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60 lines
1.4 KiB
60 lines
1.4 KiB
"""Constants (like hbar) related to quantum mechanics."""
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from sympy.core.numbers import NumberSymbol
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from sympy.core.singleton import Singleton
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from sympy.printing.pretty.stringpict import prettyForm
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import mpmath.libmp as mlib
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#-----------------------------------------------------------------------------
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# Constants
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#-----------------------------------------------------------------------------
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__all__ = [
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'hbar',
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'HBar',
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]
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class HBar(NumberSymbol, metaclass=Singleton):
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"""Reduced Plank's constant in numerical and symbolic form [1]_.
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Examples
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========
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>>> from sympy.physics.quantum.constants import hbar
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>>> hbar.evalf()
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1.05457162000000e-34
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References
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==========
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.. [1] https://en.wikipedia.org/wiki/Planck_constant
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"""
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is_real = True
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is_positive = True
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is_negative = False
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is_irrational = True
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__slots__ = ()
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def _as_mpf_val(self, prec):
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return mlib.from_float(1.05457162e-34, prec)
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def _sympyrepr(self, printer, *args):
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return 'HBar()'
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def _sympystr(self, printer, *args):
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return 'hbar'
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def _pretty(self, printer, *args):
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if printer._use_unicode:
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return prettyForm('\N{PLANCK CONSTANT OVER TWO PI}')
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return prettyForm('hbar')
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def _latex(self, printer, *args):
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return r'\hbar'
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# Create an instance for everyone to use.
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hbar = HBar()
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