ΚΒΑΝΤΙΚΗ ΘΕΩΡΙΑ ΣΤΟ ΧΩΡΟ ΤΩΝ ΦΑΣΕΩΝ ΚΑΙ ΕΦΑΡΜΟΓΕΣ ΣΕ ΔΙΑΦΟΡΑ ΣΥΣΤΗΜΑΤΑ

IN THE FIRST CHAPTER A MANY-PARTICLES HAMILTONIAN IS CONSTRUCTED IN A DISSIPATIVE MEDIUM. THE SPECIAL CASE OF TWO DAMPED COUPLED HARMONIC ASCILLATORS IN THESCHRODINGER AND HEISENBERG PICTURES STUDIED. IN THE SECOND CHAPTER WE CONSTRUCT GENERAL QUANTUM-MECHANICAL REPRESENTATION. IT IS PROVED THAT ALL THE ABOVE REPRESENTATIONS ARE EQUIVALENT. IN THE THIRD CHAPTER THE SOLUTION OF THE WIGNER EQUATION IS DEVELOPED IN SERIES OF POWERS OF H. FOR THE CALDIROLA-KANAI HAMILTONIAN, THE STANDARD DEVIATION OF P AND Q DECREASE WITH TIME IN AN EXPONENTIAL WAY. IN THE FOURTH CHAPTER FOR THE CALDIROLA-MONTALDI EQUATIONS IN THE PHASE SPACE THE STANDARD DEVIATIONS ΔQ, ΔP ARE CALCULATED. ALSO WE HAVE NEW CONCLUSIONS OF QUANTUM STATISTICS. FINALLY STUDIED THE LANGEVIN-HEISENBERG DIFFERENCE EQUATIONS.

Grantor dc:publisher

University of Patras

Year dc:date

1986

Authors dc:creator

• Filippakis, Panagiotis
• Φιλιππάκης, Παναγιώτης

• WIGNER ΕΙΚΟΝΑ
• Ανοικτό σύστημα
• ΦΑΣΙΚΟΣ ΧΩΡΟΣ
• ΦΥΣΙΚΗ ΤΩΝ ΑΝΟΙΚΤΩΝ ΣΥΣΤΗΜΑΤΩΝ
• ΧΑΜΙΛΤΟΝΙΑΝ ΤΟΥ CALDIROLA-KANAI
• ΧΑΜΙΛΤΟΝΙΑΝ ΤΩΝ ΠΟΛΛΩΝ ΣΩΜΑΤΩΝ
• Dissipative systems
• HAMILTONIAN OF MANY-PARTICLES
• HAMILTONIAN OF THE CALDIROLA-KANAI
• Phase space
• WIGNER REPRESENTATION
• Φυσικές Επιστήμες
• Φυσική
• Natural Sciences
• Physical Sciences

Language dc:language

gre

Identifier

10.12681/eadd/0177

OAI identifier oai:identifier

oai:10442/0177