Chapter 13 Ideal Fermi gas
... In the low temperature limit, z is large and one cannot use power series expansion for deriving an asymptotic formula for f3/2 (z). Instead, such a formula is obtained by the ...
... In the low temperature limit, z is large and one cannot use power series expansion for deriving an asymptotic formula for f3/2 (z). Instead, such a formula is obtained by the ...
pdf
... The symplectic approach to semiclassical dynamics is also natural in the following sense: Semiclassical dynamics is roughly speaking quantum dynamics in the regime close to classical dynamics; but then the basic equations of classical and quantum dynamics are both Hamiltonian systems with respect to ...
... The symplectic approach to semiclassical dynamics is also natural in the following sense: Semiclassical dynamics is roughly speaking quantum dynamics in the regime close to classical dynamics; but then the basic equations of classical and quantum dynamics are both Hamiltonian systems with respect to ...
Fidelity as a figure of merit in quantum error correction
... hand, logical code words are allowed to interact with a reservoir system, such errors can approximately be corrected if criteria given in [10] are satisfied, reaching a fidelity of the same order (in the error rate) as the reversible case. Other codes take advantage of the fact that in addition to c ...
... hand, logical code words are allowed to interact with a reservoir system, such errors can approximately be corrected if criteria given in [10] are satisfied, reaching a fidelity of the same order (in the error rate) as the reversible case. Other codes take advantage of the fact that in addition to c ...
Quantum hair on black holes
... Further correlations could in principle be calculated order-by-order in /), but it is most unlikely that they are adequate to avoid the core of the problem the apparent threat to normal quantum mechanics posed by the stochastic radiation. The core of the problem is qualitative: for the causal struct ...
... Further correlations could in principle be calculated order-by-order in /), but it is most unlikely that they are adequate to avoid the core of the problem the apparent threat to normal quantum mechanics posed by the stochastic radiation. The core of the problem is qualitative: for the causal struct ...
Physics 2170 - University of Colorado Boulder
... Classical electricity and magnetism theory combined with classical mechanics theory allow for these orbits. That’s the good news. There were two problems, both of which come from classical EM theory which states that any charged particle that experiences acceleration must radiate electromagnetic wav ...
... Classical electricity and magnetism theory combined with classical mechanics theory allow for these orbits. That’s the good news. There were two problems, both of which come from classical EM theory which states that any charged particle that experiences acceleration must radiate electromagnetic wav ...
Spectral And Dynamical Properties Of Strongly Correlated Systems
... application of Quantum Monte Carlo methods to bosonic problems at the equilibrium is therefore a well consolidated achievement of modern computational physics. [36, 54] However, numerous problems have to be faced when trying to extend these methodologies to other relevant systems. In particular, unv ...
... application of Quantum Monte Carlo methods to bosonic problems at the equilibrium is therefore a well consolidated achievement of modern computational physics. [36, 54] However, numerous problems have to be faced when trying to extend these methodologies to other relevant systems. In particular, unv ...
SHM
... A point mass is attached to the lower end of a light spring fixed at the upper end. The mass is made to oscillate vertically. If the potential energy of the system is taken to be zero when the mass is at its equilibrium position, the speed of the mass at the equilibrium position is directly proporti ...
... A point mass is attached to the lower end of a light spring fixed at the upper end. The mass is made to oscillate vertically. If the potential energy of the system is taken to be zero when the mass is at its equilibrium position, the speed of the mass at the equilibrium position is directly proporti ...
The Deep Physics Behind the Second Law: Information and Energy
... underlying principle of nature for which the individual formulations of the law are special cases? We would like to be able to clearly articulate what essential feature of nature one would have to change in order to ‘turn off’ the second law. It seems likely that traditional statements of the second ...
... underlying principle of nature for which the individual formulations of the law are special cases? We would like to be able to clearly articulate what essential feature of nature one would have to change in order to ‘turn off’ the second law. It seems likely that traditional statements of the second ...
electrostatics_wkbk
... If we were to lift an object in a gravitational field, the amount of energy used to lift the object would depend on three things; it's mass, the strength of the gravitational field, and the height lifted. Near the surface of the Earth the gravitational field strength is nearly constant, namely g = 9 ...
... If we were to lift an object in a gravitational field, the amount of energy used to lift the object would depend on three things; it's mass, the strength of the gravitational field, and the height lifted. Near the surface of the Earth the gravitational field strength is nearly constant, namely g = 9 ...
Introduction to Quantum Field Theory
... Another application is to the computation of the ground state energy E0 . If we insert a complete set of eigenstates of Ĥ into (1) in the limit τf − τi ≡ T → ∞, the leading term has the form ∼ e−E0 T . On the other hand, in (2) this is given by paths q(τ ) which minimise SE [q]. Typically they must ...
... Another application is to the computation of the ground state energy E0 . If we insert a complete set of eigenstates of Ĥ into (1) in the limit τf − τi ≡ T → ∞, the leading term has the form ∼ e−E0 T . On the other hand, in (2) this is given by paths q(τ ) which minimise SE [q]. Typically they must ...
Half-integral weight Eichler integrals and quantum modular forms
... way. For example, f is usually only well-defined on Q, whereas f |k (1 − γ) typically extends to an open set of R and is differentiable, smooth, etc. Since [16], there has been an explosion of research aimed at constructing examples of quantum modular forms related to non-holomorphic Eichler integra ...
... way. For example, f is usually only well-defined on Q, whereas f |k (1 − γ) typically extends to an open set of R and is differentiable, smooth, etc. Since [16], there has been an explosion of research aimed at constructing examples of quantum modular forms related to non-holomorphic Eichler integra ...
Computing with Highly Mixed States
... When two mixed states have distinct density matrices (say ρ1 and ρ2 ), it is natural to ask how well they can be distinguished by a measurement. The answer is that the least-error measurement is one that measures in the basis that diagonalizes ρ1 − ρ2 . The success probability is proportional to the ...
... When two mixed states have distinct density matrices (say ρ1 and ρ2 ), it is natural to ask how well they can be distinguished by a measurement. The answer is that the least-error measurement is one that measures in the basis that diagonalizes ρ1 − ρ2 . The success probability is proportional to the ...
