Index
669
Tight-binding model, 266
Time-dependent cosmological background,
414
Time-dependent Hamiltonians
description, 295–296
nonstationary oscillator, 296–297
Time-dependent warp-factors, 448
Time evolution
adjoint operator, 522
continuum models, 528–529
discrete stochastic Burgers equation,
522
DNLS models, 526–528
Feynman–Kac Formula, 524–526
Fokker–Planck equation, 522
Hierarchy of SDEs, 522
Kolmogorov backward equation, 522
non-constant diffusion coefficients, 522
non-self-adjoint operators, 521
quantum canonical transformation, 523
quantum integrable systems, 522
SDEs, 522
SPDEs, 528–529
Time-independent compactifications, 450
Time-independent internal degrees of freedom,
451
TLS-SSH-chain, 636–638
Topological disorder operators, 330
Topological insulator (TI), 308, 310, 317
Topological phase transitions (TPTs), 308
in BiTeI, 311–314
in condensed matter physics, 307
Topological transistors, 309
Toy model, 185, 186
TQQ.q .q tetraquark, 552–554
Trans-Planckian Censorship Conjecture
(TCC), 448
Trans-Planckian problem, 412
Transverse degrees of freedom, 379
Transverse polarizations, 378
Tremblay, Turbiner and Winternitz (TTW)
system, 112
Trigonometric Rosen–Morse (TRM) potentials
description, 238
eigenstates and eigenvalues, 235
Hamiltonian, 239
Schrödinger equation, 238
Tripartite system geometry, 633
Twist knots, 278, 282–283
2D coherent states, 258
2-Dimensional Dirac materials (2DDMs),
317–325
2D isotropic oscillator, 257–258
2D lattice, 23
2D squeezed states, 260–262
Two-level system (TLS), 632
decoherence, 632
Hamiltonian, 633
Two-mode-like squeezing, 261
2N fermion flavors, 328
2 + 1 and 3 + 1 dimensions, 491, 492
Two-soliton Darboux transformation, 43
Type IIA string coupling, 449
U
U (1) extended minimal supersymmetric
extension of the SM (UMSSM),
558–560, 562, 564
Ultimate quantum limit, 625–626
Uncertainty principle
Heisenberg, 257
Robertson–Schrödinger, 257
Unified dark superfluid
canonical variables, 441
concordance model, 441
condensed matter systems, 440
Friedmann equations, 441
interaction, 440
non-relativistic approximation, 440
phonon excitations, 440
slow-roll approximation, 441
Universal affine vertex algebra, 185
Unphysical polarizations, 371
U (1)-VBS transition, 338–341, 343, 344
V
Vacuum expectation values (VEVs), 420, 586,
599
Valence band maximum (VBM) energy,
310–312, 314
Valence-bond solid (VBS)
Columnar VBS order doubles, 340
U (1) lattice gauge theory, 338–341
Vandermonde determinant, 86
Varshni effect, 310
Vector modified KdV (vmKdV)
conservation laws, 512
Drinfel’d–Sokolov scheme, 512
O N -invariant, 512
Lax operators, 513, 519
N -dimensional zero vector, 513
soliton solutions (see Soliton solution,
vmKdV hierarchy)
vector NLS hierarchy, 512, 519
Venn diagrams, 350
669
Tight-binding model, 266
Time-dependent cosmological background,
414
Time-dependent Hamiltonians
description, 295–296
nonstationary oscillator, 296–297
Time-dependent warp-factors, 448
Time evolution
adjoint operator, 522
continuum models, 528–529
discrete stochastic Burgers equation,
522
DNLS models, 526–528
Feynman–Kac Formula, 524–526
Fokker–Planck equation, 522
Hierarchy of SDEs, 522
Kolmogorov backward equation, 522
non-constant diffusion coefficients, 522
non-self-adjoint operators, 521
quantum canonical transformation, 523
quantum integrable systems, 522
SDEs, 522
SPDEs, 528–529
Time-independent compactifications, 450
Time-independent internal degrees of freedom,
451
TLS-SSH-chain, 636–638
Topological disorder operators, 330
Topological insulator (TI), 308, 310, 317
Topological phase transitions (TPTs), 308
in BiTeI, 311–314
in condensed matter physics, 307
Topological transistors, 309
Toy model, 185, 186
TQQ.q .q tetraquark, 552–554
Trans-Planckian Censorship Conjecture
(TCC), 448
Trans-Planckian problem, 412
Transverse degrees of freedom, 379
Transverse polarizations, 378
Tremblay, Turbiner and Winternitz (TTW)
system, 112
Trigonometric Rosen–Morse (TRM) potentials
description, 238
eigenstates and eigenvalues, 235
Hamiltonian, 239
Schrödinger equation, 238
Tripartite system geometry, 633
Twist knots, 278, 282–283
2D coherent states, 258
2-Dimensional Dirac materials (2DDMs),
317–325
2D isotropic oscillator, 257–258
2D lattice, 23
2D squeezed states, 260–262
Two-level system (TLS), 632
decoherence, 632
Hamiltonian, 633
Two-mode-like squeezing, 261
2N fermion flavors, 328
2 + 1 and 3 + 1 dimensions, 491, 492
Two-soliton Darboux transformation, 43
Type IIA string coupling, 449
U
U (1) extended minimal supersymmetric
extension of the SM (UMSSM),
558–560, 562, 564
Ultimate quantum limit, 625–626
Uncertainty principle
Heisenberg, 257
Robertson–Schrödinger, 257
Unified dark superfluid
canonical variables, 441
concordance model, 441
condensed matter systems, 440
Friedmann equations, 441
interaction, 440
non-relativistic approximation, 440
phonon excitations, 440
slow-roll approximation, 441
Universal affine vertex algebra, 185
Unphysical polarizations, 371
U (1)-VBS transition, 338–341, 343, 344
V
Vacuum expectation values (VEVs), 420, 586,
599
Valence band maximum (VBM) energy,
310–312, 314
Valence-bond solid (VBS)
Columnar VBS order doubles, 340
U (1) lattice gauge theory, 338–341
Vandermonde determinant, 86
Varshni effect, 310
Vector modified KdV (vmKdV)
conservation laws, 512
Drinfel’d–Sokolov scheme, 512
O N -invariant, 512
Lax operators, 513, 519
N -dimensional zero vector, 513
soliton solutions (see Soliton solution,
vmKdV hierarchy)
vector NLS hierarchy, 512, 519
Venn diagrams, 350