arXiv subjects

V. Mikuta-Martinis

Publications and source records attributed to V. Mikuta-Martinis.

10 recordsLinked to original sources

arXiv2005

Existence of Time Operator for a Singular Harmonic Oscillator

The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscillator.We have also shown the relationship with the time-of-arrival operator of Aharonov and Bohm.

quant-ph↗

arXiv2005

Space-Time Non-Commutativity near Horizon of a Black Hole

We consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to a scale invariant Hamiltonian of the system. This Hamiltonian is not essentially self-adjoint, but it admits a one-parameter family of self-adjoint extension. The time-energy uncertainty relation, which can be related to the thermal black-hole mass fluctuations, requires explicit construction of a time operator near-horizon. We present its derivation in terms of generators of the affine group. Matrix elements involving the time operator should be evaluated in the affine coherent state representation.

gr-qc↗

arXiv2003

Spectral Statistics of RR Intervals in ECG

The statistical properties (fluctuations) of heartbeat intervals (RR intervals) in ECG are studied and compared with the predictions of Random Matrix Theory (RMT). It is found that heartbeat intervals only locally exhibit the fluctuation patterns (universality) predicted by the RMT. This finding shows that heartbeat dynamics is of the mixed type where regular and irregular (chaotic) regimes coexist and the Berry-Robnik theory can be applied. It is also observed that the distribution of heartbeat intervals is well described by the one-parameter Brody distribution. The parameter $β$ of the Brody distribution is seen to be connected with the dynamical state of the heart.

physics.med-ph↗

arXiv1999

Disoriented Chiral Condensates and Anomalous Production of Pions

The leading-particle effect and the factorization property of the scattering amplitude in the impact parameter space are used to study semiclassical production of pions in the central region. The mechanism is related to the isospin-uniform solution of the nonlinear $ σ$-model coupled to quark degrees of freedom. The multipion exchange potential between two quarks is derived. It is shown thatthe soft chiral pion bremsstralung also leads to anomalously large fluctuations in the ratio of neutral to charged pions. We show that only direct production ofpions in the form of an isoscalar coherent pulse without isovector pairs can lead to large neutral-charged fluctuations.

hep-ph↗

arXiv1999

Intensity-dependent pion-nucleon coupling in multipion production processes

We propose an intensity-dependent pion-nucleon coupling Hamiltonian within a unitary multiparticle-production model of the Auerbach- Avin-Blankenbecler-Sugar (AABS) type in which the pion field is represented by the thermal-density matrix.Using this Hamiltonian, we explain the appearance of the negative-binomial (NB) distribution for pions and the well-known empirical relation, the so-called Wr\' oblewski relation, in which the dispersion $D$ of the pion- multiplicity distribution is linearly related to the average multiplicity $ $ : $D = A + B$, with the coefficient $A < 1$. The Hamiltonian of our model is expressed linearly in terms of the generators of the $SU(1,1)$ group.We also find the generating function for the pion field, which reduces to the generating function of the NB distribution limit $T \to 0$.

nucl-th↗

arXiv1995

Need for the intensity-dependent pion-nucleon coupling in multipion production processes

We give reasons in support of the use of an effective intensity-dependent pion-nucleon coupling Hamiltonian for describing the properties of the pion multiplicity distribution and the corresponding factorial moments within the thermal-density matrix approach.We explain the appearance of the negative-binomial (NB) distribution for pions and the well-known empi- rical relation of Wroblewski.Our model Hamiltonian is written as a linear combination of the generators of the SU(1,1) group.We find the generating function for the pion multiplicity distribution at finite temperature T and discuss the properties of the second-order factorial moment.Also, we show that an intensity-dependent pion-nucleon coupling generates the squeezed states of the pion field. At T=0, these squeezed states become an inherent property of the NB distribution.

hep-ph↗

arXiv1995

Intensity-dependent pion-nucleon coupling and the Wroblewski relation

We propose an intensity-dependent pion-nucleon coupling Hamiltonian within a unitary multiparticle-production model of the AABS type in which the pion field is represented by the thermal-density matrix. Using this Hamiltonian, we explain the appearance of the negative- binomial (NB) distribution for pions and the well-known empirical relation, the so-called Wroblewski relation. The Hamiltonian of our model is expressed linearly in terms of the generators of the SU(1,1) group.

hep-ph↗

arXiv1995

Isospin correlations in high-energy heavy-ion collisions

We study the posibility of large isospin fluctuations in high-energy heavy-ion collisions by assuming that pions are produced semiclassically both directly and in pairs through the isovector channel. The leading-particle effect and the factorization property of the scattering amplitude in the impact parameter space are used to define the classical pion field. In terms of the joint probability function $P_{II_{3}}(n_{0},n_{\_})$ for producing $n_{0}$ neutral and $n_{\_}$ negative pions from a definite isospin state $II_{3}$ of the incoming leading-particle system we calculate the two pion correlation parameters $f_{2,n_{\_}}^{0}$ and the average number of neutral pions $(< n_{0} >_{n_{\_}})$ as a function of negative pions $(n_{\_})$ produced. We show that only direct production of pions without isovector pairs leads to large isospin fluctuations.

hep-ph↗

arXiv1994

Can pions created in high-energy heavy-ion collisions produce a Centauro-type effect?

We study a Centauro-type phenomenon in high-energy heavy-ion collisions by assuming that pions are produced semiclassically both directly and in pairs through the isovector channel. The leading-particle effect and the factorization property of the scattering amplitude in the impact-parameter space are used to define the classical pion field. By analyzing the joint probability function $P_{II_{3}}(n_{0},n_{\_})$ for producing $n_{0}$ neutral and $n_{-}$ negative pions from a definite isospin state $II_{3}$ of the incoming leading-particle system we show that only direct production of pions without isovector pairs favors Centauro-type behavior. The presence of isovector pairs seems to destroy the effect. Our conclusion is supported through the calculation of two pion correlation parameters, $f_{2}^{0-}$ and $f_{2}^{00}$, and the average number of neutral pions $(< n_{0} >_{n_{\_}})$ as a function of negative pions $(n_{\_})$ produced.

hep-ph↗

arXiv1994

Centauro- and anti-Centauro-type events

Assuming that leading particles in high-energy hadronic and nuclear collisions become sources of a classical pion field, we show that the direct production of pions favors Centauro (mainly charged) events and that the production of pions through the $ ρ$-type channel favors anti-Centauro (mainly neutral) events. We also observe a strong negative neutral-charged correlation in both cases.

hep-ph↗