, edited with a historical introduction by B.L. van der Waerden, North-Holland Publishing, Amsterdam.
657:
294:
170:
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1833:
1828:
1808:
1798:
1758:
1453:
1309:
1225:
1838:
600:
1770:
1678:
1650:
1553:
1412:
1153:
1053:
832:
Bohr's frequency condition states that the frequency of a photon absorbed or emitted during an
643:
1843:
1803:
1643:
1592:
1587:
1513:
1324:
1304:
1294:
833:
1722:
1671:
1664:
1617:
1289:
1262:
251:
247:
8:
1909:
821:
670:
would also apply to them, and postulated that particles would have a wavelength equal to
1685:
1569:
1545:
1389:
1272:
1267:
893:
335:
328:
1137:
1776:
1207:
1189:
1157:
1123:
1098:
1083:
1061:
321:
129:
57:
1734:
1716:
1394:
1145:
769:
653:
255:
1764:
1696:
1461:
1369:
1314:
1284:
1248:
1199:
1177:
1075:
593:
259:
125:
53:
1704:
1142:, volume 1, translated from the French by G.M. Temmer, North-Holland, Amsterdam.
1108:
1521:
1299:
1133:
1071:
631:
696:. Combining de Broglie's postulate with the Planck–Einstein relation leads to
1898:
1740:
1710:
1597:
72:
1848:
1728:
844:
1853:
1537:
1359:
649:
128:. Several equivalent forms of the relation exist, including in terms of
1858:
289:
282:
275:
76:
271:
1217:
521:{\displaystyle E=h\nu ={\frac {hc}{\lambda }}=hc{\tilde {\nu }},}
243:
457:
so the Planck relation can take the following "standard" forms:
68:
61:
884:
This is a direct consequence of the Planck–Einstein relation.
583:{\displaystyle E=\hbar \omega ={\frac {\hbar c}{y}}=\hbar ck.}
246:
and plays a key role in understanding phenomena such as the
920:
Cohen-Tannoudji, Diu & Laloë (1973/1977), pp. 10–11.
1490:
Die
Grundlagen der Einsteinschen Relativitäts-Theorie
853:
778:
768:
The de
Broglie relation is also often encountered in
740:
702:
534:
463:
347:
297:
214:
173:
141:
88:
1023:
Cohen-Tannoudji, Diu & Laloë (1973/1977), p. 27.
1150:
Quantum
Mechanics: Symbolism of Atomic Measurements
874:
800:
758:
726:
582:
520:
449:
312:
232:
196:
159:
106:
1423:Investigations on the Theory of Brownian Movement
1896:
801:{\displaystyle \mathbf {p} =\hbar \mathbf {k} ,}
947:
945:
1430:Relativity: The Special and the General Theory
29:Energy–frequency relation in quantum mechanics
1233:
933:harvnb error: no target: CITEREFKalckar1985 (
827:
1206:, Cambridge University Press, Cambridge UK,
1188:, Cambridge University Press, Cambridge UK,
942:
1240:
1226:
999:
528:as well as the following "angular" forms:
270:Light can be characterized using several
1864:Emergency Committee of Atomic Scientists
1120:Thermodynamics and Statistical Mechanics
1097:, Prentice Hall, Upper Saddle River NJ,
1032:Flowers et al. (n.d), 6.2 The Bohr Model
341:). These quantities are related through
52:, though the latter might also refer to
929:
911:French & Taylor (1978), pp. 24, 55.
644:Matter wave § de Broglie relations
14:
1897:
1608:Albert Einstein World Award of Science
1122:, Oxford University Press, Oxford UK,
1115:, Sir Isaac Pitman & Sons, London.
987:Griffiths, D. J. (1995), pp. 217, 312.
978:Griffiths, D. J. (1995), pp. 143, 216.
637:
1221:
1047:
836:is related to the energy difference (
914:
905:
599:. The angular forms make use of the
1247:
592:The standard forms make use of the
24:
1637:Albert Einstein: Creator and Rebel
1350:Einstein–Infeld–Hoffmann equations
1320:Einstein relation (kinetic theory)
1080:An Introduction to Quantum Physics
1056:, Diu, B., Laloë, F. (1973/1977).
854:
727:{\displaystyle p=h{\tilde {\nu }}}
38:Planck's energy–frequency relation
25:
1926:
1498:The Einstein Theory of Relativity
1095:Introduction to Quantum Mechanics
1082:, Van Nostrand Reinhold, London,
787:
747:
568:
541:
320:, and their angular equivalents (
265:
148:
1877:
1876:
1613:Einstein Prize for Laser Science
996:Weinberg (2013), pp. 24, 28, 31.
791:
780:
160:{\displaystyle E=\hbar \omega ,}
1658:Einstein: His Life and Universe
1035:
1026:
1017:
1008:
875:{\displaystyle \Delta E=h\nu .}
313:{\displaystyle {\tilde {\nu }}}
208:for frequency, the relation is
56:) is a fundamental equation in
1280:Mass–energy equivalence (E=mc)
990:
981:
972:
963:
954:
923:
718:
509:
376:
304:
242:The relation accounts for the
197:{\displaystyle \hbar =h/2\pi }
13:
1:
1204:Lectures on Quantum Mechanics
1041:van der Waerden (1967), p. 5.
899:
1905:Foundational quantum physics
1182:The Quantum Theory of Fields
1172:Sources of Quantum Mechanics
847:involved in the transition:
814:is the momentum vector, and
204:. Written using the symbol
7:
1603:Albert Einstein Peace Prize
1380:Unsuccessful investigations
1014:Messiah (1958/1961), p. 14.
887:
658:particles had a wave nature
116:constant of proportionality
10:
1931:
1530:Picasso at the Lapin Agile
1468:Russell–Einstein Manifesto
1340:Bose–Einstein correlations
828:Bohr's frequency condition
759:{\displaystyle p=\hbar k.}
641:
1872:
1786:
1695:
1626:
1580:
1477:
1438:The Meaning of Relativity
1403:
1255:
960:Landsberg (1978), p. 199.
951:Schwinger (2001), p. 203.
244:quantized nature of light
75:, is proportional to its
1829:Albert Einstein Archives
1759:Bernhard Caesar Einstein
1506:Relics: Einstein's Brain
1454:The Evolution of Physics
1335:Bose–Einstein statistics
1330:Bose–Einstein condensate
1310:Einstein field equations
1118:Landsberg, P.T. (1978).
1093:Griffiths, D.J. (1995).
107:{\displaystyle E=h\nu .}
42:Planck–Einstein relation
18:Planck–Einstein relation
1839:Einstein Papers Project
1355:Einstein–de Haas effect
601:reduced Planck constant
1771:Thomas Martin Einstein
1679:Introducing Relativity
1651:Einstein for Beginners
1554:Einstein and Eddington
1345:Einstein–Cartan theory
1005:Weinberg (1995), p. 3.
876:
802:
760:
728:
584:
522:
451:
314:
258:can be used to derive
234:
198:
161:
108:
60:which states that the
1844:Einstein refrigerator
1834:Einstein's Blackboard
1713:(second wife; cousin)
1644:Einstein and Religion
1593:Albert Einstein Medal
1588:Albert Einstein Award
1446:The World as I See It
1385:Wave–particle duality
1365:Bohr–Einstein debates
1325:Cosmological constant
1305:Equivalence principle
1295:Einstein coefficients
1168:van der Waerden, B.L.
877:
834:electronic transition
803:
761:
729:
585:
523:
452:
315:
235:
233:{\displaystyle E=hf.}
199:
162:
109:
1723:Hans Albert Einstein
1672:I Am Albert Einstein
1618:Einstein Prize (APS)
1290:Photoelectric effect
1263:Theory of relativity
1156:, Springer, Berlin,
969:Landé (1951), p. 12.
851:
776:
738:
700:
532:
461:
345:
295:
274:quantities, such as
252:black-body radiation
248:photoelectric effect
212:
171:
139:
86:
1375:Thought experiments
1054:Cohen-Tannoudji, C.
822:angular wave vector
638:de Broglie relation
254:(where the related
1915:Old quantum theory
1824:Things named after
1686:Subtle is the Lord
1509:(1994 documentary)
1501:(1923 documentary)
1493:(1922 documentary)
1390:Gravitational wave
1273:General relativity
1268:Special relativity
1048:Cited bibliography
894:Compton wavelength
872:
843:) between the two
798:
756:
724:
580:
518:
447:
336:angular wavenumber
329:angular wavelength
310:
230:
194:
157:
124:, is known as the
104:
1892:
1891:
1794:Awards and honors
1777:Siegbert Einstein
1665:Einstein's Cosmos
1212:978-1-107-02872-2
1194:978-0-521-55001-7
1139:Quantum Mechanics
1113:Quantum Mechanics
1058:Quantum Mechanics
721:
563:
512:
492:
442:
419:
398:
379:
362:
322:angular frequency
307:
130:angular frequency
58:quantum mechanics
16:(Redirected from
1922:
1880:
1879:
1779:(distant cousin)
1773:(great-grandson)
1735:Hermann Einstein
1717:Lieserl Einstein
1395:Tea leaf paradox
1242:
1235:
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654:Louis de Broglie
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256:Planck postulate
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36:(referred to as
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1919:
1895:
1894:
1893:
1888:
1868:
1819:Religious views
1814:Political views
1782:
1767:(granddaughter)
1765:Evelyn Einstein
1753:Robert Einstein
1747:Eduard Einstein
1691:
1628:
1622:
1576:
1546:Einstein's Gift
1480:
1473:
1414:Annus mirabilis
1399:
1370:Teleparallelism
1315:Einstein radius
1285:Brownian motion
1251:
1249:Albert Einstein
1246:
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661:
660:, the relation
656:argued that if
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594:Planck constant
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126:Planck constant
119:
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46:Planck equation
34:Planck relation
30:
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15:
12:
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5:
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1558:
1557:(2008 TV film)
1550:
1542:
1534:
1526:
1522:Young Einstein
1518:
1514:Insignificance
1510:
1502:
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1483:
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1465:
1462:Why Socialism?
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1300:Einstein solid
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639:
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632:speed of light
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50:Planck formula
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1741:Maja Einstein
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1598:Kalinga Prize
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1162:3-540-41408-8
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1154:B.-G. Englert
1151:
1147:
1146:Schwinger, J.
1144:
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1136:(1958/1961).
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1128:0-19-851142-6
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1729:Pauline Koch
1707:(first wife)
1705:Mileva Marić
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1200:Weinberg, S.
1185:
1184:, volume 1,
1181:
1178:Weinberg, S.
1171:
1152:, edited by
1149:
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1076:Taylor, E.F.
1072:French, A.P.
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930:Kalckar 1985
925:
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650:matter waves
647:
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604:
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269:
260:Planck's law
241:
120:
54:Planck's law
49:
45:
41:
37:
33:
31:
26:
1854:Einsteinium
1627:Books about
1573:(2023 film)
1570:Oppenheimer
1549:(2003 play)
1541:(1994 film)
1533:(1993 play)
1525:(1988 film)
1517:(1985 film)
1360:EPR paradox
1186:Foundations
1134:Messiah, A.
71:, known as
1910:Max Planck
1899:Categories
1859:Max Talmey
1761:(grandson)
1719:(daughter)
1479:In popular
1066:0471164321
900:References
642:See also:
290:wavenumber
283:wavelength
1109:Landé, A.
867:ν
855:Δ
788:ℏ
748:ℏ
719:~
716:ν
569:ℏ
554:ℏ
545:ω
542:ℏ
510:~
507:ν
490:λ
474:ν
439:π
413:π
395:π
388:ω
377:~
374:ν
360:λ
349:ν
305:~
302:ν
276:frequency
192:π
175:ℏ
152:ω
149:ℏ
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77:frequency
1883:Category
1809:Memorial
1755:(cousin)
1743:(sister)
1737:(father)
1731:(mother)
1629:Einstein
1464:" (1949)
1425:" (1905)
1202:(2013).
1180:(1995).
1170:(1967).
1148:(2001).
1111:(1951).
1078:(1978).
939:, p. 39.
888:See also
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1787:Related
1481:culture
1256:Physics
820:is the
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630:is the
626:. Here
623:
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1697:Family
1581:Prizes
1562:Genius
1470:(1955)
1457:(1938)
1449:(1934)
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1416:papers
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770:vector
334:, and
167:where
69:photon
62:energy
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1725:(son)
1405:Works
772:form
67:of a
1538:I.Q.
1208:ISBN
1190:ISBN
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1124:ISBN
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1084:ISBN
1062:ISBN
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250:and
114:The
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262:).
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