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Amrein W.O., Sinha K.B., Jauch J.M. Ч Scattering Theory in Quantum Mechanics: Physical Principles and Mathematical Methods
Amrein W.O., Sinha K.B., Jauch J.M. Ч Scattering Theory in Quantum Mechanics: Physical Principles and Mathematical Methods



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Ќазвание: Scattering Theory in Quantum Mechanics: Physical Principles and Mathematical Methods

јвторы: Amrein W.O., Sinha K.B., Jauch J.M.

јннотаци€:

Everyone concerned with the teaching of physics at the advanced undergraduate or graduate level is aware of the continuing need for a modernization and reorganization of the basic course material. Despite the existence today of many good textbooks in these areas, there is always an appreciable tijne-lag in the incorporation of new viewpoints and techniques which result from the most recent developments in physics research. Typically these changes in concepts and material take place first in the personal lecture notes of some of those who teach graduate courses. Eventually, printed notes may appear, and some fraction of such notes evolve into textbooks or monographs. But much of this fresh material remains available only to a very limited audience, to the detriment of all. Our series aims to fill this gap in the literature of physics by presenting occasional volumes with a contemporary approach to the classical topics of physics at the advanced undergraduate and graduate level. Clarity and soundness of treatment will, we hope, mark these volumes, as well as the freshness of the approach.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1977

 оличество страниц: 692

ƒобавлена в каталог: 12.01.2010

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Relatively compact      318
Rellich theorem      319
Rellich Ч Kato condition      315
Resolution of the identity      179
Resolvent      127 200Ч203
Resolvent equation, first      202
Resolvent equation, second      249
Resolvent of free Hamiltonian      266Ч268 370
Resolvent set      201
Resolvent, holomorphy of      202
Resonance scattering      12 493Ч494
Restriction      38
Riccati Ч Bessel, ЧHankel and ЧNeumann functions      496Ч498 482
Riesz representation theorem      29 97
Riesz Ч Fischer theorem      31
Rollnik potential      345Ч346 385
Rotation group      453Ч459 470 481 501
S-matrix      see also "R-matrix" 226 229 253Ч255 277 489 518
S-operator      138 145Ч152 156 226 247 250Ч254 463Ч467 562 581Ч584 586Ч587 596Ч598 625
Scalar product      20 30 95
Scattering amplitude      286Ч293 339 421Ч426 448 465Ч468 514Ч516 518Ч519 525Ч526 627Ч628
Scattering angle      4 468
Scattering at large distances      331Ч333 349
Scattering channel      see "Channel"
Scattering cross section      see "Cross section"
Scattering into cones      279Ч282 308 544Ч545 618Ч623 640Ч642
Scattering length      519
Scattering operator      see "S-operator"
Scattering states      136 166Ч168 262Ч269 303Ч305 569Ч570 607Ч609 636
Schatten Ч von Neumann ideal      449
Schroedinger Equation, radial      341Ч342 483
Schroedinger equation, time-dependent      110Ч111 237
Schroedinger equation, time-independent      237 396Ч398 437
Schroedinger operator      322 475Ч480
Schroedinger picture      113
Schwarz inequality      21
Screened potential      333 349
Self-adjoint operator      53 56Ч58 69Ч71 236 319 469
Separable Hilbert space      20Ч21 31Ч32
Separable interaction      333Ч339 353 392 451 513
Separating vector      548Ч549
Short range potentials      148 328
Simple scattering system      141
Simple spectrum      228 376Ч378 461 480 543
Singular part (of an operator)      209
Singular spectrum      209
Singular values      72Ч73 77
Singularly continuous operator      209 211
Singularly continuous part      209
Singularly continuous spectrum      209
Smoothness      380Ч382 392Ч393
span      70
Spatial isomorphism      559
Spectral family      104Ч107 179Ч183 221
Spectral integral      239Ч244 256Ч257
Spectral measure      180Ч182 207 360 389
Spectral multiplicity      227
Spectral representation      215Ч229 436
Spectral theorem      71 194Ч197 231Ч235
Spectral transformation      225Ч228 404Ч409 434Ч436 461Ч463
Spectrum      201
Spherical harmonics      495 498Ч501
Spherical symmetry      452Ч468 475Ч494 543
Spherically symmetric function      455
Spin      9 108Ч109 115 129 154 470
Spin-flip, spin-non-flip amplitude      474
Spin-orbit interaction      469Ч475
Square root      189 230 234
Square well      323 328
Stark potential      325
State      102Ч103
Stationary state      111Ч112
Stationary state, scattering theory      244Ч255 382Ч385 544 595Ч598
Stone's theorem      100Ч102 125Ч127 130
Strong continuity      79 100 160
Strong convergence      23Ч24 59Ч63 95Ч96
Strong derivative      101 161
subspace      27 47Ч48
Subspace of absolute continuity      208 210 213
Subspace of continuity, of discontinuity      205Ч207 265Ч269 303Ч305
Subspace of singularity      208
Sum of operators      43Ч44
Support of a spectral family      180
Symmetric operator      52Ч57 173
Symmetry (group)      100 109 148Ч152 586Ч587
TARGET      5 289
Tensor product      83Ч86 98 501 599 629
Three-body problem      644Ч676
Threshold      594 626
Time delay      270Ч277 306Ч308
Time-evolution      109Ч113
Time-reversal      151 166 292Ч293 353 501 554 587
Total cross section      see "Cross section"
Total evolution      133 576
Total Hamiltonian      134 322 341Ч346 463 471Ч473 476Ч480 603Ч605 607Ч613
Total Hamiltonian, absence of singularly continuous spectrum      426Ч432 451 634
Total Hamiltonian, absolutely continuous part      215 365 368 375 404Ч415 612Ч613 635
Total Hamiltonian, boundedness below      324 603 607
Total Hamiltonian, discrete spectrum      427 434 634 668
Total Hamiltonian, embedded eigenvalues      427Ч428 449Ч450 487 502 508 634 642
Total Hamiltonian, essential spectrum      323 611Ч613 629Ч634
Total Hamiltonian, Green's function      439Ч440
Total Hamiltonian, resolvent of      359Ч364 439 647Ч658
Total mass      299 605
Total momentum      299 310 588 605
Trace      77Ч78 98
Trace, class      78Ч79 294
Trace, criterion      386Ч387
Trace, norm      77 98
Triangle inequality      22
Two-Hilbert space formulation      584Ч586 594
Unbounded operator      40
Uniform boundedness principle      61
Uniform convergence      60 62Ч63
Unilateral shift operator      51 79
Unit ray      103
Unit vector      48
Unitarity of S      147 151 166 292 583Ч586 599
Unitary group      100Ч102 200
Unitary group, continuity of      100 129
Unitary operator      52 232
Unperturbed evolution      133 570Ч574
Unperturbed Hamiltonian      134
Upper bound of spectral family      180
Vector      19
Vector, representation      454Ч455
Vector-valued function      159 216
Virtual eigenvector      see "Quasi-bound state"
Volterra integral equation      486 502
von Neumann algebra      550 556 560
Wave homomorphism      545Ч552 559Ч561
Wave operators      138Ч151 164 215 245Ч247 553 580Ч582 585Ч586 592 595Ч598 614Ч618
Wave operators, existence of      326Ч328 335 346Ч349 353 379 473 502 562 614Ч616 643
Wave operators, generalized      154Ч157 169 529 537Ч540 544 550Ч553 559Ч561
Wave vector      396
Weak continuity      79
Weak convergence      23Ч24 60Ч61 63
Weak coupling      362 368 375 508Ч509 635
Weak solutions      437
Weinberg Ч van Winter equations      669
Weyl Ч von Neumann theorem      324
Yukawa potential      323 328 524Ч526
Zero vector      19Ч20
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