We look at a real scalar field in thermal equilibrium in the context of the new normal ordering and field split defined by Evans and Steer [1]. We show that the field split defines a natural canonical transformation, but that this transformation differs from others known in thermal field theory.

patients and methods in this cross-sectional study, data of 584 female patients (mean age of 45.9 years) referred to breast cancer research center (tehran, iran) were analyzed anonymously. spss and norm softwares (2.03) were used for data transformation, running and interpretation of cca and replacing missing values, respectively. data were obtained from breast cancer research center, tehran, i...

The quasiparticle effective mass $m^\ast$ of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, precise value uniform electron gas still elusive after decades research. newly developed neural canonical transformation approach [Xie et al., J. Mach. Learn. 1, (2022)] offers principled way to extract by directly calculating thermal entropy at low temperature. mode...

In high-consequence systems, there is a high cost associated with failure. Thus, there should be strong evidence that the systems will not fail in field. Such evidence cannot be obtained by traditional verification methods such as testing. Transformation-oriented programming (TOP) is a promising formal software development technique. In TOP, a source file that represents a correct formal specif...