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Semiclassical physics

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25: 463: 121:, resulting in the classical physics of power 0, and the first nontrivial approximation to the power of (−1). In this case, there is a clear link between the quantum-mechanical system and the associated semi-classical and classical approximations, as it is similar in appearance to the transition from 54: 264: 504: 383: 361: 293: 144:. In 1906, he was also the first to write that quantum theory should recover the classical mechanics at some limit, particularly when the 447: 424: 405: 76: 543: 548: 538: 217: 528: 37: 216:
magnetic properties of materials and astrophysical bodies under the effect of large magnetic fields (see for example
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will be constant, or when changing will be classically described. In general, it incorporates a development in
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was the first to introduce the idea of quanta of energy in 1900 while studying
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Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles
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Use of both classical and quantum physics to analyze a system
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Some examples of a semiclassical approximation include:
478: 230:with at most a single closed loop (see for example 435: 349: 46:but its sources remain unclear because it lacks 336:Vorlesungen Ăźber die Theorie der Warmestrahlung 415:R.P. Feynman; R.B. Leighton; M. Sands (1965). 151:tends to zero. With this idea he showed that 498: 338:. Leipzig: Verlag von Johann Ambrosius Barth. 8: 159:, the classical prediction (valid for large 505: 491: 97:refers to a theory in which one part of a 77:Learn how and when to remove this message 294:"The correspondence principle revisited" 398:General Principles of Quantum Mechanics 356:(2nd ed.). John Wiley & Sons. 281: 7: 459: 457: 438:McGraw-Hill Encyclopaedia of Physics 329: 327: 287: 285: 155:for thermal radiation leads to the 477:. You can help Knowledge (XXG) by 178:: electrons in classical external 14: 378:(4th ed.). Clarendon Press. 292:Liboff, Richard L. (1984-02-01). 461: 265:Einstein–Brillouin–Keller method 23: 419:. Vol. 3. Addison-Wesley. 376:Principles of Quantum Mechanics 348:R. Resnick; R. Eisberg (1985). 105:, whereas the other is treated 1: 442:(2nd ed.). McGraw-Hill. 209:; quantization of classical 417:Feynman Lectures on Physics 565: 456: 218:De Haas–Van Alphen effect 250:Correspondence principle 232:one-loop Feynman diagram 109:. For example, external 32:This article includes a 544:Computational chemistry 61:more precise citations. 473:-related article is a 180:electromagnetic fields 549:Quantum physics stubs 539:Theoretical chemistry 260:Eikonal approximation 186:semiclassical gravity 529:Quantum field theory 434:C.B. Parker (1994). 334:Planck, Max (1906). 224:quantum field theory 190:quantum field theory 142:black-body radiation 103:quantum mechanically 192:within a classical 270:Old quantum theory 201:general relativity 157:Rayleigh–Jeans law 34:list of references 534:Quantum chemistry 524:Quantum mechanics 486: 485: 471:quantum mechanics 385:978-0-19-852011-5 363:978-0-471-87373-0 310:10.1063/1.2916084 176:WKB approximation 87: 86: 79: 556: 507: 500: 493: 465: 458: 453: 441: 430: 411: 389: 367: 355: 340: 339: 331: 322: 321: 289: 228:Feynman diagrams 199:background (see 127:geometric optics 82: 75: 71: 68: 62: 57:this article by 48:inline citations 27: 26: 19: 564: 563: 559: 558: 557: 555: 554: 553: 514: 513: 512: 511: 450: 433: 427: 414: 408: 392: 386: 370: 364: 347: 344: 343: 333: 332: 325: 291: 290: 283: 278: 255:Classical limit 241: 169: 146:Planck constant 135: 123:physical optics 119:Planck constant 83: 72: 66: 63: 52: 38:related reading 28: 24: 17: 12: 11: 5: 562: 560: 552: 551: 546: 541: 536: 531: 526: 516: 515: 510: 509: 502: 495: 487: 484: 483: 466: 455: 454: 448: 431: 425: 412: 406: 390: 384: 368: 362: 342: 341: 323: 280: 279: 277: 274: 273: 272: 267: 262: 257: 252: 247: 240: 237: 236: 235: 221: 214: 204: 183: 168: 165: 134: 131: 85: 84: 42:external links 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 561: 550: 547: 545: 542: 540: 537: 535: 532: 530: 527: 525: 522: 521: 519: 508: 503: 501: 496: 494: 489: 488: 482: 480: 476: 472: 467: 464: 460: 451: 449:0-07-051400-3 445: 440: 439: 432: 428: 426:0-201-02118-8 422: 418: 413: 409: 407:3-540-09842-9 403: 399: 395: 391: 387: 381: 377: 373: 369: 365: 359: 354: 353: 346: 345: 337: 330: 328: 324: 319: 315: 311: 307: 303: 299: 298:Physics Today 295: 288: 286: 282: 275: 271: 268: 266: 263: 261: 258: 256: 253: 251: 248: 246: 243: 242: 238: 233: 229: 225: 222: 219: 215: 212: 208: 207:quantum chaos 205: 202: 198: 197:gravitational 195: 191: 187: 184: 181: 177: 174: 173: 172: 166: 164: 162: 158: 154: 150: 147: 143: 139: 132: 130: 128: 124: 120: 116: 112: 108: 104: 101:is described 100: 96: 95:semiclassical 92: 81: 78: 70: 67:November 2018 60: 56: 50: 49: 43: 39: 35: 30: 21: 20: 479:expanding it 468: 437: 416: 400:. Springer. 397: 375: 372:P.A.M. Dirac 351: 335: 304:(2): 50–55. 301: 297: 170: 153:Planck's law 148: 136: 94: 88: 73: 64: 53:Please help 45: 107:classically 59:introducing 518:Categories 276:References 245:Bohr model 161:wavelength 138:Max Planck 318:0031-9228 167:Instances 396:(1980). 394:W. Pauli 374:(1981). 239:See also 213:systems. 226:, only 211:chaotic 133:History 117:of the 91:physics 55:improve 446:  423:  404:  382:  360:  316:  194:curved 115:powers 111:fields 99:system 469:This 40:, or 475:stub 444:ISBN 421:ISBN 402:ISBN 380:ISBN 358:ISBN 314:ISSN 306:doi 163:). 125:to 89:In 520:: 326:^ 312:. 302:37 300:. 296:. 284:^ 203:). 188:: 129:. 93:, 44:, 36:, 506:e 499:t 492:v 481:. 452:. 429:. 410:. 388:. 366:. 320:. 308:: 220:) 182:. 149:h 80:) 74:( 69:) 65:( 51:.

Index

list of references
related reading
external links
inline citations
improve
introducing
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physics
system
quantum mechanically
classically
fields
powers
Planck constant
physical optics
geometric optics
Max Planck
black-body radiation
Planck constant
Planck's law
Rayleigh–Jeans law
wavelength
WKB approximation
electromagnetic fields
semiclassical gravity
quantum field theory
curved
gravitational
general relativity
quantum chaos

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