84:
176:
too precise for its own good. Whether derived using SUSY trickery or not, the smallest term—of highest order in α—may be smaller than the Lamb shift, which is due to EM field quantization and isn't included in the Dirac formulation. I don't have all the equations in front of me, so don't take my word for it. Anyway, this "problem" isn't with the machinery used to get the answer, but with the answer itself, so it's really tangential to the point under discussion.)
74:
53:
22:
175:
describe how to apply SUSY to an electron in a
Coulomb potential, accounting for all relativistic effects. This gives an expression for the energy levels accurate to terms in α, I believe, including lots of fine and hyperfine structure. (I have to check to be sure, but I believe this expression is
179:
The SUSY inherent in the Dirac
Equation is most apparent in the case of a massless electron, which I admit is slightly unphysical. Still, the properties are there, and they do provide a practical aid to calculation.
170:
problems involving relativistic charged particles in various potentials can be connected, through SUSY, to non-relativistic cases that are more easily soluble. Both
Thaller and the 1995 review article cited on
211:
140:
162:
I removed a comment about SUSY QM only applying to non-relativistic quantum mechanics, as this is not entirely accurate. As described in
Thaller's textbook
206:
130:
83:
201:
106:
97:
58:
33:
21:
39:
105:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
165:
89:
195:
172:
186:
73:
52:
79:
102:
15:
101:, a collaborative effort to improve the coverage of
183:Hey! The first snow of winter is falling outside.
212:Start-Class physics articles of Low-importance
8:
19:
47:
49:
7:
95:This article is within the scope of
38:It is of interest to the following
14:
82:
72:
51:
20:
207:Low-importance physics articles
135:This article has been rated as
1:
115:Knowledge:WikiProject Physics
109:and see a list of open tasks.
202:Start-Class physics articles
118:Template:WikiProject Physics
228:
141:project's importance scale
189:17:02, 12 Nov 2004 (UTC)
134:
67:
46:
28:This article is rated
98:WikiProject Physics
34:content assessment
155:
154:
151:
150:
147:
146:
219:
123:
122:
121:physics articles
119:
116:
113:
92:
87:
86:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
227:
226:
222:
221:
220:
218:
217:
216:
192:
191:
160:
120:
117:
114:
111:
110:
88:
81:
61:
32:on Knowledge's
29:
12:
11:
5:
225:
223:
215:
214:
209:
204:
194:
193:
166:Dirac Equation
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:
13:
10:
9:
6:
4:
3:
2:
224:
213:
210:
208:
205:
203:
200:
199:
197:
190:
188:
184:
181:
177:
174:
173:supersymmetry
169:
167:
157:
142:
138:
132:
129:
128:
125:
108:
104:
100:
99:
91:
85:
80:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
185:
182:
178:
163:
161:
136:
96:
40:WikiProjects
30:Start-class
196:Categories
158:Relativity
187:Anville
139:on the
112:Physics
103:Physics
59:Physics
36:scale.
164:The
131:Low
198::
168:,
143:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.