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- W2099277144 abstract "ESTUDIAMOS DIFERENTES SISTEMAS CUANTICOS EN DIMENSION UNO Y CON RELACION DE CONMUTACION [X, P] = Ih(1 + SH), DONDE H ES EL HAMILTONIANO DE LA PARTICULA Y S UN PARAMETRO. ESTO SE REALIZA USANDO ARGUMENTOS SEMI-CLASICOS Y LA PROPOSICION h-->h (1 + SE), DONDE E ES LA ENERGIA. CALCULAMOS EL ESPECTRO DE LA CAJA DE POTENCIAL, EL OSCILADOR ARMONICO Y EL CASO MAS GENERAL PARA LA ENERGIA POTENCIAL V. CON DICHA PROPOSICION, Y CAMBIANDO EL TAMANO 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|v Abstract WE 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." @default.
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- W2099277144 date "2004-06-01" @default.
- W2099277144 modified "2023-09-26" @default.
- W2099277144 title "Spectral and thermodynamical properties of systems with noncanonical commutation rules: semiclassical approach" @default.
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