a song very near to my heart written by Gulzar

तुझ से नाराज़ नहीं, जिन्दगी हैरान हूँ मैं,

तेरे मासूम सवालों से परेशान हूँ मैं|

जीने के लिए सोचा ही नहीं, दर्द सँभालने होंगे,

मुस्कुराये तो मुस्कुराने के, क़र्ज़ उतारने होंगे,

मुस्कुराऊ कभी तो लगता है, जैसे होठों पे क़र्ज़ रखा है|

आज अगर भर आई हैं, बूंदे बरस जायेंगी,

कल क्या पता, इनके लिए आँखें तरस जायेंगी,

जाने कब गुम हुआ, कहाँ खोया, एक आंसू छुपा के रखा था|

तुझ से नाराज़ नहीं, जिन्दगी हैरान हूँ मैं,

तेरे मासूम सवालों से परेशान हूँ मैं|

Another approach for Quantum statistics

I am not really aware of the existance of this view.

I will try my best to put in words:

(i) As temperature does not appear directly into either of the quantum views formally put by Heisenberg, Schrodinger, Dirac, (Though the discovery of the Quanta by planck was driven by the Black Body Radiation), to obatin the mathematical forms of  the eigenfunctions, wavefunctions, and quantum indices.

(ii) What changes with the temeprature is the occupancy nature of the obtained quantum indices for fermions and bosons.

(iii) Now lets think of a quantum system with many body system (in the sense it really requires a traditional quantum analysis way using either Bose or Fermi statistics to descirbe it). And we want to describe the dynamical observables and consequently their functions and consequences. We do not opt for statistical way, rather we solve it numerically(atleast 4 computational cores required) by one of the formal ways mentioned in the (i) point, to obatin the total eigenfunctions and states of the system. Once we are done, we evaluate the different energy configurations (0-to Inf) and count, for the distinguishable states, the set of bodies' distribution for corresponding config. With this analysis a parameter  would be extracted, which we will call it later on The Temperature.  

कज़ा

तेरे क़दमों पे सर होगा, कज़ा (मौत) सर पे खड़ी होगी,

फिर उस सजदे का क्या कहना, अनोखी बंदगी होगी|

नसीमें सुबह गुलशन में, गुलों से खेलती होगी,

किसी की आखिरी हिचकी, किसी की दिल्लगी होगी|

दिखा दूंगा सरे महफिल, बता दूंगा सरे महशिल,

वो मेरे दिल में होंगे, और दुनिया देखती होगी|

मज़ा आ जायेगा महशिल में फिर सुनने सुनाने का,

ज़ुबां होगी वहां मेरी, कहानी आपकी होगी|

तुम्हे दानिस्ता महफिल में जो देखा हो तो मुजरिम,

नज़र आखिर नज़र है, बेइरादा उट्ठ गयी होगी|

T1

(1) the beauty of the mathematical formalism ("M") is so that sometimes when you are 

completely clueless  about the physical behaviour of the process, the "M" leads you on the way 

to unroll the mystery of the physical process, & then I admire calling it ("M")  as a natural 

science in itself, not just a tool. --rawat

(2) Matter-radiation Selection rules and Selection rules of Indian classical music shruti's. (An Analogy I will write in detail)

(4) Mind can sense much lower temperatures and much higher temperatures, which led us 

to think of thought experiments, which led humans to make experimental chambers to 

create those ambeinces to observe the q-effects associated with q-statistics, Human's surviving/living temperature range is not regarded by the nature to show its Q-beauty directly.

& Nature enjoys this sadistic pleausre. :)