A simple and effective approach to calculate the energy of complex
... It is well known that exact solutions of the Schrödinger equation can be found in a few cases [1–5]. With relation to atomic physics, are treated in general hydrogenic atoms and the ground configuration of He but, in this case, not all necessary calculations are presented in detail [6–8]. In this w ...
... It is well known that exact solutions of the Schrödinger equation can be found in a few cases [1–5]. With relation to atomic physics, are treated in general hydrogenic atoms and the ground configuration of He but, in this case, not all necessary calculations are presented in detail [6–8]. In this w ...
Unified Treatment of Quantum Fluctuation Theorem and Jarzynski
... in classical system where all observables commute with each other and the value of the entropy production is unique. We note that ∆S is clearly considered as entropy production when these observables diagonalize the density matrices ρ(0) and ρ(T ) respectively. For example, when the system is in equ ...
... in classical system where all observables commute with each other and the value of the entropy production is unique. We note that ∆S is clearly considered as entropy production when these observables diagonalize the density matrices ρ(0) and ρ(T ) respectively. For example, when the system is in equ ...
general-relativity as an effective-field theory
... of the theory and are manifested in the nonlocal/nonanalytic contributions to vertex functions and propagators. These leading quantum corrections are parameter-free and represent necessary consequences of quantum gravity. The methodology is illustrated by a calculation of the leading quantum correct ...
... of the theory and are manifested in the nonlocal/nonanalytic contributions to vertex functions and propagators. These leading quantum corrections are parameter-free and represent necessary consequences of quantum gravity. The methodology is illustrated by a calculation of the leading quantum correct ...
Models relevant to excess heat production in fleischmann- pons experiments Please share
... All of which provides motivation for the models discussed below. We have focused for several years on a class of models, which seek to address violations of local energy and momentum conservation, and also to address the problem of the conversion of a large energy quantum into a large number of smal ...
... All of which provides motivation for the models discussed below. We have focused for several years on a class of models, which seek to address violations of local energy and momentum conservation, and also to address the problem of the conversion of a large energy quantum into a large number of smal ...
Path Integrals in Quantum Mechanics
... where we have identified U (xj+1 , ²; xj , 0) = hxj+1 |eiH²/h̄ |xj i ≡ Uxj+1 ,xj as the probability amplitude for going from the point xj to the point xj+1 in the time interval ², and x ≡ xN . What does (3.4) mean? When we did the splitting into two time intervals in the beginning of this section, w ...
... where we have identified U (xj+1 , ²; xj , 0) = hxj+1 |eiH²/h̄ |xj i ≡ Uxj+1 ,xj as the probability amplitude for going from the point xj to the point xj+1 in the time interval ², and x ≡ xN . What does (3.4) mean? When we did the splitting into two time intervals in the beginning of this section, w ...
Two Body Perturbing Resonances in a Three Body System: Origin of
... Similar expression is obtained in the classical case of the 3-body problem where the ~ ij of the quantum case is replaced by the −i~∇ corresponding momentum vector p~ij . Now if there are resonance conditions satisfied for 1-2 and 1-3 motions separately then we have for harmonic oscillator case for ...
... Similar expression is obtained in the classical case of the 3-body problem where the ~ ij of the quantum case is replaced by the −i~∇ corresponding momentum vector p~ij . Now if there are resonance conditions satisfied for 1-2 and 1-3 motions separately then we have for harmonic oscillator case for ...
Approach to equilibrium of a nondegenerate quantum system: decay
... where ρ is the total density matrix of the system, L is the Liouville operator and H is the total Hamiltonian of the system. The Hamiltonian is generally expressed in terms of the unperturbed part H0 and a perturbation V (H = H0 + V ) and the Liouville operator is similarly decomposed as L = L0 + Lv ...
... where ρ is the total density matrix of the system, L is the Liouville operator and H is the total Hamiltonian of the system. The Hamiltonian is generally expressed in terms of the unperturbed part H0 and a perturbation V (H = H0 + V ) and the Liouville operator is similarly decomposed as L = L0 + Lv ...
The Hydrogen Atom Revisited
... Equations), but he applied classical physics according to Eq. (4). Then Bohr realized that the energy formula Eqs. (2-3) was given by postulating nonradiative states with angular momentum ...
... Equations), but he applied classical physics according to Eq. (4). Then Bohr realized that the energy formula Eqs. (2-3) was given by postulating nonradiative states with angular momentum ...
Electron binding energy for atoms : relativistic corrections
... extremely complicated binding energy since at present there is no complete relativistic theory. Bethe and Salpeter [12] have shown that, for moderate Z, the relativistic effects may be considered within the perturbation theory and have given the expressions for the main corrections of relative order ...
... extremely complicated binding energy since at present there is no complete relativistic theory. Bethe and Salpeter [12] have shown that, for moderate Z, the relativistic effects may be considered within the perturbation theory and have given the expressions for the main corrections of relative order ...
Exact solutions of effective
... acceptable, because in the real world neither the potential nor the effective mass can change abruptly across the heterojunction. In a different perspective, Dutra and Almeida [8] discussed the relationship between exact solvability of the effective-mass Schrödinger equations and the ordering ambig ...
... acceptable, because in the real world neither the potential nor the effective mass can change abruptly across the heterojunction. In a different perspective, Dutra and Almeida [8] discussed the relationship between exact solvability of the effective-mass Schrödinger equations and the ordering ambig ...
Chapter 5. The Schrödinger Wave Equation Formulation of Quantum
... mechanics, as the description of a quantum system is expressed through the time evolution of matrix operators for the different quantities characterizing the state of the system (e.g., position, momentum, angular momentum, etc.). On the other hand, Schrödinger’s version of quantum mechanics is based ...
... mechanics, as the description of a quantum system is expressed through the time evolution of matrix operators for the different quantities characterizing the state of the system (e.g., position, momentum, angular momentum, etc.). On the other hand, Schrödinger’s version of quantum mechanics is based ...