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Register a new userدراسة للاندفاعات الكوانتية غير القابلة للانضغاط
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Damascus University ورقة بحثية
Publication date
1998
fields
Physics
and research's language is
العربية
Authors
قيصر فيازمينسكي( باحث )
Created by
Shamra Editor
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ندرس في منوعة ريمانية خواص الاندفاع غير القابل للانضغاط، و هو الاندفاع المولد بحقل غير قابل للانضغاط، إذ ننشئ مجموعة تامة من الملحوظات الفيزيائية، أحد عناصرها اندفاع غير قابل للانضغاط، و نعين مجموعة توابعها الذاتية المشتركة، و نستفيد من هذا في دراسة خصائص هذه الاندفاعات موضحين أن كثافة احتمال توزع الإحداثيات عقب قياس للاندفاع تكون مستقلة عن الموضع، و هو يماثل ما نجده في الاندفاعات الديكارتية في فراغ اقليدي؛ نبين أيضا أن اندفاعًا قابلا للانضغاط لن يحمل معنى فيزيائيا ما لم يفرض عليه شرط محدد؛ و نبرهن أن مسالة إنشاء مجموعة تامة من الاندفاعات غير القابلة للانضغاط؛ أحد عناصرها معطى سلفًا، لا تقبل الحل في صورتها العامة؛ ننشئ في الفراغ الاقليدي في كل من الإحداثيات الأسطوانية و الكروية مجموعة تامة من الاندفاعات غير القابلة للانضغاط، حيث تتضمن الأولى عبارة جديدة للاندفاع المحوري، و تتضمن الثانية عبارتين جديدتين للاندفاعين القطري و السمتي؛ نستعرض أخيرا أوجه الشبه بين الاندفاعات غير القابلة للانضغاط و الاندفاعات الديكارتية.
No English abstract
References used
Abraham R. and Marsden J. E. (١٩٧٨) Foundations of Mechanics. The Benjamin - Cummings Publishing Company , Reading
Akheizer N. and Glazmann I. (١٩٦٣) Theory of Linear Operators in Hilbert Space. Ungar, New York
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