Holographic Gravity and the Surface term in the Einstein
... example.) In the Newtonian limit with g00 = −(1 + 2φ), this leads to P = 2∇φ = −2g which is proportional to the gravitational acceleration. The contribution from any surface is then clearly the normal component of the acceleration, ie., surface gravity, even in the Newtonian limit. [As an aside, let ...
... example.) In the Newtonian limit with g00 = −(1 + 2φ), this leads to P = 2∇φ = −2g which is proportional to the gravitational acceleration. The contribution from any surface is then clearly the normal component of the acceleration, ie., surface gravity, even in the Newtonian limit. [As an aside, let ...
Problems Chapter 9
... Our problem has only two states, conventionaly denoted by È +\ and È -\The . constant E0 given in the text of the exercise is just an additive constant to the energy and will be disregarded from now on. The Hamiltonian can be considered in a form H = H0 + V; H0 = ...
... Our problem has only two states, conventionaly denoted by È +\ and È -\The . constant E0 given in the text of the exercise is just an additive constant to the energy and will be disregarded from now on. The Hamiltonian can be considered in a form H = H0 + V; H0 = ...
Thermodynamic framework for the ground state of a
... by values that are much higher than typical room temperatures (θ ≫ T ), so that the thermal noise can be neglected as a good approximation (T /θ ≃ 0); (e) it is consistent with the definition of a Carnot cycle, whose efficiency was shown to be η = 1 − (θ2 /θ1 ), where θ1 and θ2 represent the effecti ...
... by values that are much higher than typical room temperatures (θ ≫ T ), so that the thermal noise can be neglected as a good approximation (T /θ ≃ 0); (e) it is consistent with the definition of a Carnot cycle, whose efficiency was shown to be η = 1 − (θ2 /θ1 ), where θ1 and θ2 represent the effecti ...
Can Molecules Have Permanent Electric Dipole Moments?
... particle can have a nonzero electric dipole moment by both parity and time reversal symmetries.'J While violation of parity is common in particle physics, violations of time reversal symmetry have been established in only one particular case.3 Attempts to measure a dipole moment for the free neutron ...
... particle can have a nonzero electric dipole moment by both parity and time reversal symmetries.'J While violation of parity is common in particle physics, violations of time reversal symmetry have been established in only one particular case.3 Attempts to measure a dipole moment for the free neutron ...
Kern- und Teilchenphysik I Lecture 10: Dirac Equation II
... • The covariance of the Dirac equation will be established if the 4x4 matrix S exists. • Consider a Lorentz transformation with the primed frame moving with velocity v along the x axis where ...
... • The covariance of the Dirac equation will be established if the 4x4 matrix S exists. • Consider a Lorentz transformation with the primed frame moving with velocity v along the x axis where ...
Angular Momentum in Quantum Mechanics
... This equation is satisfied for m = 0, ±1, ±2, ±3, .... The eigenvalues of the operator Lz are thus m~, with m being integer (positive or negative) or zero. The number m is called the magnetic quantum number, due to the role it plays in the motion of charged particles in magnetic fields. This means, ...
... This equation is satisfied for m = 0, ±1, ±2, ±3, .... The eigenvalues of the operator Lz are thus m~, with m being integer (positive or negative) or zero. The number m is called the magnetic quantum number, due to the role it plays in the motion of charged particles in magnetic fields. This means, ...
A limit relation for quantum entropy, and channel capacity per unit cost
... that the state is N , against the alternative hypothesis that it is N . This test incorrectly accepts the null hypothesis (error of the rst kind) with probability [E ], and incorrectly rejects it (error of the second kind) with probability [E ]. Lemma 4. Assume that " > 0, 0 < R < S ( k ), ...
... that the state is N , against the alternative hypothesis that it is N . This test incorrectly accepts the null hypothesis (error of the rst kind) with probability [E ], and incorrectly rejects it (error of the second kind) with probability [E ]. Lemma 4. Assume that " > 0, 0 < R < S ( k ), ...
Advanced Quantum Mechanics - Pieter Kok
... are based on this inequality, such as the Heisenberg uncertainty relation between observables, therefore have a very general validity. ...
... are based on this inequality, such as the Heisenberg uncertainty relation between observables, therefore have a very general validity. ...
Thermal effects on sudden changes and freezing
... as in Eq. (3) for all the reservoirs at zero temperature. We observe the quantum-classical sudden transition in the case of our CQED model similar to other studied systems [6–16]. Besides the classical correlations (CCs), entropic QD, and relative entropy of entanglement (REE), we have also studied ...
... as in Eq. (3) for all the reservoirs at zero temperature. We observe the quantum-classical sudden transition in the case of our CQED model similar to other studied systems [6–16]. Besides the classical correlations (CCs), entropic QD, and relative entropy of entanglement (REE), we have also studied ...
Half-integral weight Eichler integrals and quantum modular forms
... on R\{γ −1 ∞}. This provides one of the first examples of the burgeoning new theory of quantum modular forms, laid out by Zagier [22], which we review in Section 2.2. Essentially, a quantum modular form of weight k is a complex-valued function f on Q whose modular obstructions, or cocycles, f |k (1 ...
... on R\{γ −1 ∞}. This provides one of the first examples of the burgeoning new theory of quantum modular forms, laid out by Zagier [22], which we review in Section 2.2. Essentially, a quantum modular form of weight k is a complex-valued function f on Q whose modular obstructions, or cocycles, f |k (1 ...
A Brief Survey Of Quantum Programming Languages
... Quantum computing is a relatively young subject. It has its beginnings in 1982, when Paul Benioff and Richard Feynman independently pointed out that a quantum mechanical system can be used to perform computations [11, p.12]. Feynman’s interest in quantum computation was motivated by the fact that it ...
... Quantum computing is a relatively young subject. It has its beginnings in 1982, when Paul Benioff and Richard Feynman independently pointed out that a quantum mechanical system can be used to perform computations [11, p.12]. Feynman’s interest in quantum computation was motivated by the fact that it ...