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...multi-mode ballistic ring: Beyond Landauer and Kubo | journal=Europhysics Letters (EPL) | volume=76 | issue=5 | year=2006 | issn=0295-5075 | doi=10.1209/epl/ ...| last3=Cohen | first3=D | title=Semilinear response | journal=Europhysics Letters (EPL) | volume=75 | issue=5 | year=2006 | issn=0295-5075 | doi=10.1209/epl/ ...

...om two [[multivariate normal|<math>p</math>-variate normal distributions]] with unknown mean vectors <math>\mu_i</math> and unknown [[covariance matrix|dis \tilde{S_i} &= \frac{1}{n_i}S_i, \\ ...

...aggregative game'' if for each player ''i'' there exists a function <math>\tilde{f}_i:S_i \times \mathbb{R} \to \mathbb{R} </math> such that for all <math> : <math> f_i(s)=\tilde{f}_i \left( s_i,\sum_{j=1}^n s_j \right) </math> ...

...e the motion of the particle is characterized by its power spectrum <math>\tilde{P}(q,\omega)</math>. Consequently, at finite temperature the expression for ...phi} \ = \ \int d{q} \int \frac{d\omega}{2\pi} \,\tilde{S}({q},\omega) \, \tilde{P}(-{q},-\omega) ...

...y)|solution]] component in a [[mixture]] or solution is a quantity defined with the purpose of isolating the contribution of each component to the [[ideal :<math> V=V_0 + {}^\phi{V}_1 \ =\tilde{V}_{0} n_{0} + {}^\phi\tilde{V}_1 n_1 \,</math> ...

...iltonian Simulation by Quantum Signal Processing|journal = Physical Review Letters|volume = 118|pages = 010501|year = 2017| issue=1 |bibcode = 2017PhRvL.118a0 ...gree ''d'' and <math>A^\dagger</math> denotes the [[conjugate transpose]], with only ''d'' applications of the circuit and one ancilla qubit. This can be d ...

...[[Hamiltonian mechanics#Mathematical formalism|Hamiltonian]] is associated with the Lagrangian via a [[Legendre transformation#Hamilton-Lagrange mechanics| ...table Self-Interacting Pais-Uhlenbeck Oscillator |journal= Modern Physics Letters A|volume=28|issue=1350165|arxiv=1302.5257|doi=10.1142/S0217732313501654|yea ...

...id is injected, displacing a more viscous fluid; in the inverse situation, with the more viscous displacing the other, the interface is stable and no insta ...reaming Instability in Growing Cell Populations| journal = Physical Review Letters| volume = 104| issue = 20| pages = 208101| year = 2010| last1 = Mather | fi ...

...nstruction of an object from the modulus of its Fourier transform,” Optics Letters, vol. 3, no. 1, pp. 27-29, July 1978</ref> ...an be approximately implemented, the resultant reconstructed signal <math>\tilde x(n_1, n_2,....,n_m)</math> can have very large reconstruction errors due t ...

...nded spin connection as a variable for canonical gravity | journal=Physics Letters B | publisher=Elsevier BV | volume=196 | issue=1 | year=1987 | issn=0370-26 ...a \beta}}^{IJ}</math> is the actual Ricci scalar <math>R</math>. Variation with respect to the tetrad gives Einstein's equation ...

| journal = Physics Letters A ...tion <math>\psi(t,\omega)</math> of an [[open quantum system]] interacting with an observer: ...

|journal=[[Physical Review Letters]] |journal=[[Physical Review Letters]] ...

...</math> to an integrable class of mixed [[nonlinear Schrödinger equation]] with cubic–quintic nonlinearity, given in a representative form ...= Zhang |title= Various exact travelling wave solutions for Kundu equation with fifth order nonlinear terms|journal= Rep. Math. Phys.|volume=65|issue= 2 |y ...

...traction <math>(z_i,z_j)\mapsto z</math> sends <math>\Phi</math> to <math>\tilde{\Phi}=a+dz</math>.<ref name=lebowitz>{{cite journal|last1=Lebowitz|first1=J ...vid|title=Extension of the Lee–Yang Circle Theorem|journal=Physical Review Letters|date=1971|volume=26|issue=6|pages=303–304|url=https://www.ihes.fr/~ruelle/P ...

...t describes the temporal change of a height field <math>h(\vec x,t)</math> with spatial coordinate <math>\vec x</math> and time coordinate <math>t</math>: Here, <math>\eta(\vec x,t)</math> is [[White noise|white]] [[Gaussian noise]] with average ...

When a resonant cavity is perturbed, e.g. by introducing a foreign object with distinct material properties into the cavity or when the shape of the cavit ...n changes the optical response is a classical problem in electromagnetics, with important implications spanning from the radio-frequency domain to present- ...

<math>AST \left \{\tilde{E}_{in}(\omega) \right \} = \int_{-\infty}^\infty {\tilde{E}_{in}^*(\omega)\tilde{E}_{in}(\omega+\omega_m) ...

...he '''standard quantum limit''' in interferometry) and can be circumvented with advanced state preparation and measurement schemes. ...[observable]] of a system under study that does not [[Commutator|commute]] with itself at different times leads to such limits. In short, it is the [[Uncer ...

...\rm B}B</math>. In the same way, under a resonant AC magnetic field <math>\tilde{\mathbf{B}}(t)</math> at the frequency <math>\omega_S=g\mu_{\rm B}B/\hbar</ ...\hbar c\approx1/137</math> . However, this constant appears in combination with the atomic number <math>Z</math> as <math>Z\alpha</math>,<ref>[[Lev Landau| ...

...y''' is an instability in the shape of the [[Fermi surface]] of a material with interacting [[fermion]]s, causing [[Lev Landau|Landau]]’s [[Fermi liquid th ...h display="inline">\Gamma_{(K_3,K_4;K_1,K_2)}</math> describes the diagram with two incoming electrons of momentum <math display="inline">K_1</math> and {{ ...