324:
210:
267:
25:
169:. It manifests itself in various elementary physical quantum systems, such as quantum harmonic oscillator, electron orbitals of Hydrogen-like atoms by forcing wavefunctions to be even or odd. This in turn gives rise to
126:, as only rotations by multiples of right angles will preserve the square's original appearance. Discrete symmetries sometimes involve some type of 'swapping', these swaps usually being called
251:
365:
308:
35:
244:
399:
237:
93:
358:
323:
65:
195:
50:
72:
389:
409:
301:
351:
79:
61:
404:
174:
294:
384:
217:
135:
123:
86:
394:
191:
155:
151:
166:
122:
that describes non-continuous changes in a system. For example, a square possesses discrete
335:
278:
221:
209:
170:
147:
378:
159:
331:
190:, Volume 30 of K & E Series on Knots and Everything, World Scientific, 2002.
24:
42:
266:
274:
143:
119:
18:
173:
that determine which transition lines are visible in atomic
165:
One of the most prominent discrete symmetries in physics is
339:
282:
225:
46:
16:
Symmetry describing non-continuous changes in a system
359:
302:
245:
8:
51:introducing citations to additional sources
366:
352:
309:
295:
252:
238:
41:Relevant discussion may be found on the
7:
320:
318:
263:
261:
206:
204:
158:whose elements form a finite or a
14:
188:Symmetry, Ornament and Modularity
322:
265:
208:
34:relies largely or entirely on a
23:
146:under the transformations of a
114:In mathematics and geometry, a
1:
338:. You can help Knowledge by
281:. You can help Knowledge by
224:. You can help Knowledge by
426:
317:
260:
203:
400:Theoretical physics stubs
334:-related article is a
134:. In mathematics and
47:improve this article
390:Theoretical physics
218:theoretical physics
216:This article about
136:theoretical physics
124:rotational symmetry
62:"Discrete symmetry"
410:Group theory stubs
186:Slavik V. Jablan,
175:absorption spectra
347:
346:
290:
289:
233:
232:
156:discrete topology
152:topological group
140:discrete symmetry
116:discrete symmetry
112:
111:
97:
417:
368:
361:
354:
326:
319:
311:
304:
297:
275:geometry-related
269:
262:
254:
247:
240:
212:
205:
107:
104:
98:
96:
55:
27:
19:
425:
424:
420:
419:
418:
416:
415:
414:
375:
374:
373:
372:
316:
315:
259:
258:
201:
183:
171:selection rules
167:parity symmetry
108:
102:
99:
56:
54:
40:
28:
17:
12:
11:
5:
423:
421:
413:
412:
407:
405:Geometry stubs
402:
397:
392:
387:
377:
376:
371:
370:
363:
356:
348:
345:
344:
327:
314:
313:
306:
299:
291:
288:
287:
270:
257:
256:
249:
242:
234:
231:
230:
213:
199:
198:
182:
179:
148:discrete group
110:
109:
45:. Please help
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
422:
411:
408:
406:
403:
401:
398:
396:
393:
391:
388:
386:
383:
382:
380:
369:
364:
362:
357:
355:
350:
349:
343:
341:
337:
333:
328:
325:
321:
312:
307:
305:
300:
298:
293:
292:
286:
284:
280:
277:article is a
276:
271:
268:
264:
255:
250:
248:
243:
241:
236:
235:
229:
227:
223:
219:
214:
211:
207:
202:
197:
193:
189:
185:
184:
180:
178:
176:
172:
168:
163:
161:
160:countable set
157:
153:
149:
145:
141:
137:
133:
129:
125:
121:
117:
106:
95:
92:
88:
85:
81:
78:
74:
71:
67:
64: –
63:
59:
58:Find sources:
52:
48:
44:
38:
37:
36:single source
32:This article
30:
26:
21:
20:
385:Group theory
340:expanding it
332:group theory
329:
283:expanding it
272:
226:expanding it
215:
200:
187:
164:
139:
132:interchanges
131:
127:
115:
113:
100:
90:
83:
76:
69:
57:
33:
128:reflections
379:Categories
196:9812380809
181:References
73:newspapers
43:talk page
395:Symmetry
150:—e.g. a
144:symmetry
120:symmetry
103:May 2024
154:with a
87:scholar
194:
89:
82:
75:
68:
60:
330:This
273:This
220:is a
142:is a
118:is a
94:JSTOR
80:books
336:stub
279:stub
222:stub
192:ISBN
138:, a
66:news
130:or
49:by
381::
177:.
162:.
367:e
360:t
353:v
342:.
310:e
303:t
296:v
285:.
253:e
246:t
239:v
228:.
105:)
101:(
91:·
84:·
77:·
70:·
53:.
39:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
