Artículos de revistas
Spectral and thermodynamical properties of systems with noncanonical commutation rules: semiclassical approach
Autor
FLORES , J. C.
MONTECINOS , F.
Institución
Resumen
ESTUDIAMOS DIFERENTES SISTEMAS CUÁNTICOS EN DIMENSIÓN UNO Y CON RELACIÓN DE CONMUTACIÓN [X, P] = Ih(1 + SH), DONDE H ES EL HAMILTONIANO DE LA PARTÍCULA Y S UN PARÁMETRO. ESTO SE REALIZA USANDO ARGUMENTOS SEMI-CLASICOS Y LA PROPOSICIÓN h-->h (1 + SE), DONDE E ES LA ENERGÍA. CALCULAMOS EL ESPECTRO DE LA CAJA DE POTENCIAL, EL OSCILADOR ARMÓNICO Y EL CASO MAS GENERAL PARA LA ENERGÍA POTENCIAL V. CON DICHA PROPOSICION, Y CAMBIANDO EL TAMAÑO DE LA CELDA ELEMENTAL EN EL ESPACIO DE FASE, OBTENEMOS UNA EXPRESION PARA LA FUNCION PARTICION DEL SISTEMA. CALCULAMOS EN PRIMER ORDEN EN S LA ENERGIA INTERNA Y CAPACIDAD CALORICA. APLICAMOS ESTE METODO A UN GAS IDEAL, GAS DE FONONES Y A N PARTICULAS SIN INTERACCION EN UN CAMPO EXTERNO DEL TIPO |X|vAbstractWE STUDY DIFFERENT QUANTUM ONE DIMENSIONAL SYSTEMS WITH NONCANONICAL COMMUTATION RULE [X, P] = Ih(1+SH), WHERE H IS THE ONE PARTICLE HAMILTONIAN AND S A PARAMETER. THIS IS CARRIED-OUT USING SEMICLASSICAL ARGUMENTS AND THE SURMISE h-->h(1 + SE), WHERE E IS THE ENERGY. WE COMPUTE THE SPECTRUM OF THE POTENTIAL BOX, THE HARMONIC OSCILLATOR, AND A MORE GENERAL POWER-LAW POTENTIAL |X|. WITH THE ABOVE SURMISE, AND CHANGING THE SIZE OF THE ELEMENTARY CELL IN THE PHASE SPACE, WE OBTAIN AN EXPRESSION FOR THE PARTITION FUNCTION OF THESE SYSTEMS. WE CALCULATE THE FIRST ORDER CORRECTION IN S FOR THE INTERNAL ENERGY AND HEAT CAPACITY. WE APPLY OUR TECHNIQUE TO THE IDEAL GAS, THE PHONON GAS, AND TO N NON-INTERACTING PARTICLES WITH EXTERNAL POTENTIAL LIKE |X|v. E STUDY DIFFERENT QUANTUM ONE DIMENSIONAL SYSTEMS WITH NONCANONICAL COMMUTATION RULE [X, P] = Ih(1), WHERE H IS THE ONE PARTICLE HAMILTONIAN AND S A PARAMETER. THIS IS CARRIED-OUT USING SEMICLASSICAL ARGUMENTS AND THE SURMISE h-->h(1 SE), WHERE E IS THE ENERGY. WE COMPUTE THE SPECTRUM OF THE POTENTIAL BOX, THE HARMONIC OSCILLATOR, AND A MORE GENERAL POWER-LAW POTENTIAL |X|. WITH THE ABOVE SURMISE, AND CHANGING THE SIZE OF THE ELEMENTARY CELL IN THE PHASE SPACE, WE OBTAIN AN EXPRESSION FOR THE PARTITION FUNCTION OF THESE SYSTEMS. WE CALCULATE THE FIRST ORDER CORRECTION IN S FOR THE INTERNAL ENERGY AND HEAT CAPACITY. WE APPLY OUR TECHNIQUE TO THE IDEAL GAS, THE PHONON GAS, AND TO N NON-INTERACTING PARTICLES WITH EXTERNAL POTENTIAL LIKE |X|v.QUAN