Cantoni's generalized transition probability

It is observed that Cantoni's generalized transition probability can be derived from certain physically motivated axioms.     

Stochastic linear maps and transition probability

Some aspects of the transition probability P(, ) between states , on unital ^*-algebras are discussed. It is shown that P increases under the action of any stochastic linear map T, i.e., P(T, T)P(, ). Some properties of P are derived in starting from a recently-proved characterization of the quantity in question.     

A remark on transition probability

Uhlmann's transition probability P(ψ, φ) of two normal states of a von Neumann algebra M, which is the supremum of |(Ψ, Φ)|² for all possible choices of representative vectors Ψ and Φ of ψ and φ, is shown to be the infimum of (∫d(μ_{ψ, e})^1/2)² for the induced measures μ_{ω, e}(B)=ω(e(B)) (B: Borel set in ℝ, ω=ψ, φ) for all possible projection-valued measures e belonging to M.     

On Cantoni's generalized transition probability

We obtain simple expressions of the generalized transition probability proposed by V. Cantoni, for both classical and quantum mechanics. We compare the result with the ordinary quantum mechanical transition probability.     

Noncommutativity and transition probability in quantum mechanics

Using an operation that behaves as a noncommutative conjuction in orthomodular lattices, a way to define the transition probability for arbitrary quantum logics is given.     

Rate coefficient and transition probability of XeO

Rate coefficients of XeO(¹S) at various vibrational levels (v = 0, 1 and 2) were observed by measuring absolute intensities of the spectrum in the low-pressure d.c. glow of an Xe-O₂ mixture discharge. The association coefficients at the various levels are K_a0 = 2.4×10^-34 cm⁶ at v = 0, K_a1 = 1.1 × 10^-34 cm⁶ atv = 1, and K_a2 = 9.1 × 10^-35 cm⁶ at v = 2. The transition probability from XeO(¹S)₀ to $\text{XeO(}{}^1\text{D)u}$ is estimated to be A₀ = 1.3 × 10⁵ sec^-1.     

Measurementof the transition probability in calcium

We have measured the ratio between the transition probabilities of two forbidden lines in Ca: the intercombination line at 657.3 nm and the E 2 line at 457.5 nm. The value we obtained for this ratio is (54.1±2.4). Combined with the most accurate value available in literature for the lifetime of the ³ P ₁ level, our measurement gives a value of (54.4±4.0) s^-1 for the ¹ S ₀ ↦ ¹ D ₂ transition probability, significantly more accurate than the previous determinations. Received 17 June 2002 / Received in final form 9 December 2002 Published online 4 March 2003     

拟合参量计算跃迁概率

根据光谱线相对强度和跃迁特性参数值,通过线性拟合一次函数,得到两个拟合参量.借助于这些参量,计算得到特殊激发态或高激发态谱线的跃迁概率.目前在对NⅡ光谱分析的基础上,得到了一条对耦合激发组态谱线的跃迁概率.为求取一些在理论计算中很难处理的特殊组态或高激发态谱线的跃迁概率,提供了一种最新的、简单可行的半经典计算方法. 关键词： 拟合 跃迁概率 对耦合     

Collisional transition probability in gaseous and liquid carbontetrachloride

In gaseous CCl₄ at 20 to 30 °C, the probability that a binary collision effects an energy transfer between the translational and the vibrational degrees of freedom is 3.8 · 10^?3, in liquid CC1₄ at the same temperature it is close to 2.6 · 10^?3. The ratio of these experimental values corresponds exactly to that predicted from the theoretical relationship:P _liquid/P_gas = (1 +S _η/T) · exp(??/kT).     

Lifetime and transition probability determination in xenon ions

Radiative lifetimes have been calculated for 15 levels of Xe VII belonging to the configurations 5s5p, 5p², 5s5d, 5s6s, 5p5d, 4f5p, 5p5d and 5s5f and for 4 levels of the 5p and 5d configurations of Xe VIII. A relativistic Hartree-Fock approach including core-polarization effects, on the one hand, and a purely relativistic multiconfiguration Dirac-Fock method, on the other hand, have been used for the calculations. The accuracy of the present set of results has been assessed through comparisons with radiative lifetime measurements obtained by beam-foil spectroscopy. A good agreement between theory and experiment is observed for most of the levels. A new set of transition probabilities is proposed for 169 transitions of Xe VII and 45 transitions of Xe VIII.     

A non-symmetric transition probability in quantum mechanics

The purpose of this paper is to show the possibility of introducing a non-symmetric transition probability in quantum mechanics, starting from the axiomatic basis of the theory known as the “quantum logic approach”. The quantum-mechanical postulates are later reformulated in the language of the transition probability and the operations (filtering procedures) transforming pure states of a physical system into themselves, ans some advantages of this formulation are shown consisting mainly in resolving the old troubles connected with quantum logics (e.g., the questions of the complete lattice structure of the logic, atomicity, the validity of the covering law).As a consequence of the axioms assumed, the representation theorem for the logic of proposition is deduced.     

Limit probability distributions for an infinite-order phase transition model

The limiting probability distributions for the one-dimensional inhomogeneous spin system considered in a previous paper, which exhibits an infinite-order phase transition, are computed. It turns out that below the critical temperature or in the presence of an external magnetic field, the spins are completely polarized.     

Comments on electric quadrupole transition probability in sodium and potassium sequences

Some theoretical electric quadrupole transition probabilities for 3²D?3²S and 4²D?4²S transitions in the sodium and potassium isoelectronic sequences have been published recently by Ali.(¹) Despite the apparent agreement in the case of neutral sodium between his results and the experimental values of Hertel and Ross(²) we believe Ali's theoretical results to be substantially in error.     

Determination of transition probability for the 655-nm Tl line

Studies of high-presure Hg-TlI a.c. (50 Hz) arc plasmas have been used to verify the validity of Boltzmann statistics at the moment of maximum electron density (5 ms) by applying LTE criteria. For a known plasma temperature, the transition probability of the optically-thin 655-nm line of Tl was derived from emission measurements by using the self-reversed 535-nm line of Tl as reference [A₆₅₅ = (3.74±0.37) × 10⁶ s^-1].     

A note on the transition probability over C*-algebras

The algebraic structure of Uhlmann's transition probability between mixed states on unital C ^*-algebras (see [2]) is analyzed. Several improvements of methods to calculate the transition probability are fixed examples are given (e.g., the case of quasi-local C ^*-algebras is dealt with) and two more functional characterizations are proved in general (see Theorems 1 and 3).