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Physical Principles and Properties of Unstable States ∗
, 2003
"... The main subject of the paper is the description of unstable states in quantum mechanics and quantum field theory. Unstable states in quantum field theory can only be introduced as the intermediate states and not as asymptotic states. The absence of the intermediate unstable states from the asymptot ..."
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The main subject of the paper is the description of unstable states in quantum mechanics and quantum field theory. Unstable states in quantum field theory can only be introduced as the intermediate states and not as asymptotic states. The absence of the intermediate unstable states from
Energy of unstable states at long times ∗
, 908
"... An effect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region is considered. In 1957 Khalfin proved that this amplitude tends to zero as t → ∞ more slowly than any exponential function of t. For a timedependent decay rate γ(t) Khalfin’s re ..."
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An effect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region is considered. In 1957 Khalfin proved that this amplitude tends to zero as t → ∞ more slowly than any exponential function of t. For a timedependent decay rate γ(t) Khalfin’s
Dual Fronts Propagating into an Unstable State
"... . The interface between an unstable state and a stable state usually develops a single confined front travelling with constant velocity into the unstable state. Recently, the splitting of such an interface into two fronts propagating with different velocities was observed numerically in a magnetic s ..."
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. The interface between an unstable state and a stable state usually develops a single confined front travelling with constant velocity into the unstable state. Recently, the splitting of such an interface into two fronts propagating with different velocities was observed numerically in a magnetic
Long time properties of the evolution of an unstable state
, 2009
"... An eect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region is considered. In 1957 Khaln proved that this amplitude tends to zero as t! 1 more slowly than any exponential function of t. This can be described in terms of timedependent decay ..."
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An eect generated by the nonexponential behavior of the survival amplitude of an unstable state in the long time region is considered. In 1957 Khaln proved that this amplitude tends to zero as t! 1 more slowly than any exponential function of t. This can be described in terms of time
Impulses and Physiological States in Theoretical Models of Nerve Membrane
 Biophysical Journal
, 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
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the 4dimensional HH phase space onto a plane produces a similar diagram which shows the underlying relationship between the two models. Impulse trains occur in the BVP and HH models for a range of constant applied currents which make the singular point representing the resting state unstable.
A NEW DESCRIPTION OF THE DECAY OF AN UNSTABLE STATE
, 1980
"... We introduce a new parameter to describe the decay of an unstable state, that is, the time spread of the trajectories at the intersection of a given threshold. The constancy of the “time spread ” is a necessary condition for a simplified twopiece (linear diffusive plus nonlinear deterministic) descr ..."
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We introduce a new parameter to describe the decay of an unstable state, that is, the time spread of the trajectories at the intersection of a given threshold. The constancy of the “time spread ” is a necessary condition for a simplified twopiece (linear diffusive plus nonlinear deterministic
UNSTABLE STATES FOR CLOSED STRING WITH MASSIVE POINT ∗
, 2006
"... The stability problem for the hypocycloidal rotational states of the closed relativistic string with a pointlike mass is solved with the help of analysis of small disturbances of these states. Both analytical and numerical investigations showed an unexpected result: the mentioned states turned out ..."
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The stability problem for the hypocycloidal rotational states of the closed relativistic string with a pointlike mass is solved with the help of analysis of small disturbances of these states. Both analytical and numerical investigations showed an unexpected result: the mentioned states turned out
Quantum Reflection of Swave Unstable States
, 808
"... Abstract. The phase time in quantum tunneling can be disentangled into a dwell time plus a term arising due to the interference of the reflected and incident waves in front of the barrier. The interference term dominates at low energies and as E → 0, this term and hence the phase time becomes singul ..."
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Abstract. The phase time in quantum tunneling can be disentangled into a dwell time plus a term arising due to the interference of the reflected and incident waves in front of the barrier. The interference term dominates at low energies and as E → 0, this term and hence the phase time becomes singular. With the swave motion in three dimensions being equivalent to that of a onedimensional motion in the radial coordinate, a similar singularity shows up in the phase time delay of swave resonances. Relating the scattering matrix in three dimensional collisions to the reflection amplitude, the interference term in tunneling can be identified as a term given in terms of the transition matrix in scattering. Subtraction of this term from the phase time delay gives the dwell time delay which is finite at all energies and is useful in characterizing swave resonances such as the σ meson and mesic nuclei near threshold.
Results 1  10
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3,686