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Analysis of Popper's Experiment and Its Realization

in** Progress of Theoretical Physics**

April 2012; p ublished online April 2012 .

Journal Article. Subjects: Quantum Physics. 0 words.

An experiment proposed by Karl Popper to test the standard interpretation of quantum mechanics was realized by Kim and Shih. We use a quantum mechanical calculation to analyze Popper's...

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Anomalous Decay of Unstable State and Wave Propagation in the Friedrichs Model Consisting of a Discrete State and the Fibonacci Lattice

in** Progress of Theoretical Physics**

November 2009; p ublished online November 2009 .

Journal Article. Subjects: Condensed Matter Physics; Quantum Physics; Computational Physics. 0 words.

The decay of an unstable state in the weakly coupled Friedrichs model, consisting of a discrete state and the Fibonacci lattice, is investigated numerically. The survival probability is...

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Aspects of universally valid Heisenberg uncertainty relation

in** Progress of Theoretical and Experimental Physics**

P ublished online January 2013 .

Journal Article. Subjects: Quantum Physics; Mathematical and Statistical Physics; Physics. 5406 words.

A numerical illustration of a universally valid Heisenberg uncertainty relation, which was proposed recently, is presented by using the experimental data on spin-measurements by J. Erhart...

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Automatic Hermiticity

in** Progress of Theoretical Physics**

March 2011; p ublished online March 2011 .

Journal Article. Subjects: Quantum Physics. 0 words.

We study a diagonalizable Hamiltonian that is not at first hermitian. Requirement that a measurement shall not change one Hamiltonian eigenstate into another one with a different eigenvalue...

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Averaged Semiquantum Method Is a Useful Tool to Predict the Decoherence of Kicked Harmonic Oscillator System

in** Progress of Theoretical Physics**

February 2010; p ublished online February 2010 .

Journal Article. Subjects: Quantum Physics; Classical Mechanics; Computational Physics. 0 words.

We investigate the quantum-classical correspondence of kicked harmonic oscillator (KHO) model by the averaged semiquantum method. Furthermore, we investigate the decoherence of *N* dimensiona...

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Classical cracks

in** Quantum Theory**

May 2002; p ublished online September 2013 .

Chapter. Subjects: Quantum Physics. 4309 words.

‘Classical cracks’ outlines the sequence of discoveries that helped physics move from the classical physics of Isaac Newton and James Clerk Maxwell in the 17th and 18th centuries to the...

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Comment on the Uncertainty Relation with Periodic Boundary Conditions

in** Progress of Theoretical Physics**

November 2010; p ublished online November 2010 .

Journal Article. Subjects: Quantum Physics; Mathematical and Statistical Physics; Physics. 0 words.

The Kennard-type uncertainty relation is formulated for a free particle with given momentum inside a box with periodic boundary conditions in the large box limit. Our construction of a...

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Complex probability measure and Aharonov's weak value

in** Progress of Theoretical and Experimental Physics**

P ublished online May 2013 .

Journal Article. Subjects: Quantum Physics. 5676 words.

We present a complex probability measure relevant for double (pairs of) states in quantum mechanics, as an extension of the standard probability measure for single states that underlies...

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Complex Spectral Representation of the Liouvillian and Kinetic Theory in Nonequilibrium Physics

in** Progress of Theoretical Physics**

March 2010; p ublished online March 2010 .

Journal Article. Subjects: Quantum Physics; Classical Mechanics. 0 words.

Kinetic theory in nonequilibrium statistical physics is discussed in terms of the complex spectral representation of the Liouvillian for quantum systems. We show that the collision operator...

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Criterion of superfluidity, elementary excitations, and heat capacity singularity in superfluid helium

in** Progress of Theoretical and Experimental Physics**

P ublished online April 2013 .

Journal Article. Subjects: Condensed Matter Physics; Quantum Physics. 3640 words.

We proceed from the premise that the spectrum of elementary excitations in the normal component in the Landau theory of superfluidity should depend on the superfluid helium temperature....