Ram-Mohan R. — Finite Element and Boundary Element Applications in Quantum Mechanics :: Электронная библиотека попечительского совета мехмата МГУ

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Ram-Mohan R. — Finite Element and Boundary Element Applications in Quantum Mechanics

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Название: Finite Element and Boundary Element Applications in Quantum Mechanics

Автор: Ram-Mohan R.

Аннотация:

Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using application to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.

Язык:

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 609

Добавлена в каталог: 06.12.2013

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Предметный указатель

$k\cdot P$ model      129 197
Abdolsalami, F.      11-37
Abdolsalami, M.      11-37
Aboucharcra, R.      9-9
Abraham, E.      18-46
Abramowitz, M.      A-3
Accidental degeneracy, quantum wire      276
Accidental degeneracy, removal      283
Ackermann, J.      4-20 11-25 11-26 11-34
Action integral      3 11
Action integral, adaptive calculations      92
Action integral, convergence criteria      102
Action integral, discretization      17
Action integral, elemental actions      92
Action integral, error estimate      87
Action integral, from equation of motion      16
Action integral, H atom in magnetic field      259
Action integral, local calculations      95
Action integral, mixed boundary value problem      112
Action integral, using adjoint functions      348
Action principle      11
Action, 2D problems      233
Action, discretized      86
Action, Schroedinger action      17
Action, second derivative of $\phi$       86
Action, time-dependent      347
Action, tunneling      112
Acton, F.S.      2-17
Adaptivity, energy norm      105
Adaptivity, matrix elements $<r^{\pm n}>$       104
Adhikari, S.K.      13-13 18-47
Adjoint variational method      354
Admissible functions      86
Aggarwal, R.L.      5-28 8-27 8-30 12-8 14-17
Ahmed, H.      13-3 18-4
Aidaraliev, M.      8-39
Aifer, E.H.      8-48 8-56 8-58
Aldrich, C.      2-14 11-4
Aliabadi, M.H.      18-37
Alonso, R.G.      5-26 5-27
Altarelli, M.      7-2 7-3 7-11
Anderson, E.      2-3 5-9 15-1
Ando, T.      6-10 6-13
Andres, M.V.      12-14
Arakawa, E.T.      17-14
Aravind, P.K.      17-24
Area coordinates      223
Argyris, J.H.      1-27 13-49
Arme, H.      18-34
Ashbough, M.S.      13-26
Askar, A.      2-9 11-32
Asymmetric quantum well without bound states      126
Auyang, S.Y.      12-20
Axelsson, O.      15-18
B-spline interpolation      231
Babb, J.F.      11-35
Babuska, I.      4-7 4-10 4-15 4-17 18-37
Bacskay, G.      5-11
Baer, M.      14-5
Bagwell, P.F.      13-12
Bai, Z.      2-3 5-9 15
Baillargeon, J.N.      8-53
Baker, J.      11-22
Baldareschi, A.      11-3
Balian, R.      14-40
Ball, A.A.      9-4
Bandgap engineering      126 195
Bando, K.      3-8
Bandrauk, a.d.      11-39
Bandwidth matrix      361
Bandwidth reduction      363
Bandwidth reduction, Cuthill — McGee algorithm      364
Bandwidth reduction, GPS algorithm      364
Bandyopadhyay, S.      8-9
Banerjee, P.K.      16-4 18-19 18-20 18-40 18-43 C-9
Baranger, H.U.      13-10 13-14
Barrier localized state      137
Bartoli, F.J.      8-21 8-35 8-37 8-40 8-42 8-46 12-21
Barton, G.      C-11
Bassani, F.      11-3
Bastard, G.      5-17 6-1 8-24—8-26 12-8 12-9
Bate, R.T.      17-15
Bateman, H.      C-6
Bathe, K.J.      2-4 11-14 15-21 15-27
Bayfield, J.E.      14-8
Bayliss, A.      13-33
Beenakker, C.W.J.      13-4 13-6 18-3
Beer, A.C.      12-1
Beer, G.      3-6 16-13
Belegundu, A.D.      10-1
Belle, G.      7-8
Belytschko, T.      14-19
BEM      3
BEM, 2D scattering      485
BEM, convergence properties      498
BEM, dimensionality reduction      397
BEM, dirichlet problem      400
BEM, eigenvalue problems      489
BEM, electron waveguides      470
BEM, electrostatics sum rules      423
BEM, element integrals      412
BEM, Hermite interpolation      437
BEM, hypersingular boundary integrals      497
BEM, implementing boundary conditions      414
BEM, interior solution      420
BEM, isospectral resonant cavities      494
BEM, linear interpolation      435
BEM, matrix benediction      419
BEM, mesoscopic devices      470
BEM, mode analysis      477
BEM, multiregion      437
BEM, multiregion waveguide      481
BEM, Neumann problem      404
BEM, quantum applications      469
BEM, self-consistency condition      397
BEM, surface plasmon modes in a single wire      450
BEM, treating corner nodes      415
BEM, waveguide      477
Ben Daniel, D.J.      5-23
Bender, C.M.      14-51—14-54 14-56
Benediction      307
Benediction, application to matrix      120
Benediction, row and column      120
Berard, P.      18-24
Berenger, J.P.      13-37 13-38
Berggren, K.F.      13-30
Bergman, J.G.      17-33
Bernstein polynomials      230
Bessis, D.      11-8
Bethe, H.A.      2-20 11-21
Bethea, C.G.      5-29
Bettess, P.      3-3 3-8 13-48 14-20 18-39
Bewley, W.W.      8-43 8-48 8-56—8-58
Bezier curves      230
Bezier curves, control points      231
Bezier, P.      9-14
Bhat, R.      12-4
Bhobe, S.      8-9
Bimberg, D.      12-7
Binns, K.J.      16-6
Birendra Prasad      10-14 12-22
Birkhoff, R.D.      17-14
Bischof, C.      2-3 5-9 15-1
Bisseling, R.H.      14-4
Bjorken, J.D.      1-21 14-33
Blaizot, J.P.      14-43
Blinder, S.M.      18-48
Bloch functions      198
Bloch periodicity      139
Bloch periodicity, checkerboard superlattice      287

Bloch’s theorem      372
Bloss, W.L.      12-16
Boardman, A.D.      17-6
Boccara, N.      8-7
Boernstein      5-21 12-10
Bohm, D.      1-1 5-1
Bohr — Sommerfeld quantization condition      189
Bois, P.      5-32
Born, M.      1-6
Borondo, F.      6-19
Botero, J.      11-29 11-36
Boucaud, P.      5-32
Bound state absent in asymmetric quantum well      134
Bound states at waveguide crossing      311
Bound states, double bends in quantum wire      313
Boundary condition for stealth elements      316
Boundary condition, 2D quantum scattering      315
Boundary condition, Dirichlet      165
Boundary condition, element boundaries      77
Boundary condition, essential      165
Boundary condition, implementing modal      308
Boundary condition, initial value      338
Boundary condition, interface      181
Boundary condition, mixed      128
Boundary condition, mixed, 2D waveguide      305
Boundary condition, natural      165 235
Boundary condition, Neumann      164
Boundary condition, one-sided      328
Boundary condition, periodic      139 152
Boundary condition, probability current      77
Boundary condition, two-point      338
Boundary condition, waveguides modal decomposition      305
Boundary element method      397 see
Boundary integral end point singularity      409
Bowyer, A.      10-8
Bradley, C.      16-9
Braess, D.      14-47
Brandi, H.S.      11-16
Braun, M.      11-27
Brebbia, C.A.      16-5 17-23 18-34—18-36 18-37 18-42 18-44 C-10
Breit, G.      11-20
Bremermann, H.      B-1
Brent, R.P.      6-9
Brent’s algorithm      154
Brey, L.      6-17
Briggs, W.L.      15-15
Brillouin, L.      5-13
Brodwin, M.E.      14-10
Bubble functions      227
Buettiker, M.      13-2 18-2
Burnett, D.S.      2-7
Burnett, J.H.      6-16
Butterfield, R.      16-4 18-20 18-40 18-43 C-9
Byer, R.L.      5-31
Capasso, F.      8-2 8-3 8-49 8-53
Cardona, M.      17-31
Carleman, T.      B-5
Carrier mobility      145
Carter, D.L.      17-15
Cauchy principal value      509
Cayley — Hamilton theorem      332
Cendes, Z.J.      13-35
Cerjan, C.      14-4
Chambers, F.A.      5-24 5-25
Chamis, C.C.      18-38
Chandler, A.      11-38
Chandrupatla, T.R.      10-1
Chang, P.C.      8-35 8-47
Chang, R.K.      17-32
Chang, Y.C.      12-17
Chang, Y.P.      18-33
Checkerboard superlattice      286
Chemla, D.S.      12-5 17-33
Chen, B.      8-32 14-17
Chen, D.J.      18-33
Chen, F.F.      17-1
Chen, Z.H.      5-34
Cheong, H.M.      6-16
Cheung, Y.K.      2-5 10-11
Chew, W.C.      13-40
Chiam, T.C.      3-8
Ching, Y.S.      18-46
Chlorophyll      24
Cho, A.Y.      5-30 8-49 8-53
Cho, H.S.      12-5
Choi, H.K.      8-38 8-40
Choi, K.K.      5-29
Cholesky decomposition      333
Chow, D.H.      8-34 8-41 8-42 8-57 8-58
Chu, S.-N.G.      8-53 12-4
Chuang, S.L.      6-20
Churchill, R.V.      A-7
Ciarlet, P.G.      4-6 14-49 14-50
Cibert, J.      12-3
Clough, R.W.      1-25 1-26
Cole, J.B.      14-14—14-16
Collin, R.E.      17-4 18-9
Collins, R.J.      15-9
Complete polynomial      219
Compositionally asymmetric quantum well      136
Condition number      90 334 369
Conjugate gradient method      364 365
Conjugate gradient method, steepest descent      367
Connectivity, degree of      363
Connectivity, element-node      53
Connectivity, element-node in 2D      241
Conner, J.J.      18-36 18-44
Connolly, J.C.      8-48
Constantinescu, F.      2-13 5-15
Conte, S.D.      4-2 A-1
Continuity 2D interelement      219
Continuity- $C_{0}$       63 219
Continuity- $C_{1}$       63 77 221 226
Continuity- $C_{2}$       78
Cooper, F.      14-44 14-55
Cooperman, G.      12-16
Coulomb gauge      171
Courant linear triangular elements      222
Courant, R.      1-15 1-22 2-12 4-4 5-4 9-8 14-2 C-4
Craig, A.      4-10
Crasemann, B.      1-2
Creamer, D.B.      14-15
Cruse, T.A.      18-34
Cui, D.F.      5-34
Cullum, J.K.      15-36
Cuthill, E.      15-10
Cvetkovic, D.M.      18-29
Cyclotron energy      176
Cyclotron frequency      173
Cyclotron radius      173
Dai, N.      5-36
Dapkus, P.D.      8-44
Das Sarma, S.      6-14
Datta, S.      13-8 18-1 18-14
Davidson, E.R.      15-28 15-30
Davies, A.J.      14-30
Davis, M.J.      3-12
Davis, P.S.      A-5
de Boor, C.      4-2 A-1
de Broglie wavelength      5
de Kronig, R.L.      5-39
De May, G.      18-45
de Oliveira, E.R.A.      4-10 4-15 4-16 18-37
Degrees of freedom      67
Delaunay triangulation      247
Delaunay, B.      10-7
Delta-function      525
Demmel, J.      2-3 5-9 15-1
Deng, D.Q.      5-34
Density of states      174

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