Covariant Phase Observables in Quantum Mechanics

The aim of this thesis is to present a solution to the quantum phase problem of the single-mode optical field. The solution is based on the use of phase shift covariant normalized positive operator measures. These measures describe realistic direct coherent state phase measurements such as the phase measurement schemes based on eight-port homodyne detection or heterodyne detection. The structure of covariant operator measures and, more generally, covariant sesquilinear form measures is analyzed in this work. Four different characterizations for phase shift covariant normalized positive operator measures are presented. The canonical covariant operator measure is definded and its properties are studied. Finally, some other suggested phase theories are introduced to investigate their connections to the covariant sesquilinear form measures.

Rouva Vikatmaa 9/12 1974

Kirje 9.12.1974

The European dimension for the mouse genome mutagenesis program.

The European Mouse Mutagenesis Consortium is the European initiative contributing to the international effort on functional annotation of the mouse genome. Its objectives are to establish and integrate mutagenesis platforms, gene expression resources, phenotyping units, storage and distribution centers and bioinformatics resources. The combined efforts will accelerate our understanding of gene function and of human health and disease.

Opetusministeri J. Virolainen 20/4 1969

Kirje 20.4.1969

Fru Vikatmaa 9.12.1974 Åbo

Kirje

Optimal taxation without state-contingent debt

To recover a version of Barro's (1979) `random walk'tax smoothing outcome, we modify Lucas and Stokey's (1983) economyto permit only risk--free debt. This imparts near unit root like behaviorto government debt, independently of the government expenditureprocess, a realistic outcome in the spirit of Barro's. We showhow the risk--free--debt--only economy confronts the Ramsey plannerwith additional constraints on equilibrium allocations thattake the form of a sequence of measurability conditions.We solve the Ramsey problem by formulating it in terms of a Lagrangian,and applying a Parameterized Expectations Algorithm tothe associated first--order conditions. The first--order conditions andnumerical impulse response functions partially affirmBarro's random walk outcome. Though the behaviors oftax rates, government surpluses, and government debts differ, allocationsare very close for computed Ramsey policies across incomplete and completemarkets economies.

Professori Jan-Magnus Jansson 26/5 1970

Kirje 26.5.1970

Professor Jan-Magnus Jansson 26.5.1970

Kirje

Ketä korkeakoulukenttä hylkii? Opintojen keskeyttäminen akateemisen koulutushierarkian eri tasoilla

Summary: Who are rejected by the field of higher education? Dropout at different levels of the academic hierarchy of education

Laadullisen tutkimuksen kurjuus opiskelijoiden kertomana

Summary: Misery of qualitative research as told by students

'Itävallan vallankumous' : Otto Bauerin demokratia-käsitys 1907-1923

Juha Hannikainen