Landau, L.D., and Lifshitz. E.M.: Quantum Mechanics (Non-relativistic Theory), volume 3 of Course of Theoretical Physics. Pergamon Press, Oxford, New York, Beijing, Frankfurt, third edition, 1977. Home/Search Document Not in Database Summary Related Articles Check |
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Normal Forms Of Real Symmetric Systems With Multiplicity - Braam, Duistermaat (1993) (4 citations) (Correct)
....equal to one, as is easily verified. The conclusion is that, away from 0 = 0, Sigma corresponds to 2 = b = c = 0, and that outside Sigma we even have p= 6= 0. Also note that Sigma is parametrized by: 2 = 0; 1 = 3 = with 0 6= 0. cf. Kline and Kay [16] and Landau Lifshitz [20]. Using that 0 0 at Sigma; we get that the set U where ff 0 is a conic open neighborhood of Sigma. In U we can write p = 0 (bc Gamma a ) with a : 2 p ff. Also, Sigma is determined by the equations a = b = c = 0 in U . Because da, db and dc are linearly independent, we see ....
E.M. Lifschitz L.D.Landau and L.P. Pitaevskii. Electrodynamics of Continuous Media, volume 8 of Course of Theoretical Physics. Pergamon Press, 1984.
Eigenvalue Estimates in the Semi-Classical Limit for Pauli and .. - Evans, Lewis (1999) (Correct)
.... P 4 =1 R R 6 (OE; F U fl ) F U fl ; u (p; q)dpdq = R Gamma d Omega Gamma fl) OE; F U fl ) F U fl ; u(fl) 10 Coherent state is the name originally reserved for a wave function of the state of a linear oscillator which minimizes the uncertainty relation (see Landau and Lifshitz [10], p.71) the form of which is similar to the coherent state given here. More recently the term has been used in a broader sense. EIGENVALUE ESTIMATES FOR PAULI AND DIRAC OPERATORS 9 for OE; 2 C 1 0 (R 3 ) 4 where u(fl) u (p; q) In order to describe A it is helpful to adopt the ....
Landau, L.D., and Lifshitz. E.M.: Quantum Mechanics (Non-relativistic Theory), volume 3 of Course of Theoretical Physics. Pergamon Press, Oxford, New York, Beijing, Frankfurt, third edition, 1977.
Lattice-Gas Dynamics, Volume I Viscous Fluids - Yepez (1996) (6 citations) (Correct)
....distribution are m X a (f a eq ) ideal LGA = # (2.114) 49 mc X a e ai (f a eq ) ideal LGA = #v i (2.115) mc 2 X a e ai e aj (f a eq ) ideal LGA = #c 2 s (1 g v 2 c 2 )# ij g#v i v j . 2. 116) The form of the ideal part of the momentum flux density tensor should be [56] # Ideal ij = p# ij #v i v j . 2.117) There are two problems encountered here; however I will show that they are related. Firstly, the single speed lattice gas almost produces the correct form for the momentum flux density tensor, except that the diagonal part of # ij appears to have a ....
....conservation (continuity equation) # t # # i (#v i ) 0 (2.190) 69 and momentum conservation (Euler s equation) # t (#v i ) # j # ij =0. 2.191) Note that in the incompressible limit where the density is constant, # t # =0,so there is divergence free flow. Now following Landau and Lifshitz [56], the momentum flux density tensor is written in standard form as mc 2 X a e ai e aj f a = p# ij #v i v j # # ij (2.192) where in (2.192) the first two terms represent the ideal part of the momentum flux density tensor and # # ij = #(# i v j # j v i ) is the viscous stress tensor. ....
L.D. Landau and E.M. Lifshitz. Fluid Mechanics, volume 6 of Course of Theoretical Physics. Pergamon Press, 2nd edition, 1987.
A Quantum Lattice-Gas Model for Computational Fluid Dynamics - Yepez (1999) (2 citations) (Correct)
....is used: # t # # # t and # i # # #x i . The field equation embodying Newton s second law, for a region R expressing the change in the momentum density in terms of the stress applied at the boundary #R, is Euler s equation # t (#v i ) # j # ij =0. 4) Now following Landau and Lifshitz [33], the momentum flux density tensor is written as 7 # ij = P# ij #v i v j #(# i v j # j v i 2 D # k v k # ij ) ## ij # k v k . 5) The viscous stress tensor is # # ij = #(# i v j # j v i 2 D # k v k # ij ) ## ij # k v k , where # and # are the transport coe#cients for the ....
....are defined for the quantum lattice gas system in the continuum limit, by Equations (16) and (17) we can characterize the system using the dimensionless quantities traditionally used to characterize fluid systems. Given the law of similarity (see pg 56 of Fluid Mechanics by Laudau and Lifshitz [33]) the basic approach is that, if the macroscopic scale behavior of the quantum lattice gas is fluid like, then it may be compared to a natural fluid characterized by the same dimensionless quantities. Several dimensionless quantities (the Knudsen, Strouhal, Mach, and Reynolds numbers, and ....
L.D. Landau and E.M. Lifshitz. Fluid Mechanics, volume 6 of Course of Theoretical Physics. Pergamon Press, 2nd edition, 1987.
Compositional Modeling For Spatial Problems - Han (1994) (Correct)
....entity moves, R changes and so does r. The laws of motion are in general different in form for different reference frames. If an arbitrary reference frame is chosen, space would be inhomogeneous and anisotropic and the laws governing simple phenomena may have to be expressed in very complex forms [Landau and Lifshitz, 1976]. This means that, even if an object does not interact with any other objects, its various positions in space and its different orientations would not be mechanically equivalent. The same is in general true of time. For example, a free body which subject to no external action could not remain at ....
Lev D. Landau and Evgenii M. Lifshitz. Mechanics, volume 1 of Course of theoretical physics. Pergamon Press, New York, 3 edition, 1976.
Normal Forms Of Real Symmetric Systems With Multiplicity - Braam, al. (1993) (4 citations) (Correct)
....and that outside Sigma we even have p= 6= 0. Also note that Sigma is parametrized by: 2 = 0; 2 1 = 2 0 ffl 3 (ffl 2 Gamma ffl 1 ) ffl 3 Gamma ffl 1 ; 2 3 = 2 0 ffl 1 (ffl 3 Gamma ffl 2 ) ffl 3 Gamma ffl 1 ; with 0 6= 0. cf. Kline and Kay [16] and Landau Lifshitz [20]. Using that ff = ffl 2 Gamma ffl 1 ) ffl 3 Gamma ffl 2 ) 2 0 0 at Sigma; we get that the set U where ff 0 is a conic open neighborhood of Sigma. In U we can write p = 2 0 (bc Gamma a 2 ) with a : 2 p ff. Also, Sigma is determined by the equations a = b = c = 0 in U . ....
E.M. Lifschitz L.D.Landau and L.P. Pitaevskii. Electrodynamics of Continuous Media, volume 8 of Course of Theoretical Physics. Pergamon Press, 1984.
Studies in Probabilistic Sequence Alignment and Evolution - Holmes (1998) (Correct)
....to the error in the gap positioning, i.e. the edge wander. The edge wander approximation essentially assumes that the entropy (score) fluctuations are small and that the Viterbi path is bound to the correct path. This approximation is similar to perturbative approaches in statistical physics [LL80] When edge wander breaks down, a full treatment of the critical scaling phenomena of the path behaviour is required. Terence Hwa, Michael Lassig and Dirk Drasdo [HL96, Hwa96, DHL97b, DHL97a] have published analyses of this problem that apply the theory of the renormalisation group, successfully ....
L. D. Landau and E. M. Lifshitz. Statistical Physics Part I, volume 5 of Course of Theoretical Physics. Pergamon Press, Oxford, UK, 1980.
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Landau, L.D., and Lifshitz. E.M.: Quantum Mechanics (Non-relativistic Theory), volume 3 of Course of Theoretical Physics. Pergamon Press, Oxford, New York, Beijing, Frankfurt, third edition, 1977.
Distributed Central Pattern Generator Model for . . . - Buchli, al. (2003) (Correct)
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L.D. Landau and E.M. Lifshitz. Statistical Physics, volume 5 of Course of theoretical physics. Pergamon Press London Paris, 1959.
The Classical Lattice-Gas Method - Yepez (1999) (Correct)
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L.D. Landau and E.M. Lifshitz. Fluid Mechanics, volume 6 of Course of Theoretical Physics. Pergamon Press, 2nd edition, 1987.
Lattice-Gas Dynamics, Volume I - Viscous Fluids - Yepez (1995) (6 citations) (Correct)
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L.D. Landau and E.M. Lifshitz. Fluid Mechanics, volume 6 of Course of Theoretical Physics. Pergamon Press, 2nd edition, 1987.
A sharp bound for an eigenvalue moment of the.. - Hundertmark, Lieb.. (1998) (2 citations) (Correct)
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L. D. Landau and E. M. Lifshitz: Quantum Mechanics. Non-relativistic theory. Volume 3 of Course of Theoretical Physics, Pergamon Press (1958)
Derivation of a general fluid equation of state.. - Amadei, Apol.. (1998) (Correct)
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L. D. Landau and E. M. Lifshitz. Statistical physics. Part 1, volume 5 of Course of theoretical physics. Pergamon press, Oxford, 3rd edition, (1980).
Maxwell's Demon and the Entropy Cost of Information - Fahn (1995) (Correct)
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L. D. Landau and E. M. Lifshitz, Statistical Physics, volume 5 of Course of Theoretical Physics, Pergamon Press, Oxford, third edition, 1980.
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