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...le in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc. This list presents differential equations that h ===Quantum mechanics and quantum field theory=== ...

...nance problems in the quantum mechanics of semiconductors and evolutionary biology under periodic environment switching. ...

...treated using [[quantum mechanics]], EVB uses a calibrated [[Hamiltonian (quantum mechanics)|Hamiltonian]] to approximate the potential energy surface of a r ...ental, typically from a reaction in water or other solvents. Alternatively quantum chemical calculations can be used for calibration. ...

...3 = Latha Gearheart }}</ref> [[File:Quantum Dots.jpg|thumb|'''Figure 1:''' Quantum dot solutions emitting yellow-orange and light-blue light, excited by UV li ...electively bind to DNA, which may then be used for cellular or [[Molecular biology|molecular]] level detection.<ref name=QuantumDotImaging2/> ...

High-level ab-initio quantum chemistry methods are known to be an invaluable tool for understanding the [[Category:Molecular biology]] ...

{{distinguish|Quantum Computing}} ...-clustering]] algorithms that use conceptual and mathematical tools from [[quantum mechanics]]. QC belongs to the family of [[Cluster analysis#Density-based ...

...dimension reduction]]. He has also recently become interested in topics in biology, and particularly [[RNA splicing]].<ref>{{Cite web|url=https://cims.nyu.edu ...{2})</math>, but would require more qubits <math>\sim O(n^{3/2})</math> of quantum memory against Shor's <math>\sim O(n)\ </math>. A variant has been proposed ...

...m]]. It is notable for its [[chemical mechanism]], which is dominated by [[quantum tunneling|proton tunneling]].<ref>{{cite journal | vauthors = Masgrau L, Ro {{Portal bar|Biology|border=no}} ...

| title = Detection of objects in quantum-noise limited images | journal=Journal of Structural Biology ...

{{short description|Difference between a laser's optical frequency and quantum resonant frequency}} ...ic clocks]], [[Quantum computing|quantum computers]], and [[Quantum sensor|quantum sensors]]. By adjusting the detuning, researchers and engineers can control ...

...emics/math/faculty/|url-status=live}}</ref> Her research focuses on [[post-quantum cryptography]], and the applied algebra. ...fic board member for several organizations, including NodeQ (a US-UK based quantum start-up), and LifeNome Inc., a biotech company. ...

...small: charge is not localized on just one chemical species but is shared quantum mechanically between two Ru centers, presenting classically forbidden half- ...all molecular geometries, with the extent of the transfer being a critical quantum descriptor of all thermal, tunneling, and spectroscopic processes. It also ...

{{cite book |title=Air and Water: The Biology and Physics of Life's Media |author=Mark W. Denny |url=https://archive.org/ ...a 160Å GaAs quantum well in a GaAs-[[aluminium gallium arsenide|GaAlAs]] [[Quantum heterostructure|heterostructure]] as calculated from envelope functions.<re ...

...systems]], fractal geometry, [[artificial life]], [[DNA computing]], and [[quantum computing]], among others. ...media such as biomolecules (DNA, RNA), or trapped-ion [[#Quantum computing|quantum computing]] devices. ...

* σ, [[sigma factor]] of RNA polymerase in biology * [[Pauli matrices]] in quantum physics ...

...trans-title=Chance and necessity Essay on the natural philosophy of modern biology}}</ref><ref>{{Cite book|title=The Scientific Papers of James Clerk Maxwell| ...principle]] sets fundamental thermodynamical constraints for classical and quantum information processing. Much effort has been dedicated to incorporating inf ...

...nduces a different cellular response. The response may be [[Transcription (biology)|transcription]] of a gene, cell growth, or many other cellular actions.]] ...ans-title = Chance and necessity Essay on the natural philosophy of modern biology | language = French | publisher = Le Seuil | date = 1970 }}</ref> ...

...carbonium ion in the reaction of lysozyme | journal = Journal of Molecular Biology | volume = 103 | issue = 2 | pages = 227–49 | date = May 1976 | pmid = 9856 In quantum mechanics the phase space becomes a space of states, and the probability de ...

...journal |doi=10.1103/PhysRevB.70.165304 |title=Relationship between single quantum-dot intermittency and fluorescence intensity decays from collections of dot ===Quantum dots=== ...

{{short description|Form of spectroscopy employed in physics, chemistry, biology, and other fields}} ...('''SRS'''), is a form of [[spectroscopy]] employed in physics, chemistry, biology, and other fields. The basic mechanism resembles that of [[spontaneous Rama ...