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1 o the underlying mathematical formulation of quantum mechanics.
2 n only be formulated within the framework of quantum mechanics.
3 tanglement is the most surprising feature of quantum mechanics.
4 canning transmission electron microscopy and quantum mechanics.
5 of Born's rule are well-accepted tenants of quantum mechanics.
6 tomechanical system for studying macroscopic quantum mechanics.
7 e connection between statistical physics and quantum mechanics.
8 cal technologies that exploit the effects of quantum mechanics.
9 ts on real materials since the early days of quantum mechanics.
10 any unusual and counterintuitive features of quantum mechanics.
11 nt is one of the most intriguing features of quantum mechanics.
12 mance is limited by the adiabatic theorem of quantum mechanics.
13 n debated as the answer lies at the heart of quantum mechanics.
14 phase, a curious entity first discovered in quantum mechanics.
15 umber of important and fundamental issues in quantum mechanics.
16 of quantum gravity through well-established quantum mechanics.
17 Information is central to quantum mechanics.
18 important case of Schrodinger's equation in quantum mechanics.
19 degree of freedom for fundamental studies in quantum mechanics.
20 n atomic scales, nature behaves in line with quantum mechanics.
21 ectronic properties governed by relativistic quantum mechanics.
22 a phenomenon which lies at the very heart of quantum mechanics.
23 rified by information-theoretical limits and quantum mechanics.
24 his wave-particle duality is at the heart of quantum mechanics.
25 radiation helped to build the foundations of quantum mechanics.
26 he fundamental, exactly solvable problems in quantum mechanics.
27 netism, acoustical waves and matter waves in quantum mechanics.
28 n physics and coincide with the emergence of quantum mechanics.
29 been central to foundational discussions of quantum mechanics.
30 er measurement limits imposed by the laws of quantum mechanics.
31 position principle is a fundamental tenet of quantum mechanics.
32 relativity and nonlocal effects predicted by quantum mechanics.
33 xPoN force field for water based entirely on quantum mechanics.
34 facet of this material with first-principles quantum mechanics.
35 tential for resolving foundational issues in quantum mechanics.
36 c physics usually found in ultrarelativistic quantum mechanics.
37 security guaranteed by the physical laws of quantum mechanics.
38 and are thus not restricted to the realm of quantum mechanics.
39 msauer-Townsend effect occurring in ordinary quantum mechanics.
40 was proposed as key steps and verified using quantum mechanics.
41 absolute security guaranteed by the laws of quantum mechanics.
42 e-slit experiment "...has in it the heart of quantum mechanics.
43 provided by fields as varied as zoology and quantum mechanics.
47 t are often perceived as the yin and yang of quantum mechanics: a particle simultaneously propagating
48 be explained as the back-action required by quantum mechanics adding quantum noise to a classical si
50 with matter at the atomic scale, the laws of quantum mechanics also govern the properties of macrosco
51 are now widely used for fundamental tests of quantum mechanics and applications such as quantum crypt
54 n = 1, 2, 3, 4) using both stationary state quantum mechanics and first principle molecular dynamics
55 lar to the Born-Oppenheimer approximation in quantum mechanics and follows from the stochastic path i
56 o improving our fundamental understanding of quantum mechanics and have applications for quantum info
58 ral concept in fundamental investigations of quantum mechanics and in quantum communication applicati
59 icles constitutes a fundamental signature of quantum mechanics and is a key resource for quantum info
60 certainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum
61 of the most funda- mental manifestations of quantum mechanics and it is at the core of many famous q
63 ding connections to smaller length scales of quantum mechanics and larger length scales of coarse-gra
65 mulation to prepare the complex for combined quantum mechanics and molecular mechanics (QM/MM) calcul
66 etical strategies, the application of hybrid quantum mechanics and molecular mechanics (QM/MM) models
69 tion of X-ray structural models by combining quantum mechanics and molecular mechanics simulations wi
73 the symmetry group relating non-relativistic quantum mechanics and special relativity via their "myst
76 analysis of the buildup allows us to compare quantum mechanics and the corpuscular model, which aims
77 f a theory of monopoles consistent with both quantum mechanics and the gauge invariance of the electr
79 maining open question is whether the laws of quantum mechanics and thermodynamics allow the existence
80 To appreciate the deep connection between quantum mechanics and thermodynamics we need only recall
81 um postulates, often referred to as "unitary quantum mechanics", and the assumption that ensembles on
82 central to understanding the foundations of quantum mechanics, and are a powerful diagnostic tool fo
83 analysis with extensive molecular dynamics, quantum mechanics, and hybrid QM/MM simulations to provi
84 is one of the most fundamental properties of quantum mechanics, and is the key resource for quantum i
85 ses, it does not rely on the universality of quantum mechanics, and it is independent of the interpre
86 tangled electrons is an important concept in quantum mechanics, and necessary for advances in quantum
87 ntum information science, the foundations of quantum mechanics, and scattering and imaging of magneti
91 served and observer are both assumed to obey quantum mechanics, as in the many-worlds interpretation
94 pic data and the assignment was confirmed by quantum mechanics-based NMR chemical shift calculations.
96 52 residues of this species occur naturally, quantum-mechanics-based force-field parametrization was
97 measurement process plays an awkward role in quantum mechanics, because measurement forces a system t
98 played a critical role in the development of quantum mechanics, but even today the unique properties
99 ution of bonding, rooted in the formalism of quantum mechanics, but otherwise conceptually and method
100 re verified with computational chemistry and quantum mechanics by molecular dynamics simulation progr
101 inciples density function theory (DFT) based quantum mechanics calculation results of atomic clusteri
105 res and provide a comparison with high-level quantum mechanics calculations of short peptoid oligomer
109 we used NMR (1)H chemical shift coupled with quantum mechanics calculations to examine the interactio
110 ugh a combination of molecular mechanics and quantum mechanics calculations, we evaluate the polariza
111 insight into how the probabilistic nature of quantum mechanics can be related to secure communication
113 entangled emitters, which is at the heart of quantum mechanics, can be made visible in the photon sta
114 are inextricably and quantitatively linked: Quantum mechanics cannot be more nonlocal with measureme
118 c studies, a monosilylated model system, and Quantum Mechanics computations provide insight into the
122 as input a SMILES of a compound and uses six quantum mechanics descriptors to identify its reactive s
125 issipative systems in terms of non-Hermitian quantum mechanics enabling the identification of a class
126 necessary for fundamental investigations of quantum mechanics, for increasing the sensitivity of qua
129 cent studies in quantum biology suggest that quantum mechanics help us to explore quantum processes i
131 at force-field-like efficiency and captures quantum mechanics in an analytically differentiable repr
133 fundamental theories proposed that go beyond quantum mechanics, in which the breakdown of quantum the
134 unique system for experiments in fundamental quantum mechanics, including the generation of large qua
135 UV/Vis/NIR spectroscopic studies and DFT quantum mechanics indicate that the folding of the short
137 most clearly the fact that the linearity of quantum mechanics is intimately connected to the strong
139 cal phenomenon found within the framework of quantum mechanics is the 'quantum Cheshire Cat': if a qu
141 tal manifestation of this basic principle of quantum mechanics, its link to the quantum nature of lig
142 show that any single-world interpretation of quantum mechanics leads to inconsistent predictions if i
143 The duality principle, a cornerstone of quantum mechanics, limits the coexistence of wave and pa
147 and residence time was demonstrated through quantum mechanics methods and further supported by exper
149 tal results and simulations of the ab initio quantum mechanics molecular dynamics prove that the stru
150 eolus using stopped-flow, rapid-quench flow, quantum/mechanics molecular mechanics calculations, crys
151 ed Pt strain by the fct-FePt as suggested by quantum mechanics-molecular mechanics (QM-MM) simulation
152 ansfer in wild type (WT) ecDHFR using hybrid quantum mechanics-molecular mechanics free energy simula
153 eaction in an SNT called GlmU through hybrid quantum mechanics-molecular mechanics molecular dynamics
154 actor simulation protocol consists of hybrid quantum mechanics-molecular mechanics-based high tempera
159 amoylated FAAH is investigated by means of a quantum mechanics/molecular mechanics (QM/MM) approach.
160 xtended graphics processing unit (GPU)-based quantum mechanics/molecular mechanics (QM/MM) approaches
161 Our density functional theory (DFT)-based quantum mechanics/molecular mechanics (QM/MM) calculatio
162 The mechanism and pH effect are supported by quantum mechanics/molecular mechanics (QM/MM) calculatio
163 cular dynamics (MD) simulations and combined quantum mechanics/molecular mechanics (QM/MM) calculatio
164 ependence requires expensive and specialized quantum mechanics/molecular mechanics (QM/MM) calculatio
165 s, thermodynamic integration, and high-level quantum mechanics/molecular mechanics (QM/MM) calculatio
166 by using density functional theory (DFT) and quantum mechanics/molecular mechanics (QM/MM) calculatio
169 dded in a solvated DNA dodecamer by means of quantum mechanics/molecular mechanics (QM/MM) Car-Parrin
170 with the use of molecular mechanics (MM) and quantum mechanics/molecular mechanics (QM/MM) computatio
171 d oxidation are characterized at the uniform quantum mechanics/molecular mechanics (QM/MM) computatio
172 ular dynamics (CPMD) simulations, in a mixed quantum mechanics/molecular mechanics (QM/MM) framework,
175 sual pigments was carried out using a hybrid quantum mechanics/molecular mechanics (QM/MM) method.
177 mulations to reaction modelling using hybrid quantum mechanics/molecular mechanics (QM/MM) methods.
178 e have combined NMR pK(a) determination with quantum mechanics/molecular mechanics (QM/MM) modeling t
179 MED) analyses, of quantum mechanics (QM) and quantum mechanics/molecular mechanics (QM/MM) models of
180 effective in the development of the combined quantum mechanics/molecular mechanics (QM/MM) models.
181 ed quantum mechanics calculations and hybrid quantum mechanics/molecular mechanics (QM/MM) simulation
182 n paramagnetic resonance (EPR) spectroscopy, quantum mechanics/molecular mechanics (QM/MM) simulation
183 UTPase-catalyzed reaction carried out in and quantum mechanics/molecular mechanics (QM/MM) simulation
184 ed using a tailored approach based on hybrid quantum mechanics/molecular mechanics (QM/MM) simulation
185 tural systems, as demonstrated by the hybrid quantum mechanics/molecular mechanics (QM/MM) simulation
187 family, at 2.15 angstrom resolution and used quantum mechanics/molecular mechanics (QM/MM) to investi
188 e-energy-reactivity correlation behavior and quantum mechanics/molecular mechanics (QM/MM) trajectori
192 on of this cis peptide bond using a combined quantum mechanics/molecular mechanics approach together
193 rom the complex structure and using a hybrid quantum mechanics/molecular mechanics approach, we inves
195 use classical molecular dynamics and hybrid quantum mechanics/molecular mechanics calculations at th
196 mparative molecular dynamics simulations and quantum mechanics/molecular mechanics calculations indic
197 lights the basic requirements from ab initio quantum mechanics/molecular mechanics calculations of ac
199 dy uses density functional theory and hybrid quantum mechanics/molecular mechanics calculations to in
203 ent molecular dynamics simulations and ONIOM quantum mechanics/molecular mechanics calculations.
204 he relaxed structure was used for a combined quantum mechanics/molecular mechanics exploration of the
206 eptor substrate and demonstrate, by means of quantum mechanics/molecular mechanics metadynamics simul
207 strate at the transition state, we performed quantum mechanics/molecular mechanics metadynamics simul
211 adband transient absorption measurements and quantum mechanics/molecular mechanics molecular dynamics
212 mbine computational methods (ligand docking, quantum mechanics/molecular mechanics optimization, and
213 tical spectroscopies and non-adiabatic mixed quantum mechanics/molecular mechanics simulations in the
214 in aqueous solution is analyzed by means of quantum mechanics/molecular mechanics simulations includ
215 his critical topic, we carried out extensive quantum mechanics/molecular mechanics simulations to cal
225 ioinformatics, molecular dynamics and hybrid quantum mechanics/molecular mechanics to analyze sequenc
226 les density functional theory and multiscale quantum mechanics/molecular mechanics, we report C-termi
227 ing molecular dynamics simulation and hybrid quantum mechanics/molecular mechanics, we show that ferr
229 odurans ribonuclease (RNase) H1 using hybrid quantum-mechanics/molecular mechanics (QM/MM) free energ
230 ns of membrane-embedded PSII with high-level quantum-mechanics/molecular-mechanics (QM/MM) calculatio
231 Here we investigate this reaction step by a quantum-mechanics/molecular-mechanics approach in combin
232 igurational perturbation theory to construct quantum-mechanics/molecular-mechanics models of Az48W(*)
234 nformation and studies of the foundations of quantum mechanics, OAM control of neutrons has yet to be
235 rhythm of applause and neuron firing to the quantum mechanics of coupled Josephson junctions, but ha
237 ties of all materials arise largely from the quantum mechanics of their constituent electrons under t
238 processes, even those exploiting the laws of quantum mechanics or involving an infinite-dimensional r
245 re, we present a combined molecular dynamics/quantum mechanics protocol that accurately predicts expe
247 framework for decision-making that, by using quantum mechanics, provides more generalised cognitive a
248 tion on a Ag(111) surface, based on coupling quantum mechanics (QM) and ambient-pressure X-ray photoe
249 electron delocalization (HOMED) analyses, of quantum mechanics (QM) and quantum mechanics/molecular m
250 amer library development methods that employ quantum mechanics (QM) and/or molecular mechanics (MM) e
254 ectrode surface experimentally, or carry out Quantum Mechanics (QM) calculations with a realistic des
258 akes of these new COFs were determined using quantum mechanics (QM)-based force fields and grand cano
260 ed molecular orbital and molecular mechanics(quantum mechanics:quantum mechanics')] computational stu
261 ions to update atomic partial charges of the quantum mechanics region and to ensure consistent electr
263 ch argues that the consistency of elementary quantum mechanics requires that the electromagnetic fiel
269 eys the principles of general relativity and quantum mechanics, such a picture is, at most, a conveni
271 Here we derive a semiclassical extension of quantum mechanics that applies to different metrics, but
272 ough a potential barrier is a key feature of quantum mechanics that goes to the core of wave-particle
275 the light of applications of zero forcing in quantum mechanics, the link with Boolean functions may s
276 se results highlight the subtle interplay of quantum mechanics, thermodynamics and information theory
278 l methods (Molecular Dynamics, Semiempirical Quantum Mechanics, Time-Dependent Density Functional The
282 essure X-ray photoelectron spectroscopy with quantum mechanics to examine the processes as Ag is expo
283 imulation approach of molecular dynamics and quantum mechanics to investigate the binding modes of ph
285 lize a combination of molecular dynamics and quantum mechanics to investigate the through-space and t
286 ing from tests of various collapse models of quantum mechanics to miniature quantum memory elements i
288 al potential kinetics (GCP-K) formulation of quantum mechanics to predict the kinetics as a function
289 ryptography exploits the fundamental laws of quantum mechanics to provide a secure way to exchange pr
290 uantum computers utilize the fundamentals of quantum mechanics to solve computational problems more e
291 aviour without assuming the applicability of quantum mechanics to the system in question, this experi
292 ink I can safely say that nobody understands quantum mechanics." Today we know that quantum theory de
293 e equations of general relativity, chaos and quantum mechanics via a universal geodesic equation.
294 n 1929, only three years after the advent of quantum mechanics, von Neumann and Wigner showed that Sc
295 study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenber
296 his insight led us to develop an approach to quantum mechanics which relies on pre- and postselection
299 rising and counter-intuitive consequences of quantum mechanics, with potent applications in cryptogra
300 espondence between statistical mechanics and quantum mechanics, yielding an expression for the charac