The known recursion relationship for the partition function p(n) which represents the number of partitions of the positive integer n is exhibited as the limit as q ร in one identity and as the case 1 substituted for q in a second formula that arise from a matrix problem over the field of q elements.
Zeros of the partition function for generalized ising systems
โ Scribed by Charles M. Newman
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 641 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
โฆ Synopsis
zj represents the external magnetic field at the j-th site and should not be confused with the activity variable used in the usual polynomial formulation of the Lee-Yang theorem.
๐ SIMILAR VOLUMES
The second order Wagner-K&wood senuclassical parhtlon function is simply derrved for a generaked one-dimensonal oscdlator. Thermodynamic funtions A. H, E. S. Cy are also given in a simple analytical form. A detailed eomparisun with numerical results for the quark oscillator as example shows very goo
## Approximate analytical expressions for the evaluation of the partition function of an anharmonic oscillator characterized by the spectroscopic energy formula E, = hc[w,(n + f)-oex,( n + i)'] have been suggested. By using these expressions partition functions for a set of representative diatomic