Thermodynamical Properties of High Order Parabosons

Hama, Mitsuru; Sawamura, Makoto; Suzuki, Haruo

doi:10.1143/ptp.88.149

Cited by 5 publications

(9 citation statements)

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“…The factorb 1 is in agreement with result in Ref. [243], where however the prefactorĈ 1 was missing. Here, with the help of Meinardus techniques, we have been able to compute it.…”

Section: Asymptotic Density Of Parabosonic String Quantum Statessupporting

confidence: 91%

Quantum fields and extended objects in space-times with constant curvature spatial section

et al. 1996

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The heat-kernel expansion and ζ-regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times with spatial section consisting in manifold with constant curvature are discussed in detail. Several mathematical results, relevant to physical applications are presented, including exact solutions of the heat-kernel equation, a simple exposition of hyperbolic geometry and an elementary derivation of the Selberg trace formula. With regards to the physical applications, the vacuum energy for scalar fields, the one-loop renormalization of a self-interacting scalar field theory on a hyperbolic space-time, with a discussion on the topological symmetry breaking, the finite temperature effects and the Bose-Einstein condensation, are considered. Some attempts to generalize the results to extended objects are also presented, including some remarks on path integral quantization, asymptotic properties of extended objects and a novel representation for the one-loop (super)string free energy.

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“…The factorb 1 is in agreement with result in Ref. [243], where however the prefactorĈ 1 was missing. Here, with the help of Meinardus techniques, we have been able to compute it.…”

Section: Asymptotic Density Of Parabosonic String Quantum Statessupporting

confidence: 91%

Quantum fields and extended objects in space-times with constant curvature spatial section

et al. 1996

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“…A closed form for the partition function Z(t) = Tr e −tH , the trace being computed over the entire Fock space, in the limit p → ∞, reads (see, for example, [7])…”

Section: Partition Function For Parabosonic Stringsmentioning

confidence: 99%

“…The factor b1 is in agreement with ref. [7], where, however, the prefactor Ĉ1 was missing. Here, with the help of Meinardus's techniques, we have been able to compute it.…”

Section: Asymptotic Level State Density For Parabosonic Stringmentioning

confidence: 99%

Asymptotic level state density for parabosonic strings

Bytsenko

Odintsov

Zerbini

1994

Journal of Mathematical Physics

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“…Hal ini diduga bahwa untuk parafermi orde p, jika maka menjadi partikel fermi, jika berperilaku mirip paraboson dan jika akan menjadi partikel boson. Parafermion merupakan partikel non-elementer yang memiliki perilaku antara partikel fermion dan partikel boson [15][16][17][18]. Dari grafik 5 terlihat Z(T) untuk sistem paraboson-parafermion maupun sistem bosonfermion memiliki pola yang sama.…”

Section: Hasil Dan Pembahasanunclassified

Distribution of Parastatistics Functions: An Overview of Thermodynamics Properties

Sari¹,

Dwandaru²

2016

JSD

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AbstrakPenelitian ini bertujuan untuk mengetahui sifat-sifat termodinamika dari sistem parastatistik orde dua. Sifat-sifat termodinamika yang akan dicari antara lain fungsi partisi kanonik lengkap Z dan rerata jumlah partikel N. Sistem parastatistik ini merupakan bentuk yang lebih umum dari jenis distribusi statistik kuantum yang telah dikenal sebelumnya, yaitu Fermi-Dirac (FD) dan Bose-Einstein (BE). Berawal dari kaitan rekursi fungsi partisi kanonik lengkap untuk sistem parastatistik orde dua yang telah diketahui, dijabarkan kaitan-kaitan rekursi untuk beberapa fungsi termodinamika sederhana bagi sistem parastatistik orde dua. Kaitan-kaitan rekursi tersebut kemudian digunakan untuk menghitung fungsi-fungsi termodinamika model sistem partikel identik dengan tingkat energi terbatas yang mirip osilator harmonik. Dari hasil penelitian ini diperoleh kesimpulan bahwa dari fungsi partisi kanonik lengkap, Z, sistem parastatistik (paraboson dan parafermion) orde dua dapat diturunkan fungsi-fungsi termodinamikanya dan memiliki kemiripan bentuk grafik dengan sistem parastatistik orde satu (Boson dan Fermion). Kemiripan bentuk grafik ini menunjukkan sifat-sifat termodinamikanya sama. AbstractThis study aims to determine the thermodynamic properties of the parastatistics system of order two. The thermodynamic properties to be searched include the Grand Canonical Partition Function (GCPF) Z, and the average number of particles N. These parastatistics systems is in a more general form compared to quantum statistical distribution that has been known previously, i.e.: the Fermi-Dirac (FD) and Bose-Einstein (BE). Starting from the recursion relation of grand canonical partition function for parastatistics system of order two that has been known, recuresion linkages for some simple thermodynamic functions for parastatistics system of order two are derived. The recursion linkages are then used to calculate the thermodynamic functions of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. From these results we concluded that from the Grand Canonical Partition Function (GCPF), Z, the thermodynamics properties of parastatistics system of order two (paraboson and parafermion) can be derived and have similar shape with parastatistics system of order one (Boson and Fermion). The similarity of the graph shows similar thermodynamic properties.

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Thermodynamical Properties of High Order Parabosons

Cited by 5 publications

References 0 publications

Quantum fields and extended objects in space-times with constant curvature spatial section

Quantum fields and extended objects in space-times with constant curvature spatial section

Asymptotic level state density for parabosonic strings

Distribution of Parastatistics Functions: An Overview of Thermodynamics Properties

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