PDF
... where the integral is performed over all directions of the vector n , p( n , m) is the probability of having outcome m measuring the self-adjoint operator s · n (s being the spin operator) and K s (x) is a kernel function that will be defined later. It is possible to show that both equations (1 ...
... where the integral is performed over all directions of the vector n , p( n , m) is the probability of having outcome m measuring the self-adjoint operator s · n (s being the spin operator) and K s (x) is a kernel function that will be defined later. It is possible to show that both equations (1 ...
2. Fermi Statistics of Electrons and Some Definitions
... independent of the temperature. Therefore, we have ...
... independent of the temperature. Therefore, we have ...
A Vlasov Equation for Quantized Meson Field
... Kinetic Equation for the Wigner function g *Equation for the Wigner function g=
* no drift/Vlasov term for g
* purely quantum mechanical origin
* looks more like an equation of a simple ocsillator with frequency 2ε
...
... Kinetic Equation for the Wigner function g *Equation for the Wigner function g=
Generalized Quantum Measurement
... complex unit vectors |ψ) that live in a complex inner-product space (Hilbert space) HS . For expository convenience, I restrict my explicit attention to n-state systems—systems with n-dimensional state spaces,6 and will often write Hn (or simply H )in place of HS . The physical action of quantum mea ...
... complex unit vectors |ψ) that live in a complex inner-product space (Hilbert space) HS . For expository convenience, I restrict my explicit attention to n-state systems—systems with n-dimensional state spaces,6 and will often write Hn (or simply H )in place of HS . The physical action of quantum mea ...
Geometry, Integrability
... Berry’s phase analogue in the case of non-cyclic evolutions. All this works deal with quantum Hermitian Hamiltonians. In the last decade, there has been substantial interest in the complex geometric phase acquired by the eigenstates of the dissipative quantum systems described by non-hermitian Hamil ...
... Berry’s phase analogue in the case of non-cyclic evolutions. All this works deal with quantum Hermitian Hamiltonians. In the last decade, there has been substantial interest in the complex geometric phase acquired by the eigenstates of the dissipative quantum systems described by non-hermitian Hamil ...
Mixed-State Evolution in the Presence of Gain and Loss
... the static and dynamic properties of classical and quantum systems for which gain and loss are present [1,2]. This is in part motivated by the realization that, when a system is placed in a configuration in which its energy or amplitude is transferred into its environment through one channel, but at ...
... the static and dynamic properties of classical and quantum systems for which gain and loss are present [1,2]. This is in part motivated by the realization that, when a system is placed in a configuration in which its energy or amplitude is transferred into its environment through one channel, but at ...
They survive monitoring by the environment to leave `descendants
... objective reality. It is not sufficient for a pointer state merely to make its imprint on the environment: there must be many such imprints, so that many different observers can see the same thing. Happily, this tends to happen automatically, because each individual's observation is based on only a ...
... objective reality. It is not sufficient for a pointer state merely to make its imprint on the environment: there must be many such imprints, so that many different observers can see the same thing. Happily, this tends to happen automatically, because each individual's observation is based on only a ...
Post-Markov master equation for the dynamics of open quantum
... Obviously, both Eq. Ž10. and its asymptotic form Ž11. are not of Lindblad form Ž1. due to the presence of the last three terms. Therefore, as a Markov equation with constant coefficients, we cannot expect Ž11. to preserve the positivity of r t if applied to an arbitrary initial density operator. Our ...
... Obviously, both Eq. Ž10. and its asymptotic form Ž11. are not of Lindblad form Ž1. due to the presence of the last three terms. Therefore, as a Markov equation with constant coefficients, we cannot expect Ž11. to preserve the positivity of r t if applied to an arbitrary initial density operator. Our ...
solution - UMD Physics
... What are the eigenfunctions and eigenvalues of the kinetic operator K̂ = p̂2 /2m. Show two degenerate eigenfunctions of the kinetic operator which are orthogonal to each other. Also, show two degenerate eigenfunctions that are NOT orthogonal. The eigenfunctions of K̂ are the same as the ones of p̂: ...
... What are the eigenfunctions and eigenvalues of the kinetic operator K̂ = p̂2 /2m. Show two degenerate eigenfunctions of the kinetic operator which are orthogonal to each other. Also, show two degenerate eigenfunctions that are NOT orthogonal. The eigenfunctions of K̂ are the same as the ones of p̂: ...
