Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9789056992378 | 9056992376
- Cover: Hardcover
- Copyright: 11/17/2000
This text explains the features of quantum and statistical field systems that result from their field-theoretic nature and are common to different physical contexts. It supplies the practical tools for carrying out calculations and discusses the meaning of the results. The central concept is that of effective action (or free energy), and the main technical tool is the path integral, although other formalisms are also mentioned. The author emphasizes the simplest models first, then progresses to discussions of real systems before addressing more general and rigorous conclusions. The book is structured around carefully selected problems, which are solved in detail.
Valerij G. Kiselev is a scientist at the Section of Medical Physics, Department of Diagnostic Radiology, University of Freiburg (Germany). Yakov Shnir is a leading scientist at the Institute for Theoretical Physics, University of Cologne (Germany) Arthur Ya. Tregubovich is a senior scientist at the Institute of Physics, National Academy of Sciences of Belarus
Preface | xiii | ||||
I THE PATH INTEGRAL IN QUANTUM MECHANICS | 1 | (70) | |||
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3 | (14) | |||
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3 | (3) | |||
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6 | (3) | |||
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9 | (4) | |||
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13 | (4) | |||
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17 | (22) | |||
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17 | (4) | |||
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21 | (4) | |||
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25 | (6) | |||
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26 | (1) | |||
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27 | (4) | |||
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31 | (2) | |||
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33 | (6) | |||
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39 | (32) | |||
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39 | (22) | |||
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42 | (7) | |||
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49 | (4) | |||
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53 | (8) | |||
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61 | (4) | |||
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65 | (2) | |||
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67 | (4) | |||
II INTRODUCTION TO QUANTUM FIELD THEORY | 71 | (154) | |||
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73 | (26) | |||
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73 | (4) | |||
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77 | (2) | |||
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79 | (4) | |||
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79 | (2) | |||
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81 | (2) | |||
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83 | (3) | |||
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86 | (13) | |||
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86 | (2) | |||
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88 | (1) | |||
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89 | (2) | |||
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91 | (8) | |||
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99 | (32) | |||
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100 | (7) | |||
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100 | (3) | |||
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103 | (4) | |||
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107 | (24) | |||
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109 | (2) | |||
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111 | (2) | |||
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113 | (4) | |||
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117 | (7) | |||
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124 | (7) | |||
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131 | (28) | |||
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132 | (3) | |||
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135 | (6) | |||
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136 | (2) | |||
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138 | (3) | |||
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141 | (7) | |||
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141 | (1) | |||
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141 | (5) | |||
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146 | (2) | |||
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148 | (11) | |||
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151 | (8) | |||
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159 | (30) | |||
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159 | (6) | |||
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162 | (3) | |||
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165 | (3) | |||
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168 | (6) | |||
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171 | (2) | |||
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173 | (1) | |||
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174 | (5) | |||
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176 | (3) | |||
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179 | (6) | |||
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179 | (2) | |||
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181 | (1) | |||
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182 | (3) | |||
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185 | (4) | |||
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189 | (18) | |||
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189 | (8) | |||
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189 | (3) | |||
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192 | (3) | |||
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195 | (2) | |||
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197 | (3) | |||
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197 | (2) | |||
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199 | (1) | |||
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200 | (7) | |||
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207 | (18) | |||
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207 | (3) | |||
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210 | (9) | |||
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210 | (4) | |||
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214 | (5) | |||
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219 | (2) | |||
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219 | (1) | |||
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220 | (1) | |||
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221 | (4) | |||
III MORE COMPLEX FIELDS AND OBJECTS | 225 | (180) | |||
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227 | (20) | |||
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227 | (3) | |||
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230 | (10) | |||
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231 | (2) | |||
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233 | (2) | |||
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235 | (1) | |||
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236 | (2) | |||
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238 | (2) | |||
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240 | (7) | |||
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240 | (1) | |||
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241 | (1) | |||
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242 | (1) | |||
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242 | (5) | |||
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247 | (42) | |||
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247 | (2) | |||
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249 | (9) | |||
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258 | (9) | |||
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259 | (4) | |||
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263 | (4) | |||
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267 | (5) | |||
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272 | (9) | |||
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273 | (5) | |||
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278 | (3) | |||
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281 | (8) | |||
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289 | (54) | |||
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289 | (9) | |||
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289 | (1) | |||
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290 | (2) | |||
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292 | (1) | |||
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293 | (5) | |||
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298 | (6) | |||
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298 | (1) | |||
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299 | (1) | |||
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300 | (1) | |||
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301 | (3) | |||
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304 | (6) | |||
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304 | (1) | |||
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305 | (2) | |||
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307 | (1) | |||
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308 | (2) | |||
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310 | (12) | |||
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310 | (2) | |||
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312 | (1) | |||
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312 | (1) | |||
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313 | (1) | |||
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314 | (3) | |||
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317 | (2) | |||
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319 | (3) | |||
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322 | (8) | |||
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330 | (3) | |||
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333 | (10) | |||
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343 | (62) | |||
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344 | (3) | |||
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347 | (3) | |||
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350 | (14) | |||
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351 | (1) | |||
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352 | (4) | |||
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356 | (1) | |||
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357 | (6) | |||
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363 | (1) | |||
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364 | (11) | |||
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366 | (2) | |||
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368 | (2) | |||
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370 | (1) | |||
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371 | (2) | |||
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373 | (2) | |||
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375 | (8) | |||
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375 | (4) | |||
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379 | (4) | |||
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383 | (22) | |||
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385 | (4) | |||
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389 | (2) | |||
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391 | (4) | |||
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395 | (10) | |||
A Some Integrals and Products | 405 | (8) | |||
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405 | (1) | |||
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406 | (2) | |||
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408 | (1) | |||
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409 | (2) | |||
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411 | (2) | |||
B Splitting of Energy Levels in Double-Well Potential | 413 | (4) | |||
C Lie Algebras | 417 | (15) | |||
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417 | (2) | |||
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419 | (1) | |||
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420 | (4) | |||
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420 | (1) | |||
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421 | (1) | |||
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422 | (2) | |||
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424 | (8) | |||
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424 | (1) | |||
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425 | (2) | |||
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427 | (2) | |||
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429 | (3) | |||
Index | 432 |
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