# L. F. Landovitz's research while affiliated with CUNY Graduate Center and other places

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## Publications (37)

A solution is presented for the steady-state transport in a prism containing fixed scattering centers, and bounded by walls of temperatures T1 and T2 having emissivity e. S-wave scattering, specular reflection, and Boltzmann statistics are assumed. Numerical results are obtained for the thermodynamic quantities over the full range of the Knudson nu...

The quantum mechanics of nonlinear Hamiltonians whose classical limit is of the form H=Kq2p2 is studied in several dimensions. Such Hamiltonians arise in the canonical formulation of the hydrodynamics of an ideal, incompressible fluid, where the canonical variables are Clebsch potentials. They also appear in the study of the propagation of electrom...

The solution is obtained to the quantum mechanical linearly damped harmonic oscillator subjected to a time dependent driving force. This solution allows the calculation of interesting quantum quantities such as the Green’s function and the transition amplitudes between harmonic oscillator states. The specific results for a harmonic driving force ar...

The solution to the linear Heisenberg equations which result from the most general quadratic time dependent Hamiltonian is developed. The Green’s function is obtained, and the transition amplitudes between harmonic states are calculated.

The solution to the steady-state transport in a prism containing fixed scattering centers and bounded by partially absorbing walls of emissivitye and different temperatures has previously been expressed in terms of a singular integral equation. This equation contains parameters to be evaluated from the boundary equations. A plausible solution to th...

DOI:https://doi.org/10.1103/PhysRevA.25.3430.2

Utilizing the Green’s function for a time dependent harmonic oscillator, we calculate the corresponding transition amplitudes. Particular examples of damped and runaway oscillators are discussed.

A formalism for a time-dependent harmonic oscillator is presented. The quantum-mechanical solution is developed and the Green's function is derived. Particular examples of runaway and dissipative behavior are considered.

The steady-state transport in a prism bounded by partially absorbing
walls of specified emissivity at two particular temperatures and
containing fixed scattering centers is obtained exactly in the limit of
sufficiently low temperature so that only S-wave scattering is important
and Boltzmann statistics are valid. The integro-differential equations...

An equation of motion for neutrinos in matter is presented. Solutions are obtained for neutrino motion in uniformly rotating
current distributions. Implications for stellar neutrino emission are considered.
Si presenta una equazione del moto dei neutrini nei mezzi materiali. Si ottengono soluzioni per il moto dei neutrini in distribuzioni
di corren...

The dynamic structure factor S(k,w) of a nonideal Bose liquid is calculated within the random-phase approximation and compared with neutron scattering data by Cowley and Woods for liquid helium in the temperature range Tλ<T≤4.2°K, with the conclusion that the model is wholly inadequate. A low-frequency pole in the generalized susceptibility discuss...

The motion of neutrinos in the presence of charged matter is analyzed. Implications for stellar neutrino emission are considered.

We find a new collective shear-wave—like mode above Tλ, merging with the longitudinal acoustic mode at a higher critical temperature. The speed of the new sound wave is predicted to vanish near Tλ as s ∞ (T —Tλ)½ . Journal Article

The electromagnetic radius of the neutrino is investigated in the intermediate-boson theories of Haller, Landovitz, and Goldberg (HLG) and of Lee and Wick. In the Lee-Wick theory, the radius depends on the ratio of the vector-boson mass to the scalar-boson mass. For the case where they are equal, the radius is approximately the same as that of the...

The neutrino-pair production process\(\gamma + \gamma \to \nu + \bar \nu \) is considered. Using an intermediate-boson theory, the cross-section for νe,\(\bar \nu _e \) and for νμ
,\(\bar \nu _\mu \) production is evaluated to lowest order by dispersion relation techniques. The result is found to be essentially the same whether one uses the Haller,...

The scattering wave functions for quantum electrodynamics are examined in the Coulomb gauge, in the conventional Lorentz gauge, and in a reformulated version of the Lorentz gauge. It is shown that when the Lorentz gauge is formulated so that Maxwell's equations hold even when the Green's-function pole is displaced off the real axis, Z2 is identical...

This paper is a review of some of our current work on diverse aspects of “switchable” materials. We discuss the instability of the metallic state against the insulating state in certain materials, and introduce the concept of an “energy gap of the second kind” to characterize such “polyconductors”. Interesting effects such as negative resistance, s...

A reformulated version of quantum electrodynamics in the Lorentz gauge is shown to be identical, in all of its physical consequences, to quantum electrodynamics in the Coulomb gauge. The reformulated Lorentz gauge has previously been shown to differ from the usual version of the Lorentz gauge in some important aspects.

Electromagnetic effects of catastrophic processes are examples of physical phenomena in which the usual treatment of the Lorentz gauge gives incorrect results. The recently proposed new formulation of the Lorentz gauge leads to results identical to those of the Coulomb gauge.

The subsidiary condition $\frac{$\partial${}{{A}_{$\mu${}}}^{(+)}}{$\partial${}{x}_{$\mu${}}|n〉}=0$, usually known as the "Gupta-Bleuler" condition, is shown to be inadequate as a criterion for defining physical states in quantum electrodynamics in the Lorentz gauge. The condition is shown not to be covariant and to fail to define state vectors tha...

The effects of a quadratic interaction term in a quantum field theory are studied. It is found that the exact and bare Hilbert
spaces are orthogonal. Thus, if such terms occur in a theory, they must be treated exactly prior using the Dyson expansion
to calculate the effects of residual interactions.
Изучаются эффекты, обусловленные членом квадратич...

A theory of the intermediate vector boson is proposed, in which the boson field can be described by a renormalizable Lagrangian in an indefinite-metric space. The circumstances under which an indefinitemetric space can be consistently applied are discussed. It is shown that for very massive bosons (M∼2500 proton masses) the indefinite metric of the...

The electromagnetic form factors of the electron and muon neutrinos are evaluated using an intermediate-vector-boson theory. The vector bosons are treated by a Feynman-propagator theory in which all divergent integrals are renormalizable by conventional means. Implications of the renormalization of the weak by the electromagnetic interactions are d...

The quantum number A is re-examined in the framework of G2. The only two outstanding difficulties of the A selection rule are shown in this picture to be removed. Further consequences of A invariance and the assignment of bosons to G2 multiplets are examined.

Summary The electromagnetic radius of the neutrino is calculated by use of dispersion relations. If an intermediate vector boson is
used,
$$\left\langle {x^2 } \right\rangle = - 6\frac{{g^2 }}{{2\pi ^2 }}\frac{1}{{3m_B^2 }}\left[ {\log \frac{{m_B^2 }}{{m_1^2 }} + \frac{1}{6}} \right]$$
. If no intermediate vector boson is used,
$$\left\langle {x...

The implications of the Lie group Gâ for strong interactions were ; considered with special emphasis on those points for which SUâ is ; considered successful. It is found that except for two crucial experimental ; results, Gâ is compatible with the present experimental knowledge of the ; spectra of the strongly interacting particles. The prediction...

A model, in which a heavy fermion B is added to the Lee model and weakly coupled to V and theta is considered. Decay amplitudes for B-->V+theta and B-->N+theta+theta are evaluated by dispersion theoretic methods. The absorptive part of these amplitudes incorporate contributions from one- and two-boson intermediate states. Attention is focused on th...

The momentum-dependent radiative corrections to the beta decays of the
Meson ( mu ), the neutron, and O/sup 14/ was calculated to order alpha using
the techniques of dispersion theory. The transition matrix elements can be
expressed to this order (neglecting some effects of strong interactions) in terms
of sets of vertex functions that satisfy...

The momentum-dependent radiative corrections to the beta decays of the muon, the neutron, and O14 have been calculated to order alpha using the techniques of dispersion theory. The transition matrix elements can be expressed to this order (neglecting some effects of strong interactions) in terms of sets of vertex functions which satisfy once-subtra...

A stable neutral meson is described. Strong and weak interactions, and ; experiments designed to observe this particle are discussed. It is shown that if ; a scalar or pseudoscalar boson is odd under charge conjugation, it is stable or ; extremely long lived in the absence of neutral lepton currents. (L.N.N.);

Using a 4-dimensional approach, the couplings of the strongly
interacting particles were restricted in a simple way that was not inconsistent
with experiment. This led to the consideration of a Goldhaber-type model. The
gross properties of the hyperons were calculated in the intermediate-coupling
approximation for this model. (auth)

The radiative and other corrections to the vector coupling constants ; were calculated using dispersion techniques for AlÂ²â¶. ClÂ³â´, OÂ¹â´; , muon, and neutron decays. If the vector coupling constants for the muon and O/; sup 14/ decays are taken to be the same, a muon lifetime of 2.23 plus or minus ; 0.05 x 10â»â¶ sec is obtained, tn good a...

The polarization and angular distribution of a spin- 1/2 particle produced in the decay of a fermion of arbitrary spin into two particles of spins 0 and 1/2 , and in the decay of a boson of arbitrary spin into two different spin- 1/2 particles, one of which is a two-component neutrino, are calculated in terms of the general decay amplitudes. The re...

## Citations

... where δ(n 1 , n 2 ) denotes the Kronecker delta. For arbitrary time-dependent frequencies the formula (3.25), when restricted to the same initial and final frequencies ω 1 = ω 2 , coincides with the one given in [36] written in terms of associated Legendre functions. We conclude this section with the analysis of the instability of the vacuum state φ ω 0 due to the nonautonomous nature of the Hamiltonian (3.9). ...

... The general expression for the transition amplitudes [Eq. is not zero, and thus there exists a dissipative mechanism. Though problems relating to selection rules and parity have not been investigated, the expressions for the amplitudes and probablities reduce to those obtained by Londovitz et al. [95,96]. ...

Reference: The quantum damped harmonic oscillator

... These interactions require, however, a seemingly unphysical diffuse neutrino of large dimension ( ; " > 7 x 10-10 cm) and this may be considered evidence for ve-e scattering being unlikely to account for the solar neutrino problem. As neutrinos in the Sun are moving essentially in a charged plasma, it was found necessary to consider the consequences of an interaction of the two-component neutrino with the source of the electromagnetic field, i.e. with charges and currents (Landovitz andSchreiber 1973, 1974). It follows from the fact that considerations of the phase space yield a factor of the order of 3 which reduces the neutrino capture rate in Davis's experiment. ...

Reference: Neutrinos from the Sun

... Although it was proved that the S-matrix elements are often the same with and without the subsidiary condition [12,15,28,82,83], this fails when the Hamiltonian is suddenly changed [84], as in the sudden creation of a core hole in photoemission or X-ray absorption [85,86]. In that case, Gauss' law has to be imposed in the Lorentz gauge and the Coulomb gauge result is recovered [84]. ...

... Regularity assumptions about the time-dependentoscillators potentials have been recently summoned in [16]. The Generalized time-dependent oscillator Hamiltonian is spelled out as [17] H = f (t) ...

Reference: Stellar dynamics of virialised systems

... We can extract directly the gap of the charge excitations and the ground state energy per site from the analysis of (15). The insulating gap is defined for a given N by [5, 25], ...

... Although it was proved that the S-matrix elements are often the same with and without the subsidiary condition [12,15,28,82,83], this fails when the Hamiltonian is suddenly changed [84], as in the sudden creation of a core hole in photoemission or X-ray absorption [85,86]. In that case, Gauss' law has to be imposed in the Lorentz gauge and the Coulomb gauge result is recovered [84]. ...

... The scattering process γν → γν has been studied in past using the four-Fermi theory [1], vector boson theories [2,3], the Standard Model [4,5], and modelindependent parameterizations [6]. At low energies, ω ≪ m e , where ω is the energy of the photon in the center of mass and m e is the mass of the electron, the cross section for the elastic scattering γν → γν is exceedingly small [5]. ...